State Percent Taking Critical Reading Math Writing Combined
Alabama 7% 557 552 549 1658
Alaska 46% 520 516 492 1528
Arizona 26% 516 521 497 1534
Arkansas 5% 572 572 556 1700
California 49% 500 513 498 1511
Colorado 20% 568 575 555 1698
Connecticut 83% 509 513 512 1534
Delaware 71% 495 498 484 1477
District of Columbia 79% 466 451 461 1378
Florida 59% 497 498 480 1475
Georgia 71% 490 491 479 1460
Hawaii 58% 479 502 469 1450
Idaho 18% 541 540 520 1601
Illinois 6% 588 604 583 1775
Indiana 63% 496 507 480 1483
Iowa 3% 610 615 588 1813
Kansas 7% 581 589 564 1734
Kentucky 7% 573 573 561 1707
Louisiana 7% 563 558 555 1676
1. Create a frequency polygon of all the numerical variables and explain the distribution of any two.
2. Compare the distribution of average reading score and average mathematical score. Comment on the similarity (or dissimilarity) between the distributions.
3. Find the mean, median and mode of the percentage taking the test and comment on them.
4. Which is the best graph to show all these variables. Give reasons for your choice.
5. Rajesh wants to open a new sandwich bar in Jalandhar. He wants to offer organic products in them. He wants to estimate the demand for his sandwiches and the variants of it. What is the best way for him to collect this information? Why should he choose the said method?
6. Suppose the average amount of cash (in pocket, wallet, purse, etc.) possessed by 60 students attending a class is Rs 125. The median amount carried is Rs 90.
(a) What characteristics of the distribution of cash carried by the students can be explained. Why is mean larger than the median?
(b) Identify the process or population to which inferences based on these results might apply
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557 552 549 1658
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