If the variance of a distribution is 81 and the coefficient variation is 30%, find mean.

  1. 25
  2. 30
  3. 35
  4. 40

Answer (Detailed Solution Below)

Option 2 : 30
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Detailed Solution

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Concept:

Coefficientofvariation=standarddeviaitonMean×100

S.D=Variance

 

Calculation:

Given:

Variance = 81 and coefficient variation = 30%

We know that, S.D=Variance

S.D=Variance=81=9

As we know, Coefficientofvariation=standarddeviaitonMean×100

Coefficientofvariation=9Mean×100

30=9Mean×100

⇒ Mean = 30

 

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