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  • The following are the weights (in kg) of 8 students in a class: 62, 65, 58, 60, 70, 55, 68, and 72. What is the coefficient of variation (CV) of the weights?Opti

The following are the weights (in kg) of 8 students in a class: 62, 65, 58, 60, 70, 55, 68, and 72. What is the coefficient of variation (CV) of the weights?

Option: 1

10.3\: %


Option: 2

9.9\: %


Option: 3

23.1\: %


Option: 4

27.5\: %


Answers (1)

best_answer

To calculate the coefficient of variation (CV), we first need to calculate the mean weight and standard deviation of the weights:

Mean weight =\frac{62 + 65 + 58 + 60 + 70+ 55 + 68 + 72}{8} = 64.5

Standard deviation  =\sqrt{\frac{(62-64.5)^{2}+(65-64.5)^{2}+(58-64.5)^{2}+(60-64.5)^{2}+(70-64.5)^{2}+(55-64.5)^{2}+(68-64.5)^{2}+(72-64.5)^{2}}{7}}

                                    = 6.39

Now we can calculate the coefficient of variation (CV):

\frac{6.39}{64.5}\times 100% = 9.9%

                               

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