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,


…..(i)


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)


And


ax1 + ax2 + …………. + axn = aM


Then,



[from equation (i)]



a + M = aM (Which is not true)

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