Concept explainers
One golfer’s scores for the season are 88,90,86, 89,96, and 85. Another golfer’s scores are 91,86,88, 84,90, and 83. What are the range and mean of each golfer’s scores? Use your results to compare the golfers' skills.
Find the range and mean of each golfer’s scores .
Answer to Problem 13P
Mean of Player I= 89
Range of Player I = 11
Mean of Player II = 87
Range of Player II = 8
The Player I has more varied scores since his range is higher.
The average score of Player I is higher than that of Player II , since mean of Player I is higher.
Explanation of Solution
Given:
One golfer’s scores for the season are 88 , 90 , 86 , 89 , 96 , and 85. Another golfer’s scores are 91 , 86 , 88 , 84 , 90 , and 83.
Calculation:
Arrange the scores of each golfer in ascending order:
Player I :85 , 86 , 88 , 89 , 90 , 96
Mean =
Range is the difference of the highest and lowest value of the data = 96 − 85 = 11
Player II: 83 , 84 , 86 , 88 , 90 , 91
Mean =
Range is the difference of the highest and lowest value of the data = 91 − 83 = 8
The Player I has more varied scores since his range is higher.
The average score of Player I is higher than that of Player II , since mean of Player I is higher.
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