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# The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.

Maths Tutor

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coefficient of variation = Standard Deviation/Mean *100 Standard Deviation = Square root of (1090/10) = 3.3 Mean = 100 / 10 = 10 coefficient of variation = Standard Deviation/Mean *100 = 3.3/10*100 = 33% read more

coefficient of variation = Standard Deviation/Mean *100

Standard Deviation = Square root of (1090/10) = 3.3

Mean = 100 / 10 = 10

coefficient of variation = Standard Deviation/Mean *100

= 3.3/10*100

= 33%

Tutor

C.V=(σ/x)×100 where σ=standard deviation&(x)=mean (x)=100²/10=1000(sum of values/number of values) σ= √Σd²/n=1090/10=√109=10.44=√(sum of square of values/number of values) C.V=(10.44/1000)×100=1.044 read more

C.V=(σ/x)×100

where σ=standard deviation&(x)=mean

(x)=100²/10=1000(sum of values/number of values)

σ= √Σd²/n=1090/10=√109=10.44=√(sum of square of values/number of values)

C.V=(10.44/1000)×100=1.044

Tutor

The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation coefficient of variation = Standard Deviation/Mean * 100 SD = Square root of (X/N), Square root of (1090/100) = 3.3 Mean = 100 / 10 = 10 coefficient of variation = 3.3/10 * 100 = 33% read more

The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation

coefficient of variation = Standard Deviation/Mean * 100

SD = Square root of (X/N), Square root of (1090/100) = 3.3

Mean = 100 / 10 = 10

coefficient of variation = 3.3/10 * 100 = 33%

Mean, m= 100/10=10 Variance = (1090/10) - m^2=109-100=9 Standard deviation, sd =(variance) ^(1/2) = 3 Coefficient of variation = (sd/m) *100% =30%

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Coefficient of Variation = (Standard Deviation)/ (Mean) * 100 Standard Deviation = ^ 0.5 = 3 Mean = 100/10 = 10 Coefficient of Variation = 3/10 *100 = 30%

Coefficient of varation = ( S.D /Mean )*100 => Mean = Sum of observations/N = 100/10 = 10 => S.d = √Σ×²⁄N - Mean² = √1090/10 - 10² = √9 = 3 => Coeff. of varation = (3/10)*100 ... read more

Coefficient of varation = ( S.D /Mean )*100

=> Mean = Sum of observations/N

= 100/10 = 10

=> S.d = √Σ×²⁄N - Mean²

= √1090/10 - 10² = √9 = 3

=> Coeff. of varation = (3/10)*100

= 30

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