Answered: Researchers developed a method for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Researchers developed a method for ranking the total driving performance of golfers. 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. Twenty driving performance index observations are listed in the table below. Use this information to answer the questions below. a. Find the mean for the 20 driving performance index values. (Round to three decimal places) b. Find the median for the 20 driving performance index values. (Round to two places) c. Interpret the mean. i. The mean is the average driving performance index value. ii. The mean is the driving performance index value such that half of the values in the data set are higher than it. iii. The mean is the driving performance index value that occurs most often in the data set. d. Interpret the median. i. The median is the average driving performance index value. ii. The median is the driving performance index value such that half of the values in the data set are higher than it. iii. The median is the driving performance index value that occurs most often in the data set.

1.25
3.51
2.77
2.33
1.43
3.39
2.02
1.41
1.23
2.08
1.41
1.25
1.51
2.22
2.85
1.84
2.38
2.11
1.41
1.36

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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