Question

96. If Arithmetic Mean and coefficient of variation of x are 5 and 20 respectively. What is the variance of (15-2x)? (a) 16 (b) 2 (c) 4 (d) 32.

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Answer 1

Answer:

65

Step-by-step explanation:

Its easy.

First find out the sd of X.

See,

Coefficient of variation = SD/Mean*100%

Assuming CoV is given in percentage,

=> SD = Mean*COV = 10*40% = 4

=> Var(X) = 16

Var(15-2X) = 4*Var(X) = 4*16 = 64

Note: If the CoV is not given in percentage please adjust accordingly