Question: The following data show ages of winners of Best Actor and Best Actress Oscar winners.

Actor: 32 51 33 61 35 45 55 39 76 37 42 40 32 60 38

56 48 48 40 43 62 43 42 44 41 56 39 46 31 47

Actress: 80 26 41 21 61 38 49 33 74 30 33 41 31 35 41

42 37 26 34 34 35 26 61 60 34 24 30 37 31 27

a) Find the mean and median of the Best Actor ages.

b) Find the range, 1^st quartile, third quartile and standard deviation of the Best Actor.

c) Make back-to-back stemplots to compare the data sets. What, if any, conclusions can you draw?

d) Make two boxplots to compare the data sets. What, if any, conclusions can you draw?

e) Are there any outliers in either data set?

f) For the Best Actor ages, what percent of the data fall within one standard deviation of the mean? Two standard deviations? Three standard deviations? (don’t assume a normal distribution)

g) Write a short paragraph to summarize your analysis and understanding of the distribution of the data.