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The mean and variance of the heights and weights of the students of a class are given below:HeightsWeightsMean63.2 inches63.2 kgSD11.5 inches5.6 kgWhich shows more variability, heights or weights? |
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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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