24,26,33,37,29,31 finds its coefficient of variation
Answers
Answer:
14.4 %
Step-by-step explanation:
Arranging the coefficient of variation in order
xi 24,26,29,31,33,37
Xi di = xi –x di^2
= xi-30
24 -6 36
26 -4 16
29 -1 1
31 1 1
33 3 9
37 7 49
∑di = 0 ∑di² = 112
r = ∑di²/n = √112/6 = √18.67
=4.32
CV = r/x x 100 = 4.32/30 x 100 = 14.4 %
coefficient of variation = 14.4 %
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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