Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# Find the coefficient of variation of 24, 26, 33, 37, 29, 31. - Mathematics

Sum

Find the coefficient of variation of 24, 26, 33, 37, 29, 31.

#### Solution

Arrange in ascending order we get 24, 26, 29, 31, 33, 37

Assumed mean = 29

 xi di = xi − A= xi − 29 di2 24 − 5 25 26 − 3 9 29 0 0 31 2 4 33 4 16 37 8 64 sumx_"i" = 180 sum"d"_"i" = 6 sum"d"_"i"^2 = 118

Here n = 6, sum"d"_"i" = 6, sum"d"_"i"^2 = 118

bar(x) = (sumx_"i")/"n" = 180/6 = 30

⇒ bar(x) = 30

Standard deviation (σ) = sqrt((sum"d"_"i"^2)/"n" - ((sum"d"_"i")/"n")^2

= sqrt(118/6 - (6/6)^2

= sqrt(19.666 - 1)

= sqrt(19.67 - 1)

= sqrt(18.67)

(σ) = 4.32

Coefficent of variation = sigma/(barx) xx 100

= 4.32/30 xx 100

= 432/30

= 14.4

Coefficient of variation = 14.4%

Concept: Coefficient of Variation
Is there an error in this question or solution?