# Question

The following data represent SAT Mathematics scores for 2010.

SAT Math Score .... Number

200-299 ....... 36,305

300-399 ....... 193,968

400-499 ....... 459,010

500-599 ....... 467,855

600-699 ...... 286,518

700-800 .... 104,334

(a) Approximate the mean and standard deviation of the score.

(b) Draw a frequency histogram of the data to verify that the distribution is bell shaped.

(c) According to the Empirical Rule, 95% of these students will have SAT Mathematics scores between what two values?

SAT Math Score .... Number

200-299 ....... 36,305

300-399 ....... 193,968

400-499 ....... 459,010

500-599 ....... 467,855

600-699 ...... 286,518

700-800 .... 104,334

(a) Approximate the mean and standard deviation of the score.

(b) Draw a frequency histogram of the data to verify that the distribution is bell shaped.

(c) According to the Empirical Rule, 95% of these students will have SAT Mathematics scores between what two values?

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