Q. 425.0( 1 Vote )

Which is false?
A. If is the mean of , then

B. If the mean of is , then the mean of

C. If the mean of is and a≠ 0, then the mean of

D. If M is the median of and a≠ 0, then aM is the median of

Answer :

(A) Given,


Now take L.H.S

So, given statement is true.

(B) Given,

Observations are = (x1 + a), (x2 + a), ……. (xn + a)

From equation (i) we get,

So, given statement is true.

(C) Mean of x1, x2, …… xn =

Given mean =

Observations are = ax1, ax2, ……..axn

Mean = a .. [From equation (i)]

So, the given statement is true.

(D) Let suppose the observations are =

……….( Given)

Sum = = nM…………..(i)


ax1 + ax2 + …………. + axn = aM


[from equation (i)]

a + M = aM (Which is not true)

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