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# Ranking driving performance of professional golfers. A

ISBN: 9780321826237 51

## Solution for problem 50E Chapter 2

Statistics for Business and Economics | 12th Edition

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Problem 50E

Problem 50E

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 (as ranked by the new method) are saved in the accompanying file. The first five and last five observations are listed in the table below.

 Rank Player DrivingDistance(yards) DrivingAccuracy(%) DrivingPerformanceIndex 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

Source: Based on Frederick Wiseman, Ph.D., Mohamed Habibullah, Ph.D., and Mustafa Yilmaz, Ph.D, “Ranking 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, 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.

Step-by-Step Solution:
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POSITIVIST SCHOOL ● 19th century Age of Reason ○ mid-Industrial Revolution ● Cesare Lombroso ● Raffaele Garofalo ● Enrico Ferri ● Purpose​ = to apply the scientific method to the study of crime & criminality ● Human behavior is determined by psychological, biological, or social forces that constrain our rationality & free will ● Criminals different from non criminals ○ Commit crimes because they feel inferior ● Purpose of punishment = social defense ○ Should be applied differently to different offenders

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Ranking driving performance of professional golfers. A