Every year, the National Survey of Student Engagement (NSSE) asks U.S. university students how many 20-page papers they had been assigned. Here are the percentages, for 1 year, of students who said they had been assigned between 5 and 10 twenty-page papers for a sample of 19 universities.

a. Calculate the mean of these data using the symbols and formula.

b. Calculate the variance of these data using the symbols and formula; also use columns to show all calculations.

c. Calculate the standard deviation using the symbols and formula. 

d. In your own words, describe what the mean and standard deviation of these data tell us about these scores.

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