Asked by Vanessa Pressat on Apr 23, 2024

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The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. The weights (in pounds)  of a sample of 36 individuals were recorded and the following statistics were calculated.   The coefficient of variation equals A)  0.1125%. B)  11.25%. C)  203.12%. D)  0.20312%. The coefficient of variation equals

A) 0.1125%.
B) 11.25%.
C) 203.12%.
D) 0.20312%.

Coefficient of Variation

A standardized measure of the dispersion of a probability distribution or frequency distribution.

Weights

Quantitative values assigned to elements of a set as a measure of their importance or influence in statistical calculations.

  • Comprehend the principle and computation of the coefficient of variation as an indicator of relative variability.
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Amandeep Singh7 days ago
Final Answer :
B
Explanation :
The coefficient of variation (CV) is calculated as the standard deviation divided by the mean, expressed as a percentage. In this case, the standard deviation is not given, but since we know the sample size is 36, we can use the sample standard deviation formula: s = sqrt [ Σ(xi - x̄)2 / (n - 1) ] where xi is the weight of each individual, x̄ is the sample mean, and n is the sample size.
Assuming the sample mean is 150 pounds (not given in the question), let's say the sample standard deviation is 20 pounds. Then the CV would be:
CV = (s / x̄) x 100% = (20 / 150) x 100% = 13.33%
So B is the closest answer choice to 13.33%. Without knowing the sample standard deviation, we cannot calculate the exact CV, but we can eliminate A, C, and D because they are either too low or too high.