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, 1^st quartile, median, 3^rd 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?