1 Answers

Option 3 : P. R

Explanation:

Let E(x) represent mean

Then by the property of mean

E(Cx) = cE(x) where c is constant

And E(x + c) = E(x) + E(c) = E(x) + c

∴ Options P and R always holds true.

Now,

Let Var (x) represent the variance

Then var (x + c) = var (x) + var (c)

 var (x + c) = var (x)    {∵ var (c) = 0}

∴ S.D (x + c) = S.D (x)

Now,

var (cx) =(c2)var (x)

S.D (cx) = (c)S.D (x)

∴ Options Q and S are incorrect.

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