The arithmetic mean of numbers $$a,\,b,\,c,\,d,\,e$$ is $$M$$. What is the value of $$\left( {a - M} \right) + \left( {b - M} \right) + \left( {c - M} \right) + \left( {d - M} \right) + \left( {e - M} \right)\,?$$
A.
$$M$$
B.
$$a + b + c + d + e$$
C.
$$0$$
D.
$$5M$$
Answer :
$$0$$
Solution :
$$\eqalign{
& {\text{Given }}M = \frac{{a + b + c + d + e}}{5} \cr
& \Rightarrow a + b + c + d + e = 5M \cr
& \Rightarrow a + b + c + d + e - 5M = 0 \cr
& \Rightarrow \left( {a - M} \right) + \left( {b - M} \right) + \left( {c - M} \right) + \left( {d - M} \right) + \left( {e - M} \right) = 0 \cr
& {\text{Hence, Required value}} = 0 \cr} $$
Releted MCQ Question on Statistics and Probability >> Statistics
Releted Question 1
Select the correct alternative in each of the following. Indicate your choice by the appropriate letter only.
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