Construct a stem-and-leaf display of the ages of a random sample of people who attended a recent soccer match given in Exercise 2.15. Then find the interquartile range.

A random sample of data has a mean of 75 and a variance of 25.

a. Use Chebyshev’s theorem to determine the percent of observations between 65 and 85.

b. If the data are mounded, use the empirical rule to find the approximate percent of observations between 65 and 85.

If the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values?

a. 190 and 310

b. 210 and 290

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