A group of 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 40 PGA golfers (as ranked by the new method for a recent tour year) are saved in the accompanying file. The first five and last five observations are listed in the table below.

a. Find the mean, median, and mode for the 40 driving performance index values.

b. Interpret each of the measures of central tendency, part a.

c. Use the results, 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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Rank 1 2 2345... 36 37 38 39 40 Player Woods Perry Gutschewski Wetterich Hearn Senden Mickelson Watney Trahan Pappas Driving Distance (yards) 316.1 304.7 310.5 311.7 295.2 291 300 298.9 295.8 309.4 Driving Accuracy (%) 54.6 63.4 57.9 56.6 68.5 : 66 58.7 59.4 61.8 50.6 Driving Performance Index 3.58 3.48 3.27 3.18 2.82 : 1.31 1.30 1.26 1.23 1.17