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in Statistics by (44.7k points)
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The mean and variance of the heights and weights of the students of a class are given below:

Heights Weights
Mean 63.2 inches 63.2 kg
SD 11.5 inches 5.6 kg

Which shows more variability, heights or weights?

1 Answer

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Best answer

In case of heights,

Mean = 63.2 inches and SD = 11.5 inches. 

So, the coefficient of variation,

CV = \(\frac{SD}{Mean}\times100\) 

CV =   \(\frac{11.5}{63.2}\times100\)  = 18.196

In case of weights,

Mean = 63.2 inches and SD = 5.6 inches.

So, the coefficient of variation,

CV = \(\frac{SD}{Mean}\times100\) 

CV =   \(\frac{5.6}{63.2}\times100\)  = 8.86

CV of heights > CV of weights 

So, heights show more variability

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