Sleep and the College Student How much sleep do you get on a typical school night? A group of 10 college students were asked to report the number of hours that they slept on the previous night with the following results:
7, 6, 7.25, 7, 8.5, 5, 8, 7, 6.75, 6
a. Find the mean and the standard deviation of the number of hours of sleep for these 10 students.
b. Calculate the z-score for the largest value (x = 8.5). Is this an unusually sleepy college student?
c. What is the most frequently reported measurement? What is the name for this measure of center?
d. Construct a box plot for the data. Does the box plot confirm your results in part b? [HINT: Since the z-score and the box plot are two unrelated methods for detecting outliers, and use different types of statistics, they do not necessarily have to (but usually do) produce the same results.]
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