Question: Listed below are the differences (in years) between the ages of actresses and actors when they won Oscars. The differences are found by subtracting the

Listed below are the differences (in years) between the ages of actresses and actors when they won Oscars. The differences are found by subtracting the age of the male winner from the age of the female winner: (actress age) — (actor age). The differences are found using results from the last 12 years (as listed in Data Set 11 in Appendix B).

-20 -15 -3 -12 6 -15 -7 -9 16 -18 -15 -15

a. Find the mean. Compare the result to the value of the mean that would be expected if there is no gender discrepancy between the ages of Oscar-winning actresses and actors.

b. Find the median. Compare the result to the value of the median that would be expected if there is no gender discrepancy between the ages of Oscar-winning actresses and actors.

c. Find the standard deviation.

d. Find the variance. Be sure to include the units of measurement.

e. Find the value of the first quartile, Q1.

f. Find the value of the third quartile, Q3.

g. Construct a box plot. What does the box plot suggest about the distribution of the data?

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