Finding the Mode of a Set

GeoGebra Commands & Parameters

1. Shuffle(Sequence[10]) → randomOrder2, {1, 7, 9, 5, 4, 2, 3, 10, 6, 8}
2. Shuffle(Sequence[10]) → randomOrder3, {10, 6, 9, 7, 1, 8, 4, 3, 5, 2}
3. Shuffle(Sequence[10]) → randomOrder4, {1, 4, 5, 10, 2, 3, 8, 7, 9, 6}
4. Shuffle(Sequence[20]) → randomList1, {17, 8, 15, 18, 1, 13, 3, 14, 9, 5, 2, 20, 19, 10, 4, 11, 6, 7, 16, 12}
5. Shuffle(Sequence[0, 1500]) → randomBase, {167, 1251, 334, 1052, 731, 1488, 1177, 673, 729, 1499, 450, 841, 899, 376, 1236, 1335, 661, 1022, 35, 1181, 612, 986, 883, 386, 1005, 140, 950, 1091, 312, 1346, 1329, 710, 1032, 218, 1291, 837, 1188, 1343, 1409, 589, 928, 9, 714, 439, 644, 479, 991, 1385, 989, 371, 1140, 65, 1163, 58, 1383, 1384, 1439, 230, 515, 670, 1465, 967, 1457, 624, 1395, 1280, 527, 487, 1083, 813, 747, 1160, 321, 663, 1168, 1270, 27, 161, 1423, 1161, 1184, 346, 693, 1295, 1158, 1371, 45, 1334, 1392, 1061, 316, 279, 1029, 231, 939, 163, 99, 2, 1259, 1399, 1320, 892, 794, 135, 1128, 1138, 310, 299, 413, 1211, 862, 857, 347, 1368, 803, 1157, 1146, 627, 421, 423, 389, 826, 885, 846, 871, 1112, 1491, 1020, 569, 47, 668, 1421, 578, 1437, 137, 718, 1004, 1455, 17, 409, 122, 921, 1282, 916, 800, 1096, 683, 383, 464, 599, 1412, 158, 507, 1042, 474, 1300, 252, 182, 934, 191, 1124, 198, 1153, 5, 838, 721, 482, 104, 256, 1150, 666, 244, 353, 422, 1354, 728, 866, 417, 1288, 1134, 681, 1147, 1339, 306, 1058, 225, 145, 1286, 1267, 763, 945, 1481, 551, 1226, 845, 664, 1248, 53, 1287, 711, 436, 1483, 1261, 884, 1049, 1324, 532, 680, 1338, 660, 1305, 15, 453, 151, 988, 699, 1121, 1424, 250, 1373, 1142, 197, 1407, 598, 1170, 1131, 1103, 400, 1367, 964, 633, 1044, 384, 270, 1247, 992, 155, 1381, 473, 176, 510, 1436, 1072, 777, 1167, 799, 979, 373, 998, 593, 313, 520, 1413, 1235, 1253, 558, 222, 1313, 830, 344, 303, 139, 1099, 215, 75, 833, 1400, 1232, 614, 867, 756, 337, 28, 1493, 858, 637, 1039, 1341, 984, 116, 981, 971, 734, 55, 840, 56, 1274, 356, 1122, 948, 166, 468, 748, 811, 870, 1404, 285, 204, 381, 98, 1487, 496, 1088, 1322, 498, 333, 925, 701, 78, 1473, 860, 854, 563, 621, 412, 318, 1038, 1377, 1092, 622, 1156, 1040, 11, 516, 1311, 937, 338, 737, 1326, 112, 905, 613, 1117, 987, 787, 1303, 688, 1479, 602, 449, 769, 388, 630, 1023, 929, 22, 678, 954, 44, 1244, 1215, 706, 399, 1014, 546, 1422, 1266, 919, 29, 568, 424, 576, 1094, 1017, 1063, 293, 237, 455, 1442, 1068, 651, 51, 491, 1062, 891, 130, 467, 897, 743, 1364, 67, 1489, 788, 462, 704, 426, 103, 957, 1233, 1445, 368, 502, 160, 1252, 1246, 577, 1000, 1458, 1071, 766, 879, 1064, 52, 1485, 360, 1378, 531, 1332, 976, 1186, 810, 61, 523, 534, 425, 1048, 443, 923, 175, 513, 1135, 1452, 499, 855, 625, 23, 538, 59, 322, 1427, 935, 254, 880, 81, 528, 1185, 1319, 655, 835, 872, 942, 444, 1317, 493, 503, 1352, 665, 85, 138, 1194, 672, 1438, 108, 1279, 181, 618, 1174, 1192, 90, 758, 1450, 1340, 459, 960, 1419, 1183, 1258, 886, 348, 689, 1055, 364, 974, 114, 735, 761, 1446, 1386, 1047, 547, 931, 1051, 1328, 397, 1191, 1466, 744, 76, 697, 1470, 273, 1366, 1496, 540, 168, 1003, 87, 700, 1086, 1011, 767, 888, 177, 1444, 822, 686, 143, 24, 1301, 1210, 869, 849, 636, 269, 430, 311, 74, 367, 555, 874, 245, 229, 212, 628, 944, 101, 675, 326, 965, 1204, 1379, 265, 226, 107, 687, 730, 1182, 1278, 238, 864, 1220, 1418, 495, 1469, 355, 429, 187, 253, 943, 25, 1007, 715, 1009, 1315, 203, 909, 632, 472, 552, 894, 1380, 852, 89, 216, 119, 1494, 814, 420, 1224, 481, 604, 292, 278, 1269, 1330, 1482, 1141, 1355, 93, 994, 64, 1304, 1152, 1453, 141, 92, 418, 1260, 529, 1463, 126, 1293, 1297, 1460, 1306, 1223, 454, 124, 391, 911, 1357, 1100, 650, 129, 1358, 962, 339, 288, 1080, 802, 57, 478, 759, 113, 202, 1420, 84, 828, 1314, 83, 448, 537, 1447, 654, 13, 1342, 1205, 343, 1093, 639, 1216, 77, 4, 19, 918, 153, 779, 1109, 1443, 859, 195, 751, 631, 1449, 832, 1299, 192, 105, 549, 324, 1361, 995, 1213, 956, 1137, 30, 268, 1187, 1200, 1289, 240, 1060, 442, 169, 1429, 825, 359, 475, 876, 1066, 148, 110, 1027, 188, 784, 97, 895, 590, 282, 1464, 1206, 1193, 1212, 1356, 174, 579, 71, 890, 1082, 819, 623, 1221, 771, 690, 518, 340, 1486, 336, 1365, 1397, 374, 762, 131, 258, 1120, 521, 405, 539, 1228, 781, 296, 1451, 331, 865, 821, 266, 289, 460, 1115, 72, 1405, 1107, 284, 34, 898, 1090, 329, 1500, 554, 159, 394, 419, 118, 1350, 283, 186, 276, 1030, 233, 1245, 649, 323, 147, 1098, 1162, 1349, 1333, 1208, 716, 525, 504, 755, 815, 42, 223, 1106, 961, 1441, 1472, 753, 567, 1376, 1132, 342, 300, 180, 12, 79, 878, 320, 705, 1257, 68, 1292, 1021, 742, 975, 80, 1262, 219, 685, 0, 1089, 712, 1155, 1310, 1076, 741, 770, 111, 63, 248, 726, 893, 10, 1097, 1012, 1084, 437, 782, 48, 1202, 1275, 738, 466, 408, 1394, 398, 1149, 611, 836, 760, 980, 1207, 31, 1179, 544, 912, 1353, 1433, 1406, 1165, 1284, 641, 1272, 1393, 1389, 1196, 217, 40, 1459, 485, 789, 1431, 1325, 533, 1321, 522, 183, 565, 1370, 1456, 463, 21, 1382, 404, 1234, 201, 1432, 740, 582, 416, 109, 605, 95, 488, 1480, 914, 926, 671, 679, 255, 775, 509, 511, 572, 213, 484, 951, 875, 817, 658, 66, 1123, 1024, 1471, 1229, 1056, 903, 659, 1237, 441, 514, 959, 349, 719, 617, 783, 958, 910, 332, 224, 236, 69, 754, 1440, 1435, 363, 396, 1201, 1462, 691, 851, 489, 1198, 1478, 480, 171, 764, 1218, 736, 264, 1075, 1268, 271, 205, 144, 96, 1036, 530, 314, 812, 1359, 446, 616, 257, 556, 757, 1241, 591, 983, 352, 750, 239, 709, 606, 850, 1390, 643, 853, 816, 1, 1434, 1490, 1475, 370, 901, 733, 1126, 1331, 267, 695, 1290, 839, 780, 414, 82, 1166, 647, 26, 134, 149, 132, 653, 189, 725, 1417, 432, 369, 827, 117, 982, 407, 335, 574, 669, 1273, 1104, 164, 1190, 900, 505, 904, 456, 947, 486, 146, 581, 20, 703, 610, 281, 526, 915, 707, 1402, 1312, 566, 1105, 696, 1034, 102, 274, 447, 262, 251, 62, 820, 562, 805, 452, 1069, 1033, 1265, 972, 406, 7, 354, 1008, 350, 1119, 823, 1067, 1018, 483, 861, 702, 1159, 1197, 125, 774, 801, 642, 1046, 477, 232, 1006, 592, 387, 807, 1388, 315, 120, 519, 261, 674, 382, 966, 469, 37, 1087, 461, 765, 361, 652, 1054, 115, 214, 953, 247, 305, 16, 1345, 603, 451, 227, 573, 1169, 287, 106, 1318, 249, 1019, 1231, 584, 435, 500, 1214, 596, 587, 294, 786, 506, 1374, 1171, 1050, 543, 917, 1222, 848, 377, 1372, 1078, 1242, 1484, 1308, 831, 906, 776, 357, 220, 749, 1425, 1309, 1118, 210, 1189, 1410, 375, 73, 184, 580, 263, 896, 1209, 325, 635, 868, 295, 1415, 142, 234, 431, 952, 908, 913, 1238, 843, 438, 1026, 842, 922, 1045, 717, 902, 1113, 39, 1454, 127, 86, 930, 722, 1101, 1307, 1095, 791, 1277, 773, 795, 797, 410, 1255, 1114, 327, 933, 938, 1387, 304, 609, 1151, 1363, 330, 708, 179, 517, 585, 365, 36, 1271, 1497, 1164, 571, 996, 1240, 600, 319, 698, 692, 667, 8, 1411, 501, 457, 536, 1129, 790, 720, 619, 662, 351, 1077, 88, 121, 561, 290, 470, 1285, 1243, 154, 677, 588, 1002, 1116, 1391, 907, 818, 1176, 1010, 808, 358, 586, 694, 1144, 1302, 548, 362, 1130, 1143, 302, 724, 634, 1323, 190, 778, 829, 162, 772, 856, 1015, 607, 1059, 997, 1219, 601, 133, 50, 6, 541, 200, 1108, 445, 403, 1351, 739, 415, 1074, 434, 156, 241, 793, 275, 14, 1199, 307, 1448, 1281, 1239, 1041, 824, 1053, 280, 1195, 172, 1025, 123, 260, 1362, 100, 1133, 401, 559, 844, 608, 70, 863, 1079, 49, 1070, 380, 595, 560, 242, 32, 221, 927, 969, 768, 494, 732, 1276, 206, 208, 985, 18, 1127, 1408, 1031, 1428, 379, 152, 1498, 881, 1250, 798, 1264, 620, 575, 806, 246, 1414, 626, 392, 550, 545, 128, 629, 946, 978, 1477, 60, 173, 963, 993, 1347, 1495, 1426, 196, 411, 1467, 1348, 1474, 1369, 648, 298, 1172, 570, 746, 792, 594, 1225, 33, 1283, 309, 1396, 553, 941, 209, 492, 512, 1203, 91, 940, 366, 1337, 136, 433, 385, 471, 524, 684, 615, 920, 490, 949, 1401, 657, 973, 465, 1180, 1110, 194, 297, 150, 1249, 785, 43, 1476, 3, 713, 645, 390, 211, 428, 1263, 1398, 301, 277, 847, 1227, 752, 286, 1043, 259, 272, 535, 936, 427, 1102, 1298, 646, 1136, 1492, 809, 291, 1375, 1035, 228, 977, 458, 656, 1230, 243, 1360, 372, 317, 46, 328, 395, 235, 1001, 796, 1316, 178, 955, 341, 834, 1085, 1154, 193, 1139, 1468, 476, 1403, 497, 157, 1327, 1178, 999, 1296, 1125, 877, 1037, 508, 1016, 38, 723, 393, 1416, 990, 583, 638, 1148, 1254, 1065, 1217, 185, 199, 968, 54, 970, 873, 1256, 1175, 165, 440, 557, 882, 94, 207, 932, 745, 804, 1073, 727, 682, 345, 1461, 924, 402, 1111, 1344, 1145, 542, 1294, 676, 640, 170, 887, 1336, 1028, 1430, 308, 378, 1057, 1081, 1013, 564, 889, 41, 1173, 597}
6. Shuffle(Sequence[5, 20]) → randomDifferentNums, {11, 14, 9, 17, 16, 19, 18, 8, 5, 20, 10, 15, 7, 13, 12, 6}
7. Shuffle({2, 3, 2, 3, 2, 3, 2, 3, 2, 3}) → randomMultipliers, {2, 2, 3, 2, 3, 3, 2, 3, 2, 3}
8. Shuffle(Sequence[10]) → randomOrder1, {6, 7, 3, 5, 10, 1, 9, 8, 2, 4}
9. Shuffle(Sequence[15]) → randomList2, {15, 2, 7, 3, 1, 5, 9, 13, 8, 4, 10, 11, 6, 14, 12}
10. Shuffle({randomOrder1, randomOrder2, randomOrder3, randomOrder4}) → randomOrdering, {{10, 6, 9, 7, 1, 8, 4, 3, 5, 2}, {1, 7, 9, 5, 4, 2, 3, 10, 6, 8}, {1, 4, 5, 10, 2, 3, 8, 7, 9, 6}, {6, 7, 3, 5, 10, 1, 9, 8, 2, 4}}
11. Zip((("$\text{" * A) * " }$"), A, {"\phantom{No Mode}", "No Mode", "One Mode", "Two Modes"}) → selectNumModes
12. Element({NaN, 0, 1, 2}, SelectedIndex[selectNumModes]) → numModesSelected
13. Shuffle(Sequence[500, 1000]) → randomLow, {762, 670, 642, 647, 892, 662, 669, 559, 551, 534, 810, 937, 532, 920, 539, 997, 668, 619, 695, 613, 531, 814, 913, 885, 889, 585, 777, 871, 713, 887, 787, 583, 577, 864, 796, 868, 828, 822, 681, 655, 601, 608, 791, 709, 555, 603, 963, 508, 614, 751, 856, 786, 643, 561, 715, 714, 535, 519, 880, 990, 506, 860, 728, 693, 910, 872, 773, 834, 704, 706, 980, 867, 623, 809, 781, 749, 599, 679, 955, 621, 563, 971, 527, 957, 607, 689, 768, 859, 888, 622, 734, 789, 962, 654, 899, 918, 584, 592, 925, 635, 636, 746, 641, 738, 588, 771, 926, 770, 739, 973, 831, 875, 521, 701, 625, 804, 574, 731, 686, 958, 756, 819, 528, 846, 667, 853, 617, 940, 618, 544, 966, 943, 907, 991, 640, 989, 690, 540, 505, 500, 606, 685, 807, 711, 659, 572, 512, 587, 903, 576, 764, 579, 993, 550, 836, 516, 692, 581, 985, 802, 816, 509, 876, 953, 675, 978, 586, 992, 590, 720, 543, 611, 857, 661, 873, 795, 725, 974, 767, 975, 633, 687, 970, 988, 596, 722, 845, 639, 717, 648, 504, 522, 517, 855, 854, 510, 823, 761, 523, 769, 896, 557, 861, 637, 573, 812, 772, 965, 674, 629, 898, 921, 736, 827, 699, 507, 922, 595, 954, 778, 911, 716, 929, 936, 615, 947, 995, 805, 935, 976, 895, 646, 694, 944, 891, 676, 982, 671, 567, 866, 858, 808, 843, 677, 820, 626, 832, 969, 554, 600, 811, 724, 865, 702, 616, 998, 912, 760, 999, 721, 939, 743, 634, 628, 726, 784, 653, 610, 684, 542, 986, 553, 924, 821, 562, 983, 656, 578, 850, 897, 863, 514, 977, 546, 652, 763, 673, 852, 917, 984, 560, 800, 776, 881, 824, 790, 700, 549, 666, 525, 960, 833, 672, 919, 665, 877, 631, 904, 548, 798, 730, 658, 515, 884, 894, 817, 951, 862, 1000, 981, 526, 914, 848, 906, 737, 556, 568, 793, 723, 620, 698, 638, 950, 878, 649, 594, 657, 779, 589, 602, 712, 759, 503, 874, 799, 537, 732, 839, 564, 538, 752, 956, 933, 806, 727, 847, 972, 840, 923, 624, 818, 952, 948, 941, 630, 593, 533, 547, 946, 664, 916, 987, 780, 797, 765, 908, 928, 758, 945, 678, 580, 733, 530, 826, 707, 959, 744, 783, 696, 502, 942, 782, 703, 748, 645, 569, 566, 565, 747, 792, 524, 801, 591, 844, 545, 750, 829, 513, 627, 609, 815, 612, 740, 742, 729, 663, 837, 961, 879, 697, 650, 900, 511, 886, 909, 835, 803, 994, 927, 869, 753, 705, 529, 719, 680, 597, 754, 931, 788, 934, 558, 682, 774, 967, 813, 851, 841, 571, 552, 890, 710, 893, 683, 905, 938, 979, 915, 949, 541, 651, 842, 964, 688, 932, 520, 708, 718, 741, 757, 755, 775, 902, 825, 660, 766, 870, 632, 598, 575, 785, 849, 745, 691, 883, 582, 644, 604, 996, 536, 830, 930, 501, 735, 838, 901, 605, 570, 518, 882, 968, 794}
14. Shuffle({1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2}) → randomNumRepeats, {1, 2, 2, 3, 3, 1, 1, 2, 3, 1, 2}
15. Shuffle({1, 1, 2, 2, 2, 2, 3, 3, 4, 4}) → randomCaseNum, {2, 2, 1, 2, 1, 4, 2, 3, 4, 3}
16. Sequence(Anchor + (((A * 1.5) * boxWidth), 0), A, 0, 9) → framePoints
17. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(10)) → frame10
18. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(9)) → frame9
19. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(7)) → frame7
20. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(8)) → frame8
21. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(6)) → frame6
22. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(5)) → frame5
23. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(4)) → frame4
24. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(3)) → frame3
25. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(2)) → frame2
26. centerBox((1.1 * boxWidth), (1.1 * boxHeight), framePoints(1)) → frame1
27. Element(movingPoints, movingIndex) → PMove
28. Element(randomCaseNum, Mod[countQuestion, Length[randomCaseNum]] + 1) → caseNum
29. Element({0, 1, 1, 2}, caseNum) → numModes
30. Sequence(Element[randomDifferentNums, Mod[(10 * countQuestion) + A, Length[randomDifferentNums]] + 1], A, 1, 10) → allDifferent
31. Element({{}, {allDifferent(1)}, Sort[{allDifferent(1), allDifferent(2)}]}, numModes + 1) → expectedModes
32. Element(randomNumRepeats, Mod[countQuestion, Length[randomNumRepeats]] + 1) → numRepeats
33. Element({allDifferent, Take[Join[{Sequence[allDifferent(1), i, 1, numRepeats], allDifferent}], 1, 10], Take[Join[{Sequence[allDifferent(1), i, 1, numRepeats + 1], Sequence[allDifferent(2), i, 1, numRepeats], allDifferent}], 1, 10], Take[Join[{Sequence[allDifferent(1), i, 1, numRepeats], Sequence[allDifferent(2), i, 1, numRepeats], allDifferent}], 1, 10]}, caseNum) → currentNums
34. Sort(currentNums) → orderedNumbers
35. Element({{numModesSelected}, {numModesSelected}, {numModesSelected, inprogressMode1}, {numModesSelected, inprogressMode1, inprogressMode2}}, SelectedIndex[selectNumModes]) → inputCurrent
36. If(studentMode1 ≟ expectedModes(1), numModesSelected ≟ 1) → correctCase2
37. Element(randomOrdering, Mod[countQuestion, Length[randomOrdering]] + 1) → currentOrder
38. Sequence(currentNums(currentOrder(A)), A, 1, 10) → displayOrder, {20, 19, 5, 18, 14, 8, 17, 9, 16, 14}
39. Element(randomMultipliers, Mod[countQuestion, Length[randomMultipliers]] + 1) → multiplier
40. Element({correctCase1, correctCase2, correctCase3, correctCase4}, caseNum) → correct
41. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
42. Corner(5) → layoutAppSize
43. Sequence(HomeAnchor + (((A * 1.5) * boxWidth), 0), A, 0, 9) → homePoints
44. centerBox(innerSize, innerSize, P1) → box1
45. centerBox(innerSize, innerSize, P2) → box2
46. centerBox(innerSize, innerSize, P3) → box3
47. centerBox(innerSize, innerSize, P4) → box4
48. centerBox(innerSize, innerSize, P5) → box5
49. centerBox(innerSize, innerSize, P6) → box6
50. centerBox(innerSize, innerSize, P7) → box7
51. centerBox(innerSize, innerSize, P8) → box8
52. centerBox(innerSize, innerSize, P9) → box9
53. centerBox(innerSize, innerSize, P10) → box10
54. centerBox(innerSize, innerSize, PMove) → highlightBox
55. IndexOf(true, Zip[IsInRegion[PMove, A], A, {frame1, frame2, frame3, frame4, frame5, frame6, frame7, frame8, frame9, frame10}]) → locationPMove
56. Zip(("\$" * A), A, displayOrder) → allTextStr
57. Zip(homePoints(A), A, homeIndices) → homeLocations
58. Zip(HOME, A, movingPoints) → allHome
59. Sequence((((((((("SetValue(P" * A) * ",If(currentLocations(") * A) * ")==HOME,homeLocations(") * A) * "),framePoints(currentLocations(") * A) * "))))"), A, 1, Length[movingPoints]) → cmdOrganize
60. If(Defined[movingIndex], Text[allTextStr(movingIndex), PMove, true, true, 0, 0], "") → textHighlight
61. Sequence((("SetFixed(box" * A) * ",false,enableInput)"), A, 1, Length[movingPoints]) → cmdFixBoxes
62. Zip((((("SetValue(studentAns," * If[A ≠ HOME, A, 1]) * ",") * If[A ≠ HOME, (("allTextStr(" * B) * ")"), "studentAns(1)"]) * ")"), A, currentLocations, B, Sequence[1, Length[currentLocations]]) → cmdGetStudentAnswer
63. Textfield(studentMode1) → inputMode1
64. Textfield(studentMode2) → inputMode2
65. Sequence(If[Defined[IndexOf[orderedNumbers(A), expectedModes]], (("\textbf{" * orderedNumbers(A)) * "}"), ("" * orderedNumbers(A))], A, 1, Length[orderedNumbers]) → solnNumberList
66. Zip(Text[("" * A), B, true, true, 0, 0], A, allTextStr, B, movingPoints) → boxText
67. Element({frame1, frame2, frame3, frame4, frame5, frame6, frame7, frame8, frame9, frame10}, locationPMove) → highlightFrame