In: Statistics and Probability
a) Produce a histogram of the distribution of these prices. Comment on what this histogram reveals about the distribution. [Be sure to relate your comments to the context, and refer to the shape, center, variability, and outliers (if any).]
price
413 413 455 455 459 465 495 495 499 499 500 500 504 510 515 520 529 529 529 530 535 570 570 579 585 589 599 600 650 660 665 665 695 698 699 699 699 700 795 799 799 800 800 813 814 819 819 819 829 848 849 850 855 855 879 880 884 895 899 899 899 900 907 909 932 950 950 975 976 976 979 987 990 998 998 998 999 999 999 999 1000 1000 1000 1000 1000 1009 1019 1020 1020 1044 1045 1048 1049 1078 1080 1080 1080 1099 1099 1099 1100 1100 1139 1150 1167 1169 1169 1170 1175 1191 1198 1199 1200 1200 1200 1200 1200 1200 1200 1207 1220 1222 1250 1250 1253 1253 1253 1277 1282 1282 1285 1295 1295 1299 1325 1325 1345 1347 1360 1395 1395 1399 1399 1400 1449 1449 1450 1450 1450 1450 1450 1450 1465 1482 1485 1498 1499 1499 1499 1500 1500 1500 1500 1500 1515 1537 1539 1547 1547 1547 1550 1550 1550 1550 1551 1556 1563 1565 1568 1590 1595 1595 1599 1599 1599 1600 1600 1618 1622 1650 1650 1650 1672 1695 1698 1698 1699 1736 1754 1759 1760 1767 1780 1807 1870 1895 1979 1995
The given data is:
Prices |
413 |
413 |
455 |
455 |
459 |
465 |
495 |
495 |
499 |
499 |
500 |
500 |
504 |
510 |
515 |
520 |
529 |
529 |
529 |
530 |
535 |
570 |
570 |
579 |
585 |
589 |
599 |
600 |
650 |
660 |
665 |
665 |
695 |
698 |
699 |
699 |
699 |
700 |
795 |
799 |
799 |
800 |
800 |
813 |
814 |
819 |
819 |
819 |
829 |
848 |
849 |
850 |
855 |
855 |
879 |
880 |
884 |
895 |
899 |
899 |
899 |
900 |
907 |
909 |
932 |
950 |
950 |
975 |
976 |
976 |
979 |
987 |
990 |
998 |
998 |
998 |
999 |
999 |
999 |
999 |
1000 |
1000 |
1000 |
1000 |
1000 |
1009 |
1019 |
1020 |
1020 |
1044 |
1045 |
1048 |
1049 |
1078 |
1080 |
1080 |
1080 |
1099 |
1099 |
1099 |
1100 |
1100 |
1139 |
1150 |
1167 |
1169 |
1169 |
1170 |
1175 |
1191 |
1198 |
1199 |
1200 |
1200 |
1200 |
1200 |
1200 |
1200 |
1200 |
1207 |
1220 |
1222 |
1250 |
1250 |
1253 |
1253 |
1253 |
1277 |
1282 |
1282 |
1285 |
1295 |
1295 |
1299 |
1325 |
1325 |
1345 |
1347 |
1360 |
1395 |
1395 |
1399 |
1399 |
1400 |
1449 |
1449 |
1450 |
1450 |
1450 |
1450 |
1450 |
1450 |
1465 |
1482 |
1485 |
1498 |
1499 |
1499 |
1499 |
1500 |
1500 |
1500 |
1500 |
1500 |
1515 |
1537 |
1539 |
1547 |
1547 |
1547 |
1550 |
1550 |
1550 |
1550 |
1551 |
1556 |
1563 |
1565 |
1568 |
1590 |
1595 |
1595 |
1599 |
1599 |
1599 |
1600 |
1600 |
1618 |
1622 |
1650 |
1650 |
1650 |
1672 |
1695 |
1698 |
1698 |
1699 |
1736 |
1754 |
1759 |
1760 |
1767 |
1780 |
1807 |
1870 |
1895 |
1979 |
1995 |
The histogram is a diagram that is built by obtaining a frequency distribution by calculating the number of values in certain bins.
Doing so, we get:
As can be seen, the distribution of prices is not even. It is very much skewed towards the left and peaks around 1000-1500.