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Asked by Murali Last Modified
Answer 
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
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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 less
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 lessCoefficient of varation = ( S.D /Mean )*100
=> Mean = Sum of observations/N
= 100/10 = 10
=> S.d = √Σײ⁄N - Mean²
= √1090/10 - 10² = √9 = 3
=> Coeff. of varation = (3/10)*100
= 30
read less Ankit Khera
Tutor for JEE, UPSC, CAT, GATE,IES,NET(CE, CS, EE, EC, ME) and CA Exams
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