1. A random sample of 10 students in a Statistics class got a mean score of 78% with a standard deviation of 7% and a mean weight of 105 pounds with a standard deviation of 10 pounds. Determine the coefficient of variation.
Answers
Given : A random sample of 10 students in a Statistics class got a mean score of 78% with a standard deviation of 7% and a mean weight of 105 pounds with a standard deviation of 10 pounds.
To Find : the coefficient of variation.
Solution:
Coefficient of Variation = (Standard deviation /Mean) * 100 %
mean score of 78% with a standard deviation of 7%
=> Coefficient of Variation = (7/78) * 100 = 8.97 %
mean weight of 105 pounds with a standard deviation of 10 pounds.
Coefficient of Variation = (10/105) * 100 = 9.52 %
Coefficient of Variation of Score = 8.97 %
Coefficient of Variation of weight = 9.52 %
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