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If the coefficient of variation of X-series is 14.6% and that of Y-series is 36.9% and their means are 101.2 and 101.25 respectively, find their standard deviation.

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CV= (s.d./mean)*100 % So, in this case, the respective standard deviations would be 14.78 and 37.36
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Jan '17 If the coefficient of variation of X-series is 14.6%.jpg779x357 38.9 KB
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If the coefficient of variation of X-series is 14.6%.jpg779x357 38.9 KB

 

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coefficient of variation = Standard Deviation/Mean *100 14.6% = SD/101.2*100 = 14.77 36.9% = SD/101.25*100 = 37.36
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Tutor

coefficient of variation = SD/Mean * 100 14.6% = SD/101.2 * 100 = 14.77 coefficient of variation = SD/Mean * 100 36.9% = SD/101.25 * 100 = 37.36
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