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\\mu^2",[573,910,912,940,974,1030,1084,1117,1162,1215],{"className":911,"ariaHidden":611},[610],[573,913,915,918,922,925,928,931,934,937],{"className":914},[615],[573,916],{"className":917,"style":702},[619],[573,919,814],{"className":920,"style":921},[624,628],"margin-right:0.2222em;",[573,923,684],{"className":924},[710],[573,926,597],{"className":927,"style":629},[624,628],[573,929,689],{"className":930},[717],[573,932],{"className":933,"style":768},[767],[573,935,739],{"className":936},[772],[573,938],{"className":939,"style":768},[767],[573,941,943,947,950,958,961,964,967,971],{"className":942},[615],[573,944],{"className":945,"style":946},[619],"height:1.2em;vertical-align:-0.35em;",[573,948,679],{"className":949,"style":706},[624,628],[573,951,953],{"className":952},[624],[573,954,828],{"className":955},[956,957],"delimsizing","size1",[573,959,684],{"className":960},[710],[573,962,597],{"className":963,"style":629},[624,628],[573,965],{"className":966,"style":921},[767],[573,968,835],{"className":969},[970],"mbin",[573,972],{"className":973,"style":921},[767],[573,975,977,981,984,1015,1021,1024,1027],{"className":976},[615],[573,978],{"className":979,"style":980},[619],"height:1.2141em;vertical-align:-0.35em;",[573,982,736],{"className":983},[624,628],[573,985,987,990],{"className":986},[717],[573,988,689],{"className":989},[717],[573,991,993],{"className":992},[633],[573,994,996],{"className":995},[637],[573,997,999],{"className":998},[641],[573,1000,1003],{"className":1001,"style":1002},[645],"height:0.8641em;",[573,1004,1006,1009],{"style":1005},"top:-3.113em;margin-right:0.05em;",[573,1007],{"className":1008,"style":653},[652],[573,1010,1012],{"className":1011},[657,658,659,660],[573,1013,601],{"className":1014},[624,660],[573,1016,1018],{"className":1017},[624],[573,1019,846],{"className":1020},[956,957],[573,1022],{"className":1023,"style":768},[767],[573,1025,739],{"className":1026},[772],[573,1028],{"className":1029,"style":768},[767],[573,1031,1033,1037,1040,1043,1072,1075,1078,1081],{"className":1032},[615],[573,1034],{"className":1035,"style":1036},[619],"height:1.1141em;vertical-align:-0.25em;",[573,1038,679],{"className":1039,"style":706},[624,628],[573,1041,684],{"className":1042},[710],[573,1044,1046,1049],{"className":1045},[624],[573,1047,597],{"className":1048,"style":629},[624,628],[573,1050,1052],{"className":1051},[633],[573,1053,1055],{"className":1054},[637],[573,1056,1058],{"className":1057},[641],[573,1059,1061],{"className":1060,"style":1002},[645],[573,1062,1063,1066],{"style":1005},[573,1064],{"className":1065,"style":653},[652],[573,1067,1069],{"className":1068},[657,658,659,660],[573,1070,601],{"className":1071},[624,660],[573,1073,689],{"className":1074},[717],[573,1076],{"className":1077,"style":921},[767],[573,1079,835],{"className":1080},[970],[573,1082],{"className":1083,"style":921},[767],[573,1085,1087,1090,1093,1096,1099,1102,1105,1108,1111,1114],{"className":1086},[615],[573,1088],{"className":1089,"style":702},[619],[573,1091,601],{"className":1092},[624],[573,1094,736],{"className":1095},[624,628],[573,1097,679],{"className":1098,"style":706},[624,628],[573,1100,684],{"className":1101},[710],[573,1103,597],{"className":1104,"style":629},[624,628],[573,1106,689],{"className":1107},[717],[573,1109],{"className":1110,"style":921},[767],[573,1112,877],{"className":1113},[970],[573,1115],{"className":1116,"style":921},[767],[573,1118,1120,1124,1153,1156,1159],{"className":1119},[615],[573,1121],{"className":1122,"style":1123},[619],"height:1.0585em;vertical-align:-0.1944em;",[573,1125,1127,1130],{"className":1126},[624],[573,1128,736],{"className":1129},[624,628],[573,1131,1133],{"className":1132},[633],[573,1134,1136],{"className":1135},[637],[573,1137,1139],{"className":1138},[641],[573,1140,1142],{"className":1141,"style":1002},[645],[573,1143,1144,1147],{"style":1005},[573,1145],{"className":1146,"style":653},[652],[573,1148,1150],{"className":1149},[657,658,659,660],[573,1151,601],{"className":1152},[624,660],[573,1154],{"className":1155,"style":768},[767],[573,1157,739],{"className":1158},[772],[573,1160],{"className":1161,"style":768},[767],[573,1163,1165,1168,1171,1174,1203,1206,1209,1212],{"className":1164},[615],[573,1166],{"className":1167,"style":1036},[619],[573,1169,679],{"className":1170,"style":706},[624,628],[573,1172,684],{"className":1173},[710],[573,1175,1177,1180],{"className":1176},[624],[573,1178,597],{"className":1179,"style":629},[624,628],[573,1181,1183],{"className":1182},[633],[573,1184,1186],{"className":1185},[637],[573,1187,1189],{"className":1188},[641],[573,1190,1192],{"className":1191,"style":1002},[645],[573,1193,1194,1197],{"style":1005},[573,1195],{"className":1196,"style":653},[652],[573,1198,1200],{"className":1199},[657,658,659,660],[573,1201,601],{"className":1202},[624,660],[573,1204,689],{"className":1205},[717],[573,1207],{"className":1208,"style":921},[767],[573,1210,835],{"className":1211},[970],[573,1213],{"className":1214,"style":921},[767],[573,1216,1218,1221],{"className":1217},[615],[573,1219],{"className":1220,"style":1123},[619],[573,1222,1224,1227],{"className":1223},[624],[573,1225,736],{"className":1226},[624,628],[573,1228,1230],{"className":1229},[633],[573,1231,1233],{"className":1232},[637],[573,1234,1236],{"className":1235},[641],[573,1237,1239],{"className":1238,"style":1002},[645],[573,1240,1241,1244],{"style":1005},[573,1242],{"className":1243,"style":653},[652],[573,1245,1247],{"className":1246},[657,658,659,660],[573,1248,601],{"className":1249},[624,660],[565,1251,1252],{},"Verwandte Formen:",[1254,1255,1256,1648,2176],"ul",{},[1257,1258,1259,1262,1263,1521,1522,1579,1580,1647],"li",{},[569,1260,1261],{},"Allgemeiner Bezugspunkt"," (Steinerscher Satz): ",[573,1264,1266,1331],{"className":1265},[576],[573,1267,1269],{"className":1268},[580],[582,1270,1271],{"xmlns":584},[586,1272,1273,1328],{},[589,1274,1275,1277,1279,1281,1283,1285,1288,1294,1296,1298,1300,1302,1304,1306,1308,1310,1312,1314,1316,1318,1320,1322],{},[595,1276,679],{},[681,1278,828],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[681,1280,684],{"stretchy":683},[595,1282,597],{},[681,1284,835],{},[595,1286,1287],{},"c",[592,1289,1290,1292],{},[681,1291,689],{"stretchy":683},[599,1293,601],{},[681,1295,846],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[681,1297,739],{},[595,1299,814],{},[681,1301,684],{"stretchy":683},[595,1303,597],{},[681,1305,689],{"stretchy":683},[681,1307,877],{},[681,1309,684],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[595,1311,679],{},[681,1313,684],{"stretchy":683},[595,1315,597],{},[681,1317,689],{"stretchy":683},[681,1319,835],{},[595,1321,1287],{},[592,1323,1324,1326],{},[681,1325,689],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[599,1327,601],{},[603,1329,1330],{"encoding":605},"E\\big[(X - c)^2\\big] = V(X) + \\big(E(X) - c\\big)^2",[573,1332,1334,1364,1417,1444,1477],{"className":1333,"ariaHidden":611},[610],[573,1335,1337,1340,1343,1349,1352,1355,1358,1361],{"className":1336},[615],[573,1338],{"className":1339,"style":946},[619],[573,1341,679],{"className":1342,"style":706},[624,628],[573,1344,1346],{"className":1345},[624],[573,1347,828],{"className":1348},[956,957],[573,1350,684],{"className":1351},[710],[573,1353,597],{"className":1354,"style":629},[624,628],[573,1356],{"className":1357,"style":921},[767],[573,1359,835],{"className":1360},[970],[573,1362],{"className":1363,"style":921},[767],[573,1365,1367,1370,1373,1402,1408,1411,1414],{"className":1366},[615],[573,1368],{"className":1369,"style":946},[619],[573,1371,1287],{"className":1372},[624,628],[573,1374,1376,1379],{"className":1375},[717],[573,1377,689],{"className":1378},[717],[573,1380,1382],{"className":1381},[633],[573,1383,1385],{"className":1384},[637],[573,1386,1388],{"className":1387},[641],[573,1389,1391],{"className":1390,"style":620},[645],[573,1392,1393,1396],{"style":648},[573,1394],{"className":1395,"style":653},[652],[573,1397,1399],{"className":1398},[657,658,659,660],[573,1400,601],{"className":1401},[624,660],[573,1403,1405],{"className":1404},[624],[573,1406,846],{"className":1407},[956,957],[573,1409],{"className":1410,"style":768},[767],[573,1412,739],{"className":1413},[772],[573,1415],{"className":1416,"style":768},[767],[573,1418,1420,1423,1426,1429,1432,1435,1438,1441],{"className":1419},[615],[573,1421],{"className":1422,"style":702},[619],[573,1424,814],{"className":1425,"style":921},[624,628],[573,1427,684],{"className":1428},[710],[573,1430,597],{"className":1431,"style":629},[624,628],[573,1433,689],{"className":1434},[717],[573,1436],{"className":1437,"style":921},[767],[573,1439,877],{"className":1440},[970],[573,1442],{"className":1443,"style":921},[767],[573,1445,1447,1450,1456,1459,1462,1465,1468,1471,1474],{"className":1446},[615],[573,1448],{"className":1449,"style":946},[619],[573,1451,1453],{"className":1452},[624],[573,1454,684],{"className":1455},[956,957],[573,1457,679],{"className":1458,"style":706},[624,628],[573,1460,684],{"className":1461},[710],[573,1463,597],{"className":1464,"style":629},[624,628],[573,1466,689],{"className":1467},[717],[573,1469],{"className":1470,"style":921},[767],[573,1472,835],{"className":1473},[970],[573,1475],{"className":1476,"style":921},[767],[573,1478,1480,1484,1487],{"className":1479},[615],[573,1481],{"className":1482,"style":1483},[619],"height:1.404em;vertical-align:-0.35em;",[573,1485,1287],{"className":1486},[624,628],[573,1488,1490,1496],{"className":1489},[624],[573,1491,1493],{"className":1492},[624],[573,1494,689],{"className":1495},[956,957],[573,1497,1499],{"className":1498},[633],[573,1500,1502],{"className":1501},[637],[573,1503,1505],{"className":1504},[641],[573,1506,1509],{"className":1507,"style":1508},[645],"height:1.054em;",[573,1510,1512,1515],{"style":1511},"top:-3.3029em;margin-right:0.05em;",[573,1513],{"className":1514,"style":653},[652],[573,1516,1518],{"className":1517},[657,658,659,660],[573,1519,601],{"className":1520},[624,660]," für jedes ",[573,1523,1525,1546],{"className":1524},[576],[573,1526,1528],{"className":1527},[580],[582,1529,1530],{"xmlns":584},[586,1531,1532,1543],{},[589,1533,1534,1536,1539],{},[595,1535,1287],{},[681,1537,1538],{},"∈",[595,1540,1542],{"mathvariant":1541},"double-struck","R",[603,1544,1545],{"encoding":605},"c \\in \\mathbb{R}",[573,1547,1549,1568],{"className":1548,"ariaHidden":611},[610],[573,1550,1552,1556,1559,1562,1565],{"className":1551},[615],[573,1553],{"className":1554,"style":1555},[619],"height:0.5782em;vertical-align:-0.0391em;",[573,1557,1287],{"className":1558},[624,628],[573,1560],{"className":1561,"style":768},[767],[573,1563,1538],{"className":1564},[772],[573,1566],{"className":1567,"style":768},[767],[573,1569,1571,1575],{"className":1570},[615],[573,1572],{"className":1573,"style":1574},[619],"height:0.6889em;",[573,1576,1542],{"className":1577},[624,1578],"mathbb",". Die mittlere quadratische Abweichung ist also für ",[573,1581,1583,1607],{"className":1582},[576],[573,1584,1586],{"className":1585},[580],[582,1587,1588],{"xmlns":584},[586,1589,1590,1604],{},[589,1591,1592,1594,1596,1598,1600,1602],{},[595,1593,1287],{},[681,1595,739],{},[595,1597,679],{},[681,1599,684],{"stretchy":683},[595,1601,597],{},[681,1603,689],{"stretchy":683},[603,1605,1606],{"encoding":605},"c = E(X)",[573,1608,1610,1629],{"className":1609,"ariaHidden":611},[610],[573,1611,1613,1617,1620,1623,1626],{"className":1612},[615],[573,1614],{"className":1615,"style":1616},[619],"height:0.4306em;",[573,1618,1287],{"className":1619},[624,628],[573,1621],{"className":1622,"style":768},[767],[573,1624,739],{"className":1625},[772],[573,1627],{"className":1628,"style":768},[767],[573,1630,1632,1635,1638,1641,1644],{"className":1631},[615],[573,1633],{"className":1634,"style":702},[619],[573,1636,679],{"className":1637,"style":706},[624,628],[573,1639,684],{"className":1640},[710],[573,1642,597],{"className":1643,"style":629},[624,628],[573,1645,689],{"className":1646},[717]," am kleinsten.",[1257,1649,1650,1653,1654,2175],{},[569,1651,1652],{},"Empirisch",": 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(x_i - \\bar{x})^2 = \\sum_{i=1}^{n} x_i^2 - 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an:",[573,2831,2833],{"className":2832},[798],[573,2834,2836,2886],{"className":2835},[576],[573,2837,2839],{"className":2838},[580],[582,2840,2841],{"xmlns":584,"display":807},[586,2842,2843,2883],{},[589,2844,2845,2847,2849,2851,2853,2855,2857,2860,2862,2864,2866,2868,2870,2872,2874,2876,2878,2880],{},[595,2846,679],{},[681,2848,684],{"stretchy":683},[595,2850,597],{},[681,2852,689],{"stretchy":683},[681,2854,739],{},[599,2856,2385],{},[681,2858,2859],{},"⋅",[599,2861,2723],{},[681,2863,877],{},[599,2865,1681],{},[681,2867,2859],{},[599,2869,2763],{},[681,2871,877],{},[599,2873,601],{},[681,2875,2859],{},[599,2877,2803],{},[681,2879,739],{},[599,2881,2882],{},"1,1",[603,2884,2885],{"encoding":605},"E(X) = 0 \\cdot 0{,}2 + 1 \\cdot 0{,}5 + 2 \\cdot 0{,}3 = 1{,}1",[573,2887,2889,2916,2934,2961,2979,3006,3024,3051],{"className":2888,"ariaHidden":611},[610],[573,2890,2892,2895,2898,2901,2904,2907,2910,2913],{"className":2891},[615],[573,2893],{"className":2894,"style":702},[619],[573,2896,679],{"className":2897,"style":706},[624,628],[573,2899,684],{"className":2900},[710],[573,2902,597],{"className":2903,"style":629},[624,628],[573,2905,689],{"className":2906},[717],[573,2908],{"className":2909,"style":768},[767],[573,2911,739],{"className":2912},[772],[573,2914],{"className":2915,"style":768},[767],[573,2917,2919,2922,2925,2928,2931],{"className":2918},[615],[573,2920],{"className":2921,"style":2425},[619],[573,2923,2385],{"className":2924},[624],[573,2926],{"className":2927,"style":921},[767],[573,2929,2859],{"className":2930},[970],[573,2932],{"className":2933,"style":921},[767],[573,2935,2937,2940,2943,2949,2952,2955,2958],{"className":2936},[615],[573,2938],{"className":2939,"style":2736},[619],[573,2941,2385],{"className":2942},[624],[573,2944,2946],{"className":2945},[624],[573,2947,2206],{"className":2948},[2275],[573,2950,601],{"className":2951},[624],[573,2953],{"className":2954,"style":921},[767],[573,2956,877],{"className":2957},[970],[573,2959],{"className":2960,"style":921},[767],[573,2962,2964,2967,2970,2973,2976],{"className":2963},[615],[573,2965],{"className":2966,"style":2425},[619],[573,2968,1681],{"className":2969},[624],[573,2971],{"className":2972,"style":921},[767],[573,2974,2859],{"className":2975},[970],[573,2977],{"className":2978,"style":921},[767],[573,2980,2982,2985,2988,2994,2997,3000,3003],{"className":2981},[615],[573,2983],{"className":2984,"style":2736},[619],[573,2986,2385],{"className":2987},[624],[573,2989,2991],{"className":2990},[624],[573,2992,2206],{"className":2993},[2275],[573,2995,2788],{"className":2996},[624],[573,2998],{"className":2999,"style":921},[767],[573,3001,877],{"className":3002},[970],[573,3004],{"className":3005,"style":921},[767],[573,3007,3009,3012,3015,3018,3021],{"className":3008},[615],[573,3010],{"className":3011,"style":2425},[619],[573,3013,601],{"className":3014},[624],[573,3016],{"className":3017,"style":921},[767],[573,3019,2859],{"className":3020},[970],[573,3022],{"className":3023,"style":921},[767],[573,3025,3027,3030,3033,3039,3042,3045,3048],{"className":3026},[615],[573,3028],{"className":3029,"style":2736},[619],[573,3031,2385],{"className":3032},[624],[573,3034,3036],{"className":3035},[624],[573,3037,2206],{"className":3038},[2275],[573,3040,2828],{"className":3041},[624],[573,3043],{"className":3044,"style":768},[767],[573,3046,739],{"className":3047},[772],[573,3049],{"className":3050,"style":768},[767],[573,3052,3054,3057,3060,3066],{"className":3053},[615],[573,3055],{"className":3056,"style":2736},[619],[573,3058,1681],{"className":3059},[624],[573,3061,3063],{"className":3062},[624],[573,3064,2206],{"className":3065},[2275],[573,3067,1681],{"className":3068},[624],[573,3070,3072],{"className":3071},[798],[573,3073,3075,3129],{"className":3074},[576],[573,3076,3078],{"className":3077},[580],[582,3079,3080],{"xmlns":584,"display":807},[586,3081,3082,3126],{},[589,3083,3084,3086,3088,3094,3096,3098,3100,3102,3104,3106,3108,3110,3112,3114,3117,3119,3121,3123],{},[595,3085,679],{},[681,3087,684],{"stretchy":683},[592,3089,3090,3092],{},[595,3091,597],{},[599,3093,601],{},[681,3095,689],{"stretchy":683},[681,3097,739],{},[599,3099,2385],{},[681,3101,2859],{},[599,3103,2723],{},[681,3105,877],{},[599,3107,1681],{},[681,3109,2859],{},[599,3111,2763],{},[681,3113,877],{},[599,3115,3116],{},"4",[681,3118,2859],{},[599,3120,2803],{},[681,3122,739],{},[599,3124,3125],{},"1,7",[603,3127,3128],{"encoding":605},"E(X^2) = 0 \\cdot 0{,}2 + 1 \\cdot 0{,}5 + 4 \\cdot 0{,}3 = 1{,}7",[573,3130,3132,3185,3203,3230,3248,3275,3293,3320],{"className":3131,"ariaHidden":611},[610],[573,3133,3135,3138,3141,3144,3173,3176,3179,3182],{"className":3134},[615],[573,3136],{"className":3137,"style":1036},[619],[573,3139,679],{"className":3140,"style":706},[624,628],[573,3142,684],{"className":3143},[710],[573,3145,3147,3150],{"className":3146},[624],[573,3148,597],{"className":3149,"style":629},[624,628],[573,3151,3153],{"className":3152},[633],[573,3154,3156],{"className":3155},[637],[573,3157,3159],{"className":3158},[641],[573,3160,3162],{"className":3161,"style":1002},[645],[573,3163,3164,3167],{"style":1005},[573,3165],{"className":3166,"style":653},[652],[573,3168,3170],{"className":3169},[657,658,659,660],[573,3171,601],{"className":3172},[624,660],[573,3174,689],{"className":3175},[717],[573,3177],{"className":3178,"style":768},[767],[573,3180,739],{"className":3181},[772],[573,3183],{"className":3184,"style":768},[767],[573,3186,3188,3191,3194,3197,3200],{"className":3187},[615],[573,3189],{"className":3190,"style":2425},[619],[573,3192,2385],{"className":3193},[624],[573,3195],{"className":3196,"style":921},[767],[573,3198,2859],{"className":3199},[970],[573,3201],{"className":3202,"style":921},[767],[573,3204,3206,3209,3212,3218,3221,3224,3227],{"className":3205},[615],[573,3207],{"className":3208,"style":2736},[619],[573,3210,2385],{"className":3211},[624],[573,3213,3215],{"className":3214},[624],[573,3216,2206],{"className":3217},[2275],[573,3219,601],{"className":3220},[624],[573,3222],{"className":3223,"style":921},[767],[573,3225,877],{"className":3226},[970],[573,3228],{"className":3229,"style":921},[767],[573,3231,3233,3236,3239,3242,3245],{"className":3232},[615],[573,3234],{"className":3235,"style":2425},[619],[573,3237,1681],{"className":3238},[624],[573,3240],{"className":3241,"style":921},[767],[573,3243,2859],{"className":3244},[970],[573,3246],{"className":3247,"style":921},[767],[573,3249,3251,3254,3257,3263,3266,3269,3272],{"className":3250},[615],[573,3252],{"className":3253,"style":2736},[619],[573,3255,2385],{"className":3256},[624],[573,3258,3260],{"className":3259},[624],[573,3261,2206],{"className":3262},[2275],[573,3264,2788],{"className":3265},[624],[573,3267],{"className":3268,"style":921},[767],[573,3270,877],{"className":3271},[970],[573,3273],{"className":3274,"style":921},[767],[573,3276,3278,3281,3284,3287,3290],{"className":3277},[615],[573,3279],{"className":3280,"style":2425},[619],[573,3282,3116],{"className":3283},[624],[573,3285],{"className":3286,"style":921},[767],[573,3288,2859],{"className":3289},[970],[573,3291],{"className":3292,"style":921},[767],[573,3294,3296,3299,3302,3308,3311,3314,3317],{"className":3295},[615],[573,3297],{"className":3298,"style":2736},[619],[573,3300,2385],{"className":3301},[624],[573,3303,3305],{"className":3304},[624],[573,3306,2206],{"className":3307},[2275],[573,3309,2828],{"className":3310},[624],[573,3312],{"className":3313,"style":768},[767],[573,3315,739],{"className":3316},[772],[573,3318],{"className":3319,"style":768},[767],[573,3321,3323,3326,3329,3335],{"className":3322},[615],[573,3324],{"className":3325,"style":2736},[619],[573,3327,1681],{"className":3328},[624],[573,3330,3332],{"className":3331},[624],[573,3333,2206],{"className":3334},[2275],[573,3336,3338],{"className":3337},[624],"7",[573,3340,3342],{"className":3341},[798],[573,3343,3345,3382],{"className":3344},[576],[573,3346,3348],{"className":3347},[580],[582,3349,3350],{"xmlns":584,"display":807},[586,3351,3352,3379],{},[589,3353,3354,3356,3358,3360,3362,3364,3366,3368,3374,3376],{},[595,3355,814],{},[681,3357,684],{"stretchy":683},[595,3359,597],{},[681,3361,689],{"stretchy":683},[681,3363,739],{},[599,3365,3125],{},[681,3367,835],{},[592,3369,3370,3372],{},[599,3371,2882],{},[599,3373,601],{},[681,3375,739],{},[599,3377,3378],{},"0,49",[603,3380,3381],{"encoding":605},"V(X) = 1{,}7 - 1{,}1^2 = 0{,}49",[573,3383,3385,3412,3439,3492],{"className":3384,"ariaHidden":611},[610],[573,3386,3388,3391,3394,3397,3400,3403,3406,3409],{"className":3387},[615],[573,3389],{"className":3390,"style":702},[619],[573,3392,814],{"className":3393,"style":921},[624,628],[573,3395,684],{"className":3396},[710],[573,3398,597],{"className":3399,"style":629},[624,628],[573,3401,689],{"className":3402},[717],[573,3404],{"className":3405,"style":768},[767],[573,3407,739],{"className":3408},[772],[573,3410],{"className":3411,"style":768},[767],[573,3413,3415,3418,3421,3427,3430,3433,3436],{"className":3414},[615],[573,3416],{"className":3417,"style":2736},[619],[573,3419,1681],{"className":3420},[624],[573,3422,3424],{"className":3423},[624],[573,3425,2206],{"className":3426},[2275],[573,3428,3338],{"className":3429},[624],[573,3431],{"className":3432,"style":921},[767],[573,3434,835],{"className":3435},[970],[573,3437],{"className":3438,"style":921},[767],[573,3440,3442,3445,3448,3454,3483,3486,3489],{"className":3441},[615],[573,3443],{"className":3444,"style":1123},[619],[573,3446,1681],{"className":3447},[624],[573,3449,3451],{"className":3450},[624],[573,3452,2206],{"className":3453},[2275],[573,3455,3457,3460],{"className":3456},[624],[573,3458,1681],{"className":3459},[624],[573,3461,3463],{"className":3462},[633],[573,3464,3466],{"className":3465},[637],[573,3467,3469],{"className":3468},[641],[573,3470,3472],{"className":3471,"style":1002},[645],[573,3473,3474,3477],{"style":1005},[573,3475],{"className":3476,"style":653},[652],[573,3478,3480],{"className":3479},[657,658,659,660],[573,3481,601],{"className":3482},[624,660],[573,3484],{"className":3485,"style":768},[767],[573,3487,739],{"className":3488},[772],[573,3490],{"className":3491,"style":768},[767],[573,3493,3495,3498,3501,3507],{"className":3494},[615],[573,3496],{"className":3497,"style":2736},[619],[573,3499,2385],{"className":3500},[624],[573,3502,3504],{"className":3503},[624],[573,3505,2206],{"className":3506},[2275],[573,3508,3510],{"className":3509},[624],"49",[565,3512,3513,3514,3753,3754,2175],{},"Die Definition ",[573,3515,3517,3568],{"className":3516},[576],[573,3518,3520],{"className":3519},[580],[582,3521,3522],{"xmlns":584},[586,3523,3524,3565],{},[589,3525,3526,3528,3530,3536,3538,3540,3546,3548,3551,3553,3555,3557,3563],{},[681,3527,1671],{},[681,3529,684],{"stretchy":683},[1688,3531,3532,3534],{},[595,3533,1692],{},[595,3535,1676],{},[681,3537,835],{},[595,3539,736],{},[592,3541,3542,3544],{},[681,3543,689],{"stretchy":683},[599,3545,601],{},[681,3547,2859],{},[595,3549,3550],{},"P",[681,3552,684],{"stretchy":683},[595,3554,597],{},[681,3556,739],{},[1688,3558,3559,3561],{},[595,3560,1692],{},[595,3562,1676],{},[681,3564,689],{"stretchy":683},[603,3566,3567],{"encoding":605},"\\sum (x_i - \\mu)^2 \\cdot P(X = x_i)",[573,3569,3571,3632,3679,3704],{"className":3570,"ariaHidden":611},[610],[573,3572,3574,3577,3580,3583,3623,3626,3629],{"className":3573},[615],[573,3575],{"className":3576,"style":702},[619],[573,3578,1671],{"className":3579,"style":1771},[1765,1769,1770],[573,3581,684],{"className":3582},[710],[573,3584,3586,3589],{"className":3585},[624],[573,3587,1692],{"className":3588},[624,628],[573,3590,3592],{"className":3591},[633],[573,3593,3595,3615],{"className":3594},[637,1778],[573,3596,3598,3612],{"className":3597},[641],[573,3599,3601],{"className":3600,"style":1857},[645],[573,3602,3603,3606],{"style":1860},[573,3604],{"className":3605,"style":653},[652],[573,3607,3609],{"className":3608},[657,658,659,660],[573,3610,1676],{"className":3611},[624,628,660],[573,3613,1826],{"className":3614},[1825],[573,3616,3618],{"className":3617},[641],[573,3619,3621],{"className":3620,"style":1879},[645],[573,3622],{},[573,3624],{"className":3625,"style":921},[767],[573,3627,835],{"className":3628},[970],[573,3630],{"className":3631,"style":921},[767],[573,3633,3635,3638,3641,3670,3673,3676],{"className":3634},[615],[573,3636],{"className":3637,"style":1897},[619],[573,3639,736],{"className":3640},[624,628],[573,3642,3644,3647],{"className":3643},[717],[573,3645,689],{"className":3646},[717],[573,3648,3650],{"className":3649},[633],[573,3651,3653],{"className":3652},[637],[573,3654,3656],{"className":3655},[641],[573,3657,3659],{"className":3658,"style":620},[645],[573,3660,3661,3664],{"style":648},[573,3662],{"className":3663,"style":653},[652],[573,3665,3667],{"className":3666},[657,658,659,660],[573,3668,601],{"className":3669},[624,660],[573,3671],{"className":3672,"style":921},[767],[573,3674,2859],{"className":3675},[970],[573,3677],{"className":3678,"style":921},[767],[573,3680,3682,3685,3689,3692,3695,3698,3701],{"className":3681},[615],[573,3683],{"className":3684,"style":702},[619],[573,3686,3550],{"className":3687,"style":3688},[624,628],"margin-right:0.1389em;",[573,3690,684],{"className":3691},[710],[573,3693,597],{"className":3694,"style":629},[624,628],[573,3696],{"className":3697,"style":768},[767],[573,3699,739],{"className":3700},[772],[573,3702],{"className":3703,"style":768},[767],[573,3705,3707,3710,3750],{"className":3706},[615],[573,3708],{"className":3709,"style":702},[619],[573,3711,3713,3716],{"className":3712},[624],[573,3714,1692],{"className":3715},[624,628],[573,3717,3719],{"className":3718},[633],[573,3720,3722,3742],{"className":3721},[637,1778],[573,3723,3725,3739],{"className":3724},[641],[573,3726,3728],{"className":3727,"style":1857},[645],[573,3729,3730,3733],{"style":1860},[573,3731],{"className":3732,"style":653},[652],[573,3734,3736],{"className":3735},[657,658,659,660],[573,3737,1676],{"className":3738},[624,628,660],[573,3740,1826],{"className":3741},[1825],[573,3743,3745],{"className":3744},[641],[573,3746,3748],{"className":3747,"style":1879},[645],[573,3749],{},[573,3751,689],{"className":3752},[717]," liefert ebenfalls ",[573,3755,3757,3771],{"className":3756},[576],[573,3758,3760],{"className":3759},[580],[582,3761,3762],{"xmlns":584},[586,3763,3764,3768],{},[589,3765,3766],{},[599,3767,3378],{},[603,3769,3770],{"encoding":605},"0{,}49",[573,3772,3774],{"className":3773,"ariaHidden":611},[610],[573,3775,3777,3780,3783,3789],{"className":3776},[615],[573,3778],{"className":3779,"style":2736},[619],[573,3781,2385],{"className":3782},[624],[573,3784,3786],{"className":3785},[624],[573,3787,2206],{"className":3788},[2275],[573,3790,3510],{"className":3791},[624],[565,3793,3794,3795,2651,3823,2651,3851,3880,3881,1653,3964,4079,4080,4339,4340,2175],{},"Empirisch für die Messwerte ",[573,3796,3798,3811],{"className":3797},[576],[573,3799,3801],{"className":3800},[580],[582,3802,3803],{"xmlns":584},[586,3804,3805,3809],{},[589,3806,3807],{},[599,3808,3116],{},[603,3810,3116],{"encoding":605},[573,3812,3814],{"className":3813,"ariaHidden":611},[610],[573,3815,3817,3820],{"className":3816},[615],[573,3818],{"className":3819,"style":2425},[619],[573,3821,3116],{"className":3822},[624],[573,3824,3826,3839],{"className":3825},[576],[573,3827,3829],{"className":3828},[580],[582,3830,3831],{"xmlns":584},[586,3832,3833,3837],{},[589,3834,3835],{},[599,3836,3338],{},[603,3838,3338],{"encoding":605},[573,3840,3842],{"className":3841,"ariaHidden":611},[610],[573,3843,3845,3848],{"className":3844},[615],[573,3846],{"className":3847,"style":2425},[619],[573,3849,3338],{"className":3850},[624],[573,3852,3854,3868],{"className":3853},[576],[573,3855,3857],{"className":3856},[580],[582,3858,3859],{"xmlns":584},[586,3860,3861,3866],{},[589,3862,3863],{},[599,3864,3865],{},"10",[603,3867,3865],{"encoding":605},[573,3869,3871],{"className":3870,"ariaHidden":611},[610],[573,3872,3874,3877],{"className":3873},[615],[573,3875],{"className":3876,"style":2425},[619],[573,3878,3865],{"className":3879},[624]," mit ",[573,3882,3884,3906],{"className":3883},[576],[573,3885,3887],{"className":3886},[580],[582,3888,3889],{"xmlns":584},[586,3890,3891,3903],{},[589,3892,3893,3899,3901],{},[1698,3894,3895,3897],{"accent":611},[595,3896,1692],{},[681,3898,1704],{},[681,3900,739],{},[599,3902,3338],{},[603,3904,3905],{"encoding":605},"\\bar{x} = 7",[573,3907,3909,3955],{"className":3908,"ariaHidden":611},[610],[573,3910,3912,3915,3946,3949,3952],{"className":3911},[615],[573,3913],{"className":3914,"style":1911},[619],[573,3916,3918],{"className":3917},[624,1901],[573,3919,3921],{"className":3920},[637],[573,3922,3924],{"className":3923},[641],[573,3925,3927,3935],{"className":3926,"style":1911},[645],[573,3928,3929,3932],{"style":1914},[573,3930],{"className":3931,"style":1918},[652],[573,3933,1692],{"className":3934},[624,628],[573,3936,3937,3940],{"style":1914},[573,3938],{"className":3939,"style":1918},[652],[573,3941,3943],{"className":3942,"style":1931},[1930],[573,3944,1704],{"className":3945},[624],[573,3947],{"className":3948,"style":768},[767],[573,3950,739],{"className":3951},[772],[573,3953],{"className":3954,"style":768},[767],[573,3956,3958,3961],{"className":3957},[615],[573,3959],{"className":3960,"style":2425},[619],[573,3962,3338],{"className":3963},[624],[573,3965,3967,3994],{"className":3966},[576],[573,3968,3970],{"className":3969},[580],[582,3971,3972],{"xmlns":584},[586,3973,3974,3991],{},[589,3975,3976,3978,3986,3988],{},[681,3977,1671],{},[1667,3979,3980,3982,3984],{},[595,3981,1692],{},[595,3983,1676],{},[599,3985,601],{},[681,3987,739],{},[599,3989,3990],{},"165",[603,3992,3993],{"encoding":605},"\\sum x_i^2 = 165",[573,3995,3997,4070],{"className":3996,"ariaHidden":611},[610],[573,3998,4000,4004,4007,4010,4061,4064,4067],{"className":3999},[615],[573,4001],{"className":4002,"style":4003},[619],"height:1.0728em;vertical-align:-0.2587em;",[573,4005,1671],{"className":4006,"style":1771},[1765,1769,1770],[573,4008],{"className":4009,"style":2046},[767],[573,4011,4013,4016],{"className":4012},[624],[573,4014,1692],{"className":4015},[624,628],[573,4017,4019],{"className":4018},[633],[573,4020,4022,4053],{"className":4021},[637,1778],[573,4023,4025,4050],{"className":4024},[641],[573,4026,4028,4039],{"className":4027,"style":620},[645],[573,4029,4030,4033],{"style":2067},[573,4031],{"className":4032,"style":653},[652],[573,4034,4036],{"className":4035},[657,658,659,660],[573,4037,1676],{"className":4038},[624,628,660],[573,4040,4041,4044],{"style":648},[573,4042],{"className":4043,"style":653},[652],[573,4045,4047],{"className":4046},[657,658,659,660],[573,4048,601],{"className":4049},[624,660],[573,4051,1826],{"className":4052},[1825],[573,4054,4056],{"className":4055},[641],[573,4057,4059],{"className":4058,"style":2097},[645],[573,4060],{},[573,4062],{"className":4063,"style":768},[767],[573,4065,739],{"className":4066},[772],[573,4068],{"className":4069,"style":768},[767],[573,4071,4073,4076],{"className":4072},[615],[573,4074],{"className":4075,"style":2425},[619],[573,4077,3990],{"className":4078},[624],", also ",[573,4081,4083,4136],{"className":4082},[576],[573,4084,4086],{"className":4085},[580],[582,4087,4088],{"xmlns":584},[586,4089,4090,4133],{},[589,4091,4092,4094,4096,4102,4104,4110,4116,4118,4120,4122,4124,4126,4128,4130],{},[681,4093,1671],{},[681,4095,684],{"stretchy":683},[1688,4097,4098,4100],{},[595,4099,1692],{},[595,4101,1676],{},[681,4103,835],{},[1698,4105,4106,4108],{"accent":611},[595,4107,1692],{},[681,4109,1704],{},[592,4111,4112,4114],{},[681,4113,689],{"stretchy":683},[599,4115,601],{},[681,4117,739],{},[599,4119,3990],{},[681,4121,835],{},[599,4123,2828],{},[681,4125,2859],{},[599,4127,3510],{},[681,4129,739],{},[599,4131,4132],{},"18",[603,4134,4135],{"encoding":605},"\\sum (x_i - \\bar{x})^2 = 165 - 3 \\cdot 49 = 18",[573,4137,4139,4200,4275,4294,4312,4330],{"className":4138,"ariaHidden":611},[610],[573,4140,4142,4145,4148,4151,4191,4194,4197],{"className":4141},[615],[573,4143],{"className":4144,"style":702},[619],[573,4146,1671],{"className":4147,"style":1771},[1765,1769,1770],[573,4149,684],{"className":4150},[710],[573,4152,4154,4157],{"className":4153},[624],[573,4155,1692],{"className":4156},[624,628],[573,4158,4160],{"className":4159},[633],[573,4161,4163,4183],{"className":4162},[637,1778],[573,4164,4166,4180],{"className":4165},[641],[573,4167,4169],{"className":4168,"style":1857},[645],[573,4170,4171,4174],{"style":1860},[573,4172],{"className":4173,"style":653},[652],[573,4175,4177],{"className":4176},[657,658,659,660],[573,4178,1676],{"className":4179},[624,628,660],[573,4181,1826],{"className":4182},[1825],[573,4184,4186],{"className":4185},[641],[573,4187,4189],{"className":4188,"style":1879},[645],[573,4190],{},[573,4192],{"className":4193,"style":921},[767],[573,4195,835],{"className":4196},[970],[573,4198],{"className":4199,"style":921},[767],[573,4201,4203,4206,4237,4266,4269,4272],{"className":4202},[615],[573,4204],{"className":4205,"style":1897},[619],[573,4207,4209],{"className":4208},[624,1901],[573,4210,4212],{"className":4211},[637],[573,4213,4215],{"className":4214},[641],[573,4216,4218,4226],{"className":4217,"style":1911},[645],[573,4219,4220,4223],{"style":1914},[573,4221],{"className":4222,"style":1918},[652],[573,4224,1692],{"className":4225},[624,628],[573,4227,4228,4231],{"style":1914},[573,4229],{"className":4230,"style":1918},[652],[573,4232,4234],{"className":4233,"style":1931},[1930],[573,4235,1704],{"className":4236},[624],[573,4238,4240,4243],{"className":4239},[717],[573,4241,689],{"className":4242},[717],[573,4244,4246],{"className":4245},[633],[573,4247,4249],{"className":4248},[637],[573,4250,4252],{"className":4251},[641],[573,4253,4255],{"className":4254,"style":620},[645],[573,4256,4257,4260],{"style":648},[573,4258],{"className":4259,"style":653},[652],[573,4261,4263],{"className":4262},[657,658,659,660],[573,4264,601],{"className":4265},[624,660],[573,4267],{"className":4268,"style":768},[767],[573,4270,739],{"className":4271},[772],[573,4273],{"className":4274,"style":768},[767],[573,4276,4278,4282,4285,4288,4291],{"className":4277},[615],[573,4279],{"className":4280,"style":4281},[619],"height:0.7278em;vertical-align:-0.0833em;",[573,4283,3990],{"className":4284},[624],[573,4286],{"className":4287,"style":921},[767],[573,4289,835],{"className":4290},[970],[573,4292],{"className":4293,"style":921},[767],[573,4295,4297,4300,4303,4306,4309],{"className":4296},[615],[573,4298],{"className":4299,"style":2425},[619],[573,4301,2828],{"className":4302},[624],[573,4304],{"className":4305,"style":921},[767],[573,4307,2859],{"className":4308},[970],[573,4310],{"className":4311,"style":921},[767],[573,4313,4315,4318,4321,4324,4327],{"className":4314},[615],[573,4316],{"className":4317,"style":2425},[619],[573,4319,3510],{"className":4320},[624],[573,4322],{"className":4323,"style":768},[767],[573,4325,739],{"className":4326},[772],[573,4328],{"className":4329,"style":768},[767],[573,4331,4333,4336],{"className":4332},[615],[573,4334],{"className":4335,"style":2425},[619],[573,4337,4132],{"className":4338},[624]," und die korrigierte Stichprobenvarianz ",[573,4341,4343,4367],{"className":4342},[576],[573,4344,4346],{"className":4345},[580],[582,4347,4348],{"xmlns":584},[586,4349,4350,4364],{},[589,4351,4352,4359,4361],{},[4353,4354,4355,4357],"mfrac",{},[599,4356,4132],{},[599,4358,601],{},[681,4360,739],{},[599,4362,4363],{},"9",[603,4365,4366],{"encoding":605},"\\frac{18}{2} = 9",[573,4368,4370,4462],{"className":4369,"ariaHidden":611},[610],[573,4371,4373,4377,4453,4456,4459],{"className":4372},[615],[573,4374],{"className":4375,"style":4376},[619],"height:1.1901em;vertical-align:-0.345em;",[573,4378,4380,4384,4450],{"className":4379},[624],[573,4381],{"className":4382},[710,4383],"nulldelimiter",[573,4385,4387],{"className":4386},[4353],[573,4388,4390,4441],{"className":4389},[637,1778],[573,4391,4393,4438],{"className":4392},[641],[573,4394,4397,4412,4423],{"className":4395,"style":4396},[645],"height:0.8451em;",[573,4398,4400,4403],{"style":4399},"top:-2.655em;",[573,4401],{"className":4402,"style":1918},[652],[573,4404,4406],{"className":4405},[657,658,659,660],[573,4407,4409],{"className":4408},[624,660],[573,4410,601],{"className":4411},[624,660],[573,4413,4415,4418],{"style":4414},"top:-3.23em;",[573,4416],{"className":4417,"style":1918},[652],[573,4419],{"className":4420,"style":4422},[4421],"frac-line","border-bottom-width:0.04em;",[573,4424,4426,4429],{"style":4425},"top:-3.394em;",[573,4427],{"className":4428,"style":1918},[652],[573,4430,4432],{"className":4431},[657,658,659,660],[573,4433,4435],{"className":4434},[624,660],[573,4436,4132],{"className":4437},[624,660],[573,4439,1826],{"className":4440},[1825],[573,4442,4444],{"className":4443},[641],[573,4445,4448],{"className":4446,"style":4447},[645],"height:0.345em;",[573,4449],{},[573,4451],{"className":4452},[717,4383],[573,4454],{"className":4455,"style":768},[767],[573,4457,739],{"className":4458},[772],[573,4460],{"className":4461,"style":768},[767],[573,4463,4465,4468],{"className":4464},[615],[573,4466],{"className":4467,"style":2425},[619],[573,4469,4363],{"className":4470},[624],[560,4472,4474],{"id":4473},"typische-fehler","Typische Fehler",[1254,4476,4477,4873,5065],{},[1257,4478,4479,3880,4553,4643,4644,4749,4750,2175],{},[573,4480,4482,4506],{"className":4481},[576],[573,4483,4485],{"className":4484},[580],[582,4486,4487],{"xmlns":584},[586,4488,4489,4503],{},[589,4490,4491,4493,4495,4501],{},[595,4492,679],{},[681,4494,684],{"stretchy":683},[592,4496,4497,4499],{},[595,4498,597],{},[599,4500,601],{},[681,4502,689],{"stretchy":683},[603,4504,4505],{"encoding":605},"E(X^2)",[573,4507,4509],{"className":4508,"ariaHidden":611},[610],[573,4510,4512,4515,4518,4521,4550],{"className":4511},[615],[573,4513],{"className":4514,"style":1897},[619],[573,4516,679],{"className":4517,"style":706},[624,628],[573,4519,684],{"className":4520},[710],[573,4522,4524,4527],{"className":4523},[624],[573,4525,597],{"className":4526,"style":629},[624,628],[573,4528,4530],{"className":4529},[633],[573,4531,4533],{"className":4532},[637],[573,4534,4536],{"className":4535},[641],[573,4537,4539],{"className":4538,"style":620},[645],[573,4540,4541,4544],{"style":648},[573,4542],{"className":4543,"style":653},[652],[573,4545,4547],{"className":4546},[657,658,659,660],[573,4548,601],{"className":4549},[624,660],[573,4551,689],{"className":4552},[717],[573,4554,4556,4584],{"className":4555},[576],[573,4557,4559],{"className":4558},[580],[582,4560,4561],{"xmlns":584},[586,4562,4563,4581],{},[589,4564,4565,4567,4569,4571,4573,4575],{},[681,4566,684],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[595,4568,679],{},[681,4570,684],{"stretchy":683},[595,4572,597],{},[681,4574,689],{"stretchy":683},[592,4576,4577,4579],{},[681,4578,689],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[599,4580,601],{},[603,4582,4583],{"encoding":605},"\\big(E(X)\\big)^2",[573,4585,4587],{"className":4586,"ariaHidden":611},[610],[573,4588,4590,4593,4599,4602,4605,4608,4611],{"className":4589},[615],[573,4591],{"className":4592,"style":1483},[619],[573,4594,4596],{"className":4595},[624],[573,4597,684],{"className":4598},[956,957],[573,4600,679],{"className":4601,"style":706},[624,628],[573,4603,684],{"className":4604},[710],[573,4606,597],{"className":4607,"style":629},[624,628],[573,4609,689],{"className":4610},[717],[573,4612,4614,4620],{"className":4613},[624],[573,4615,4617],{"className":4616},[624],[573,4618,689],{"className":4619},[956,957],[573,4621,4623],{"className":4622},[633],[573,4624,4626],{"className":4625},[637],[573,4627,4629],{"className":4628},[641],[573,4630,4632],{"className":4631,"style":1508},[645],[573,4633,4634,4637],{"style":1511},[573,4635],{"className":4636,"style":653},[652],[573,4638,4640],{"className":4639},[657,658,659,660],[573,4641,601],{"className":4642},[624,660]," verwechseln. Im Beispiel ist ",[573,4645,4647,4675],{"className":4646},[576],[573,4648,4650],{"className":4649},[580],[582,4651,4652],{"xmlns":584},[586,4653,4654,4672],{},[589,4655,4656,4658,4660,4666,4668,4670],{},[595,4657,679],{},[681,4659,684],{"stretchy":683},[592,4661,4662,4664],{},[595,4663,597],{},[599,4665,601],{},[681,4667,689],{"stretchy":683},[681,4669,739],{},[599,4671,3125],{},[603,4673,4674],{"encoding":605},"E(X^2) = 1{,}7",[573,4676,4678,4731],{"className":4677,"ariaHidden":611},[610],[573,4679,4681,4684,4687,4690,4719,4722,4725,4728],{"className":4680},[615],[573,4682],{"className":4683,"style":1897},[619],[573,4685,679],{"className":4686,"style":706},[624,628],[573,4688,684],{"className":4689},[710],[573,4691,4693,4696],{"className":4692},[624],[573,4694,597],{"className":4695,"style":629},[624,628],[573,4697,4699],{"className":4698},[633],[573,4700,4702],{"className":4701},[637],[573,4703,4705],{"className":4704},[641],[573,4706,4708],{"className":4707,"style":620},[645],[573,4709,4710,4713],{"style":648},[573,4711],{"className":4712,"style":653},[652],[573,4714,4716],{"className":4715},[657,658,659,660],[573,4717,601],{"className":4718},[624,660],[573,4720,689],{"className":4721},[717],[573,4723],{"className":4724,"style":768},[767],[573,4726,739],{"className":4727},[772],[573,4729],{"className":4730,"style":768},[767],[573,4732,4734,4737,4740,4746],{"className":4733},[615],[573,4735],{"className":4736,"style":2736},[619],[573,4738,1681],{"className":4739},[624],[573,4741,4743],{"className":4742},[624],[573,4744,2206],{"className":4745},[2275],[573,4747,3338],{"className":4748},[624],", aber ",[573,4751,4753,4786],{"className":4752},[576],[573,4754,4756],{"className":4755},[580],[582,4757,4758],{"xmlns":584},[586,4759,4760,4783],{},[589,4761,4762,4764,4766,4768,4770,4772,4778,4780],{},[681,4763,684],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[595,4765,679],{},[681,4767,684],{"stretchy":683},[595,4769,597],{},[681,4771,689],{"stretchy":683},[592,4773,4774,4776],{},[681,4775,689],{"fence":683,"stretchy":611,"minsize":827,"maxsize":827},[599,4777,601],{},[681,4779,739],{},[599,4781,4782],{},"1,21",[603,4784,4785],{"encoding":605},"\\big(E(X)\\big)^2 = 1{,}21",[573,4787,4789,4854],{"className":4788,"ariaHidden":611},[610],[573,4790,4792,4795,4801,4804,4807,4810,4813,4845,4848,4851],{"className":4791},[615],[573,4793],{"className":4794,"style":1483},[619],[573,4796,4798],{"className":4797},[624],[573,4799,684],{"className":4800},[956,957],[573,4802,679],{"className":4803,"style":706},[624,628],[573,4805,684],{"className":4806},[710],[573,4808,597],{"className":4809,"style":629},[624,628],[573,4811,689],{"className":4812},[717],[573,4814,4816,4822],{"className":4815},[624],[573,4817,4819],{"className":4818},[624],[573,4820,689],{"className":4821},[956,957],[573,4823,4825],{"className":4824},[633],[573,4826,4828],{"className":4827},[637],[573,4829,4831],{"className":4830},[641],[573,4832,4834],{"className":4833,"style":1508},[645],[573,4835,4836,4839],{"style":1511},[573,4837],{"className":4838,"style":653},[652],[573,4840,4842],{"className":4841},[657,658,659,660],[573,4843,601],{"className":4844},[624,660],[573,4846],{"className":4847,"style":768},[767],[573,4849,739],{"className":4850},[772],[573,4852],{"className":4853,"style":768},[767],[573,4855,4857,4860,4863,4869],{"className":4856},[615],[573,4858],{"className":4859,"style":2736},[619],[573,4861,1681],{"className":4862},[624],[573,4864,4866],{"className":4865},[624],[573,4867,2206],{"className":4868},[2275],[573,4870,4872],{"className":4871},[624],"21",[1257,4874,4875,4876,4972,4973,5064],{},"Beim empirischen Verschiebungssatz ",[573,4877,4879,4903],{"className":4878},[576],[573,4880,4882],{"className":4881},[580],[582,4883,4884],{"xmlns":584},[586,4885,4886,4900],{},[589,4887,4888,4890],{},[595,4889,1684],{},[592,4891,4892,4898],{},[1698,4893,4894,4896],{"accent":611},[595,4895,1692],{},[681,4897,1704],{},[599,4899,601],{},[603,4901,4902],{"encoding":605},"n\\bar{x}^2",[573,4904,4906],{"className":4905,"ariaHidden":611},[610],[573,4907,4909,4912,4915],{"className":4908},[615],[573,4910],{"className":4911,"style":620},[619],[573,4913,1684],{"className":4914},[624,628],[573,4916,4918,4949],{"className":4917},[624],[573,4919,4921],{"className":4920},[624,1901],[573,4922,4924],{"className":4923},[637],[573,4925,4927],{"className":4926},[641],[573,4928,4930,4938],{"className":4929,"style":1911},[645],[573,4931,4932,4935],{"style":1914},[573,4933],{"className":4934,"style":1918},[652],[573,4936,1692],{"className":4937},[624,628],[573,4939,4940,4943],{"style":1914},[573,4941],{"className":4942,"style":1918},[652],[573,4944,4946],{"className":4945,"style":1931},[1930],[573,4947,1704],{"className":4948},[624],[573,4950,4952],{"className":4951},[633],[573,4953,4955],{"className":4954},[637],[573,4956,4958],{"className":4957},[641],[573,4959,4961],{"className":4960,"style":620},[645],[573,4962,4963,4966],{"style":648},[573,4964],{"className":4965,"style":653},[652],[573,4967,4969],{"className":4968},[657,658,659,660],[573,4970,601],{"className":4971},[624,660]," durch ",[573,4974,4976,4998],{"className":4975},[576],[573,4977,4979],{"className":4978},[580],[582,4980,4981],{"xmlns":584},[586,4982,4983,4995],{},[589,4984,4985],{},[592,4986,4987,4993],{},[1698,4988,4989,4991],{"accent":611},[595,4990,1692],{},[681,4992,1704],{},[599,4994,601],{},[603,4996,4997],{"encoding":605},"\\bar{x}^2",[573,4999,5001],{"className":5000,"ariaHidden":611},[610],[573,5002,5004,5007],{"className":5003},[615],[573,5005],{"className":5006,"style":620},[619],[573,5008,5010,5041],{"className":5009},[624],[573,5011,5013],{"className":5012},[624,1901],[573,5014,5016],{"className":5015},[637],[573,5017,5019],{"className":5018},[641],[573,5020,5022,5030],{"className":5021,"style":1911},[645],[573,5023,5024,5027],{"style":1914},[573,5025],{"className":5026,"style":1918},[652],[573,5028,1692],{"className":5029},[624,628],[573,5031,5032,5035],{"style":1914},[573,5033],{"className":5034,"style":1918},[652],[573,5036,5038],{"className":5037,"style":1931},[1930],[573,5039,1704],{"className":5040},[624],[573,5042,5044],{"className":5043},[633],[573,5045,5047],{"className":5046},[637],[573,5048,5050],{"className":5049},[641],[573,5051,5053],{"className":5052,"style":620},[645],[573,5054,5055,5058],{"style":648},[573,5056],{"className":5057,"style":653},[652],[573,5059,5061],{"className":5060},[657,658,659,660],[573,5062,601],{"className":5063},[624,660]," ersetzen.",[1257,5066,5067,5068,5096,5097,5100],{},"Mit stark gerundeten Zwischenwerten rechnen. Liegen die Werte weit von ",[573,5069,5071,5084],{"className":5070},[576],[573,5072,5074],{"className":5073},[580],[582,5075,5076],{"xmlns":584},[586,5077,5078,5082],{},[589,5079,5080],{},[599,5081,2385],{},[603,5083,2385],{"encoding":605},[573,5085,5087],{"className":5086,"ariaHidden":611},[610],[573,5088,5090,5093],{"className":5089},[615],[573,5091],{"className":5092,"style":2425},[619],[573,5094,2385],{"className":5095},[624]," entfernt, ziehen sich zwei große, fast gleiche Zahlen voneinander ab (",[569,5098,5099],{},"Auslöschung","). Dann besser mit der Definition rechnen.",{"title":5102,"searchDepth":5103,"depth":5103,"links":5104},"",2,[5105,5106,5107],{"id":562,"depth":5103,"text":563},{"id":2589,"depth":5103,"text":2590},{"id":4473,"depth":5103,"text":4474},[5109,5114,5117,5120,5123,5126,5129,5131,5133,5135],{"lhs":5110,"rhs":5111,"where":5112},"(a - (a*p + b*(1-p)))^2 * p + (b - (a*p + b*(1-p)))^2 * (1-p)","a^2*p + b^2*(1-p) - (a*p + b*(1-p))^2",{"p":5113},0.3,{"lhs":5115,"rhs":5116},"((a - c)^2 + (b - c)^2) \u002F 2","((a - (a+b)\u002F2)^2 + (b - (a+b)\u002F2)^2) \u002F 2 + ((a+b)\u002F2 - c)^2",{"lhs":5118,"rhs":5119},"(x1 - (x1+x2+x3)\u002F3)^2 + (x2 - (x1+x2+x3)\u002F3)^2 + (x3 - (x1+x2+x3)\u002F3)^2","x1^2 + x2^2 + x3^2 - 3*((x1+x2+x3)\u002F3)^2",{"lhs":5121,"rhs":5122},"0*0.2 + 1*0.5 + 2*0.3","1.1",{"lhs":5124,"rhs":5125},"0^2*0.2 + 1^2*0.5 + 2^2*0.3","1.7",{"lhs":5127,"rhs":5128},"1.7 - 1.1^2","0.49",{"lhs":5130,"rhs":5128},"(0 - 1.1)^2*0.2 + (1 - 1.1)^2*0.5 + (2 - 1.1)^2*0.3",{"lhs":5132,"rhs":3990},"4^2 + 7^2 + 10^2",{"lhs":5134,"rhs":4132},"165 - 3 * 7^2",{"lhs":5136,"rhs":4363},"18 \u002F 2","E(X^2) \u003C \\infty","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>X\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo><\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X^2) < \\infty\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0641em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\"><\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∞\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","variance-shift-formula","V(X) = E(X^2) - \\big(E(X)\\big)^2","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>V\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>X\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>−\u003C\u002Fmo>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmsup>\u003Cmo fence=\"false\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">V(X) = E(X^2) - \\big(E(X)\\big)^2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1141em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.404em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"delimsizing size1\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"delimsizing size1\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.054em;\">\u003Cspan style=\"top:-3.3029em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fverschiebungssatz",[],[5150,5151,5152,5153],"variance-random-variable","expected-value","empirical-variance","covariance",{"title":548,"description":5102},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fverschiebungssatz","Die Varianz ist der Erwartungswert des Quadrats minus das Quadrat des Erwartungswerts.",[5158,5159,5160,5161,5162],"varianz","erwartungswert","steinerscher satz","rechenregeln","zufallsgröße",[5164,5168,5171],{"symbol":5165,"meaning":5166,"symbolHtml":5167},"V(X)","Varianz der Zufallsgröße X, auch Var(X) geschrieben","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>V\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>X\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">V(X)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4505,"meaning":5169,"symbolHtml":5170},"Erwartungswert des Quadrats von X (zweites Moment)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>X\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E(X^2)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0641em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":692,"meaning":5172,"symbolHtml":5173},"Erwartungswert von X","\u003Cspan 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