find the coefficient of variation of 24,26,33,37,29,31
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Given : 24,26,33,37,29,31
To Find : coefficient of variation
Solution:
Coefficient of Variation = (Standard deviation /Mean) * 100 %
24,26,33,37,29,31
Mean = ∑xi/N
N = 6
Mean = (24 + 26 + 33 + 37 + 29 + 31)/6
= 180/6
= 30
∑ (| xi - Mean)² = (36 + 16 + 9 + 49 + 1 + 1)
= 112
SD =√( ∑ (| xi - Mean)² / N )
= √( 112 / 6 )
= 4.32
Coefficient of Variation = (4.32/30) * 100 %
= 14.4 %
Coefficient of Variation = = 14.4 %
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