Ranking driving performance of professional golfers. Refer to The Sport Journal (Winter 2007) analysis of a new method for ranking the total driving performance of golfers on the PGA tour, Exercise. Recall that the method uses both the average driving distance (in yards) and the driving accuracy (percent of drives that land in the fairway). Data on these two variables for the top 40 PGA golfers are saved in the PGADRIVER file. A professional golfer is practicing a new swing to increase his average driving distance. However, he is concerned that his driving accuracy will be lower. Is his concern reasonable? Explain.
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.
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 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
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., Habibullah, M., and Yilmaz, M. “Ranking driving performance on the PGA Tour,” Sports Journal , Vol. 10, No. 1, Winter 2007 (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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