The following table lists a portion of the average math SAT scores for each state for the year 2009. The entire data set, labeled Math_SAT, can be found on the text website.

State .......... SAT

Alabama .... 552

Alaska ........ 516

       :               :

Wyoming ..568

a. Construct a frequency distribution and histogram using classes of 450 to 500, 501 to 550, etc. Comment on the shape of the distribution. How many of the states had scores between 551 and 600?

b. Construct the relative frequency, the cumulative frequency, and the cumulative relative frequency distributions.

c. How many of the states had math SAT scores of 550 or less?

d. What percent of the states had math SAT scores between 551 and 600? What percent of the states had mean SAT scores of 550 or less?