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Das sind ",[602,1197,1199,1232],{"className":1198},[605],[602,1200,1202],{"className":1201},[609],[611,1203,1204],{"xmlns":613},[615,1205,1206,1229],{},[618,1207,1208,1216,1219,1222,1226],{},[1209,1210,1211,1213],"mfrac",{},[621,1212,924],{},[621,1214,1215],{},"7",[625,1217,1218],{},"≈",[621,1220,1221],{},"42,9",[1223,1224,1225],"mtext",{}," ",[1077,1227,1228],{"mathvariant":1084},"%",[655,1230,1231],{"encoding":657},"\\frac{3}{7} \\approx 42{,}9\\,\\%",[602,1233,1235,1330],{"className":1234,"ariaHidden":627},[662],[602,1236,1238,1242,1321,1324,1327],{"className":1237},[666],[602,1239],{"className":1240,"style":1241},[670],"height:1.1901em;vertical-align:-0.345em;",[602,1243,1245,1250,1317],{"className":1244},[675],[602,1246],{"className":1247},[1248,1249],"mopen","nulldelimiter",[602,1251,1253],{"className":1252},[1209],[602,1254,1256,1308],{"className":1255},[1124,1125],[602,1257,1259,1305],{"className":1258},[1129],[602,1260,1263,1279,1290],{"className":1261,"style":1262},[1133],"height:0.8451em;",[602,1264,1266,1270],{"style":1265},"top:-2.655em;",[602,1267],{"className":1268,"style":1269},[1141],"height:3em;",[602,1271,1273],{"className":1272},[1146,1147,1148,1149],[602,1274,1276],{"className":1275},[675,1149],[602,1277,1215],{"className":1278},[675,1149],[602,1280,1282,1285],{"style":1281},"top:-3.23em;",[602,1283],{"className":1284,"style":1269},[1141],[602,1286],{"className":1287,"style":1289},[1288],"frac-line","border-bottom-width:0.04em;",[602,1291,1293,1296],{"style":1292},"top:-3.394em;",[602,1294],{"className":1295,"style":1269},[1141],[602,1297,1299],{"className":1298},[1146,1147,1148,1149],[602,1300,1302],{"className":1301},[675,1149],[602,1303,924],{"className":1304},[675,1149],[602,1306,1165],{"className":1307},[1164],[602,1309,1311],{"className":1310},[1129],[602,1312,1315],{"className":1313,"style":1314},[1133],"height:0.345em;",[602,1316],{},[602,1318],{"className":1319},[1320,1249],"mclose",[602,1322],{"className":1323,"style":1178},[683],[602,1325,1218],{"className":1326},[1182],[602,1328],{"className":1329,"style":1178},[683],[602,1331,1333,1337,1341,1347,1351,1354],{"className":1332},[666],[602,1334],{"className":1335,"style":1336},[670],"height:0.9444em;vertical-align:-0.1944em;",[602,1338,1340],{"className":1339},[675],"42",[602,1342,1344],{"className":1343},[675],[602,1345,628],{"className":1346},[679],[602,1348,1350],{"className":1349},[675],"9",[602,1352],{"className":1353,"style":684},[683],[602,1355,1228],{"className":1356},[675]," der Gruppe. Der Mittelwert ist ",[602,1359,1361,1385],{"className":1360},[605],[602,1362,1364],{"className":1363},[609],[611,1365,1366],{"xmlns":613},[615,1367,1368,1382],{},[618,1369,1370,1377,1379],{},[1209,1371,1372,1375],{},[621,1373,1374],{},"274",[621,1376,1215],{},[625,1378,1218],{},[621,1380,1381],{},"39,14",[655,1383,1384],{"encoding":657},"\\frac{274}{7} \\approx 39{,}14",[602,1386,1388,1471],{"className":1387,"ariaHidden":627},[662],[602,1389,1391,1394,1462,1465,1468],{"className":1390},[666],[602,1392],{"className":1393,"style":1241},[670],[602,1395,1397,1400,1459],{"className":1396},[675],[602,1398],{"className":1399},[1248,1249],[602,1401,1403],{"className":1402},[1209],[602,1404,1406,1451],{"className":1405},[1124,1125],[602,1407,1409,1448],{"className":1408},[1129],[602,1410,1412,1426,1434],{"className":1411,"style":1262},[1133],[602,1413,1414,1417],{"style":1265},[602,1415],{"className":1416,"style":1269},[1141],[602,1418,1420],{"className":1419},[1146,1147,1148,1149],[602,1421,1423],{"className":1422},[675,1149],[602,1424,1215],{"className":1425},[675,1149],[602,1427,1428,1431],{"style":1281},[602,1429],{"className":1430,"style":1269},[1141],[602,1432],{"className":1433,"style":1289},[1288],[602,1435,1436,1439],{"style":1292},[602,1437],{"className":1438,"style":1269},[1141],[602,1440,1442],{"className":1441},[1146,1147,1148,1149],[602,1443,1445],{"className":1444},[675,1149],[602,1446,1374],{"className":1447},[675,1149],[602,1449,1165],{"className":1450},[1164],[602,1452,1454],{"className":1453},[1129],[602,1455,1457],{"className":1456,"style":1314},[1133],[602,1458],{},[602,1460],{"className":1461},[1320,1249],[602,1463],{"className":1464,"style":1178},[683],[602,1466,1218],{"className":1467},[1182],[602,1469],{"className":1470,"style":1178},[683],[602,1472,1474,1477,1480,1486],{"className":1473},[666],[602,1475],{"className":1476,"style":671},[670],[602,1478,631],{"className":1479},[675],[602,1481,1483],{"className":1482},[675],[602,1484,628],{"className":1485},[679],[602,1487,1489],{"className":1488},[675],"14",", eine Schuhgröße, die es im Laden nicht gibt. Für einen Schuhhändler ist hier der Modalwert die nützlichere Angabe.",[564,1492,1493,1494,1589,1590,1618,1619,1647,1648,1651,1652,1618,1680,1708,1709,733],{},"Bei den Noten ",[602,1495,1497,1532],{"className":1496},[605],[602,1498,1500],{"className":1499},[609],[611,1501,1502],{"xmlns":613},[615,1503,1504,1529],{},[618,1505,1506,1508,1510,1512,1514,1516,1518,1521,1523,1525,1527],{},[621,1507,893],{},[625,1509,628],{"separator":627},[621,1511,924],{},[625,1513,628],{"separator":627},[621,1515,893],{},[625,1517,628],{"separator":627},[621,1519,1520],{},"4",[625,1522,628],{"separator":627},[621,1524,924],{},[625,1526,628],{"separator":627},[621,1528,955],{},[655,1530,1531],{"encoding":657},"2, 3, 2, 4, 3, 1",[602,1533,1535],{"className":1534,"ariaHidden":627},[662],[602,1536,1538,1541,1544,1547,1550,1553,1556,1559,1562,1565,1568,1571,1574,1577,1580,1583,1586],{"className":1537},[666],[602,1539],{"className":1540,"style":671},[670],[602,1542,893],{"className":1543},[675],[602,1545,628],{"className":1546},[679],[602,1548],{"className":1549,"style":684},[683],[602,1551,924],{"className":1552},[675],[602,1554,628],{"className":1555},[679],[602,1557],{"className":1558,"style":684},[683],[602,1560,893],{"className":1561},[675],[602,1563,628],{"className":1564},[679],[602,1566],{"className":1567,"style":684},[683],[602,1569,1520],{"className":1570},[675],[602,1572,628],{"className":1573},[679],[602,1575],{"className":1576,"style":684},[683],[602,1578,924],{"className":1579},[675],[602,1581,628],{"className":1582},[679],[602,1584],{"className":1585,"style":684},[683],[602,1587,955],{"className":1588},[675]," kommen ",[602,1591,1593,1606],{"className":1592},[605],[602,1594,1596],{"className":1595},[609],[611,1597,1598],{"xmlns":613},[615,1599,1600,1604],{},[618,1601,1602],{},[621,1603,893],{},[655,1605,893],{"encoding":657},[602,1607,1609],{"className":1608,"ariaHidden":627},[662],[602,1610,1612,1615],{"className":1611},[666],[602,1613],{"className":1614,"style":774},[670],[602,1616,893],{"className":1617},[675]," und ",[602,1620,1622,1635],{"className":1621},[605],[602,1623,1625],{"className":1624},[609],[611,1626,1627],{"xmlns":613},[615,1628,1629,1633],{},[618,1630,1631],{},[621,1632,924],{},[655,1634,924],{"encoding":657},[602,1636,1638],{"className":1637,"ariaHidden":627},[662],[602,1639,1641,1644],{"className":1640},[666],[602,1642],{"className":1643,"style":774},[670],[602,1645,924],{"className":1646},[675]," je zweimal vor. Es gibt also ",[568,1649,1650],{},"zwei"," Modalwerte, ",[602,1653,1655,1668],{"className":1654},[605],[602,1656,1658],{"className":1657},[609],[611,1659,1660],{"xmlns":613},[615,1661,1662,1666],{},[618,1663,1664],{},[621,1665,893],{},[655,1667,893],{"encoding":657},[602,1669,1671],{"className":1670,"ariaHidden":627},[662],[602,1672,1674,1677],{"className":1673},[666],[602,1675],{"className":1676,"style":774},[670],[602,1678,893],{"className":1679},[675],[602,1681,1683,1696],{"className":1682},[605],[602,1684,1686],{"className":1685},[609],[611,1687,1688],{"xmlns":613},[615,1689,1690,1694],{},[618,1691,1692],{},[621,1693,924],{},[655,1695,924],{"encoding":657},[602,1697,1699],{"className":1698,"ariaHidden":627},[662],[602,1700,1702,1705],{"className":1701},[666],[602,1703],{"className":1704,"style":774},[670],[602,1706,924],{"className":1707},[675],". Der Mittelwert ist ",[602,1710,1712,1727],{"className":1711},[605],[602,1713,1715],{"className":1714},[609],[611,1716,1717],{"xmlns":613},[615,1718,1719,1724],{},[618,1720,1721],{},[621,1722,1723],{},"2,5",[655,1725,1726],{"encoding":657},"2{,}5",[602,1728,1730],{"className":1729,"ariaHidden":627},[662],[602,1731,1733,1736,1739,1745],{"className":1732},[666],[602,1734],{"className":1735,"style":671},[670],[602,1737,893],{"className":1738},[675],[602,1740,1742],{"className":1741},[675],[602,1743,628],{"className":1744},[679],[602,1746,1748],{"className":1747},[675],"5",[559,1750,1752],{"id":1751},"typische-fehler","Typische Fehler",[578,1754,1755,1815,1818],{},[581,1756,1757,1758,1786,1787,733],{},"Die Anzahl statt des Wertes angeben. Im ersten Beispiel ist der Modalwert ",[602,1759,1761,1774],{"className":1760},[605],[602,1762,1764],{"className":1763},[609],[611,1765,1766],{"xmlns":613},[615,1767,1768,1772],{},[618,1769,1770],{},[621,1771,631],{},[655,1773,631],{"encoding":657},[602,1775,1777],{"className":1776,"ariaHidden":627},[662],[602,1778,1780,1783],{"className":1779},[666],[602,1781],{"className":1782,"style":774},[670],[602,1784,631],{"className":1785},[675],", nicht ",[602,1788,1790,1803],{"className":1789},[605],[602,1791,1793],{"className":1792},[609],[611,1794,1795],{"xmlns":613},[615,1796,1797,1801],{},[618,1798,1799],{},[621,1800,924],{},[655,1802,924],{"encoding":657},[602,1804,1806],{"className":1805,"ariaHidden":627},[662],[602,1807,1809,1812],{"className":1808},[666],[602,1810],{"className":1811,"style":774},[670],[602,1813,924],{"className":1814},[675],[581,1816,1817],{},"Den größten Wert mit dem häufigsten Wert verwechseln.",[581,1819,1820],{},"Bei zwei gleich häufigen Werten nur einen nennen oder ihren Mittelwert bilden. Beide Werte sind Modalwerte.",{"title":1822,"searchDepth":1823,"depth":1823,"links":1824},"",2,[1825,1826,1827],{"id":561,"depth":1823,"text":562},{"id":596,"depth":1823,"text":597},{"id":1751,"depth":1823,"text":1752},[1829,1831,1834,1837],{"lhs":1830,"rhs":1374},"38 + 39 + 39 + 40 + 41 + 39 + 38",{"lhs":1832,"rhs":1833},"round(274 \u002F 7, 2)","39.14",{"lhs":1835,"rhs":1836},"round(3 \u002F 7 * 100, 1)","42.9",{"lhs":1838,"rhs":1839},"(2 + 3 + 2 + 4 + 3 + 1) \u002F 6","2.5",null,"md","mode","H(x_{\\mathrm{mod}}) \\geq H(x) \\text{ für alle Werte } x","\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>H\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmrow>\u003Cmi mathvariant=\"normal\">m\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">o\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">d\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>≥\u003C\u002Fmo>\u003Cmi>H\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmtext> f\u003C\u002Fmtext>\u003Cmover accent=\"true\">\u003Cmtext>u\u003C\u002Fmtext>\u003Cmo>¨\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmtext>r alle Werte \u003C\u002Fmtext>\u003C\u002Fmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">H(x_{\\mathrm{mod}}) \\geq H(x) \\text{ für alle Werte } 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:0.0813em;\">H\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathrm mtight\">mod\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0813em;\">H\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mord text\">\u003Cspan class=\"mord\"> f\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6679em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">u\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.25em;\">\u003Cspan class=\"mord\">¨\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">r alle Werte \u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","lower",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fmodalwert",[],[1851,1852,1853],"median","arithmetic-mean","relative-frequency",{"title":548,"description":1822},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fmodalwert","Der Modalwert ist der Wert, der in einer Datenreihe am häufigsten vorkommt.",[1858,1859,1860,1861,1862],"modus","häufigster wert","statistik","mittelwert","daten",[1864,1868,1872],{"symbol":1865,"meaning":1866,"symbolHtml":1867},"x_{\\mathrm{mod}}","Modalwert, der Wert, der am häufigsten vorkommt","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmrow>\u003Cmi mathvariant=\"normal\">m\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">o\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">d\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_{\\mathrm{mod}}\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:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathrm mtight\">mod\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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