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Ranking the driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) article on a new method for ranking the driving performance of PGA golfers, presented in Exercise 2.64 (p. 59). Recall that the method incorporates a golfer’s average driving distance (yards) and driving accuracy (percentage of drives that land in the fairway) into a driving performance index. Data on these three variables for the top 40 PGA golfers are saved in the PGADRIVER file. Determine which of the variables—driving distance, driving accuracy, and driving performance index—are approximately normally distributed.
Exercise 2.64
Ranking driving performance of professional golfers. A group of Northeastern University researchers developed a new method for ranking the total driving performance of golfers on the Professional Golf Association (PGA) tour (The Sport Journal, Winter 2007). The method requires knowing a golfer’s average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). The values of these two variables are used to compute a driving performance index. Data for the top 40 PGA golfers (ranked by the new method) are saved in the PGADRIVER file. The first five and last five observations are listed in the accompanying table.
a. Find the mean, median, and mode for the 40 driving performance index values.
b. Interpret each of the measures of central tendency calculated in part a.
c. Use the results from part a to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.
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