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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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