The mean of displaystyle x-1-x-2-x-n- is M- When displaystyle x-i-i-1-2-10- is replaced by displaystyle x-i-10- the mean is displaystyle M-1- Then displaystyle M-1-M-10MM-10010M

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Toppr Admin · Accepted Answer

X1-x2-x3-x22C5-x22C5-x22C5-x1010-M-x2234-x1-10-x2-10-x3-10-x22C5-x22C5-x22C5-x10-1010-x1-x2-x3-x22C5-x22C5-x22C5-x10-10010-x1-x2-x3-x22C5-x22C5-x22C5-x1010-10010-M-10-apos-

The mean of x1+x2+...+xn is M. When xi,i=1,2,....,10, is replaced by xi+10, the mean is M1. Then M1=M+10MM+10010M

x1+x2+x3+⋅⋅⋅+x1010=M ∴x1+10+x2+10+x3+10+⋅⋅⋅+x10+1010=x1+x2+x3+⋅⋅⋅+x10+10010 =x1+x2+x3+⋅⋅⋅+x1010+10010 =M+10'

The mean of $x_{1} + x_{2} + . . . + x_{n}$ is M. When $x_{i}, i$ =1,2,....,10, is replaced by $x_{i} + 10$ , the mean is $M_{1}$ . Then $M_{1}$ =
M+10
M
M+100
10M