# Question

The following table lists the earnings per event that were referred to in Exercise 2.89. Although the table lists earnings per event, players are listed in order of their total earnings, not their earnings per event. Men and women are ranked together in the table.

A graph that is similar to an ogive is a graph of the empirical cumulative distribution function (CDF). The primary difference between an ogive and an empirical CDF is that the empirical CDF looks like a set of steps, as opposed to a set of slanted lines. The height of each step corresponds to the percentage of observations that occur at a specific value. Longer (not higher) steps occur when there are bigger gaps between observations.

a. Figures 2.27(a) and (b) contain the empirical CDFs of the earnings per event for the two tours (men’s and women’s), in some order. In other words, one of these two figures is for the men’s tour, and the other is for the women’s tour, but not in that order necessarily. Match the CDFs to the respective tours. Give three reasons for your choices.

b. Both distributions are skewed to the right. Use the information about longer steps to explain

Why the distributions are skewed to the right.

c. What are the approximate values of the CDFs corresponding to $3000 per tournament played and $4000 per tournament played? Based on this information, what is the approximate percentage of bowlers who earned between $3000 and $4000 per tournament played?

A graph that is similar to an ogive is a graph of the empirical cumulative distribution function (CDF). The primary difference between an ogive and an empirical CDF is that the empirical CDF looks like a set of steps, as opposed to a set of slanted lines. The height of each step corresponds to the percentage of observations that occur at a specific value. Longer (not higher) steps occur when there are bigger gaps between observations.

a. Figures 2.27(a) and (b) contain the empirical CDFs of the earnings per event for the two tours (men’s and women’s), in some order. In other words, one of these two figures is for the men’s tour, and the other is for the women’s tour, but not in that order necessarily. Match the CDFs to the respective tours. Give three reasons for your choices.

b. Both distributions are skewed to the right. Use the information about longer steps to explain

Why the distributions are skewed to the right.

c. What are the approximate values of the CDFs corresponding to $3000 per tournament played and $4000 per tournament played? Based on this information, what is the approximate percentage of bowlers who earned between $3000 and $4000 per tournament played?

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