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 the top 25 PGA golfers (as ranked by the new method for the 2019 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 25 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 Player 1234522 23 24 25 Woodland Champ Trahan Kang Furyk Riley Gligic Herron Bae Jacobson Driving Driving Driving Distance Accuracy Performance (yards) (%) Index 322.3 327.1 308.5 316.2 287.5 300.9 301.6 282 302.3 293.9 72.56 57.14 68.25 60.48 80.95 58.93 58.21 71.43 54.59 60.71 9.43 6.50 5.49 5.10 4.39 1.55 1.51 0.83 0.74 0.56