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 (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)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 