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1) The students in a math class took the Scholastic Aptitude Test (SAT). Their math scores are shown below. Find the mean score.
552 593 358 352 537
349 357 596 470 482
2) Suppose that there are 400 students in your school class. What class rank is the 20th percentile?

3) The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of the bulbs have lifetimes that lie within one standard deviation of the mean on either side? (Use the "68-95.99.7 Rule")
4) Of the histograms below, which one is most likely to be based on a normally shaped
data distribution?

5) The distribution of B.A. degrees conferred by a local college is listed below, by
major.
Major Frequency
English 2,073
Mathematics 2,164
Chemistry 318
Physics 856
Liberal Arts 1,358
Business 1,676
Engineering 868
9,313 total
What is the probability that a randomly selected degree is not in Mathematics

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Solution Summary

Statistical questions are addressed.

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1. To compute the mean, we sum up all numbers and divide by the number of terms we've added.

Mean = (552+593+358+352+537+349+357+596+470+482)/10 = 464.6

2. 20th percentile is the value below which 20 percent of the observations may be found. Given a class of 400 students, the ...

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