Question
Note: Attach the diagrams and tables into the file. The data set contains the average Math SAT scores and Verbal SAT scores in 51 states.
Note:Attach the diagrams and tables into the file. The data set contains the average Math SAT scores and Verbal SAT scores in 51 states. Answer in complete sentences. R is a software needed to calculate the data and make the graphs.
State | Verbal SAT | Math SAT |
Alabama | 593 | 572 |
Alaska | 547 | 533 |
Arizona | 563 | 553 |
Arkansas | 614 | 594 |
California | 531 | 524 |
Colorado | 606 | 595 |
Connecticut | 530 | 512 |
Delaware | 503 | 492 |
DC | 482 | 468 |
Florida | 520 | 497 |
Georgia | 535 | 515 |
Hawaii | 544 | 541 |
Idaho | 513 | 493 |
Illinois | 559 | 556 |
Indiana | 542 | 532 |
Iowa | 641 | 635 |
Kansas | 632 | 628 |
Kentucky | 631 | 616 |
Louisiana | 611 | 586 |
Maine | 513 | 499 |
Maryland | 536 | 524 |
Massachusetts | 555 | 551 |
Michigan | 509 | 495 |
Minnesota | 644 | 651 |
Mississippi | 634 | 607 |
Missouri | 640 | 631 |
Montana | 605 | 591 |
Nebraska | 629 | 625 |
Nevada | 563 | 553 |
New Hampshire | 532 | 520 |
New Jersey | 530 | 526 |
New Mexico | 577 | 561 |
New York | 528 | 523 |
North Carolina | 546 | 535 |
North Dakota | 635 | 621 |
Ohio | 578 | 570 |
Oklahoma | 530 | 517 |
Oregon | 560 | 548 |
Pennsylvania | 540 | 531 |
Rhode Island | 539 | 524 |
South Carolina | 543 | 521 |
South Dakota | 612 | 603 |
Tennessee | 623 | 604 |
Texas | 513 | 507 |
Utah | 624 | 614 |
Vermont | 562 | 551 |
Virginia | 561 | 541 |
Washington | 541 | 534 |
West Virginia | 558 | 528 |
Wisconsin | 642 | 649 |
Wyoming | 626 | 604 |
1.(a) Use R to compute the five-number summary for the Verbal scores and the Math scores:Minimum, 1st quartile, median, 3rd quartile, maximum.
(b) Use R to generate side-by-side box-plots of the Verbal scores and the Math scores.
(c) Use the five-number summaries and the box-plots to compare the Verbal SAT scores and the Math SAT scores: compare the medians, quartiles, range, skewness (if any) or symmetry; note any outliers or other unusual features.
2. (a) UseR to make a histogramof the Math SAT score. (Suggested breaks: 450,475,500...,650,675)
(b) Describe the Math SAT data: comment on the shape: symmetric, positively skewed, negatively skewed, etc.; the centre: the mean and median; or other unusual features.
3. (a) Use R to make a histogram of the Verbal SAT score data for your year. (Suggested breaks 475,500,525...,625,650)
(b) Describe the distribution of Verbal SAT data: comment on the shape: symmetric, positively skewed, negatively skewed, etc.; the centre: the mean and median; other unusual features.
4. (a) Use R to create a scatterplot of Verbal SAT score (as the x-value) and Math SAT score (as the y value).
(b)Use R to calculate the correlation between Verbal SAT Score and Math SAT score.
(c) Describe the relationship between Math SAT score and Verbal SAT score: Does the data have a linear relationship? Is it positive or negative?
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