The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March follow.

a. What are the maximum and minimum miles per gallon? What is the range?
b. Construct a relative frequency histogram for these data. How would you describe the shape of the distribution?
c. Find the mean and the standard deviation.
d. Arrange the data from smallest to largest. Find the z-scores for the largest and smallest observations. Would you consider them to be outliers? Why or why not?
e. What is the median?
f. Find the lower and upper quartiles.

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23.1 21.3 23.6 23.7 20.2 24.4 25.3 27.0 24.7 22.7 26.2 23.2 25.9 24.7 24.4 24.2 24.9 22.2 22.9 24.6