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 PGA file.

The first five and last five observations are listed in the accompanying table.
Rank Player Driving Distance (yards)
Driving Accuracy (%)
Driving Performance Index 1 Woods 316.1 54.6 3.58 2 Perry 304.7 63.4 3.48 3 Gutschewski 310.5 57.9 3.27 4 Wetterich 311.7 56.6 3.18 5 Hearn 295.2 68.5 2.82 f f f f f 36 Senden 291 66 1.31 37 Mickelson 300 58.7 1.30 38 Watney 298.9 59.4 1.26 39 Trahan 295.8 61.8 1.23 40 Pappas 309.4 50.6 1.17 Based on Wiseman, F., et. al. “A new method for ranking total driving performance on the PGA Tour,” Sports Journal, Vol. 10, No. 1, Winter 2007 (Table 2).

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.