Question

10. The mean of 16 numbers is 8, if 2 is added to every number, what will be the new mean.

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Answer 1

Step-by-step explanation:

Ans-

let the new mean be (X1 +X2 +X3 +...........+ X16 )/ 16

or, 8= (X1+X2 +X3 +..........+ X16 )/16

or, (X1 +X2 +X3+ ........X16 )=16×8

or, (X1+X2+X3 +.......... X16)= 128

Now , when 2 is added the new mean will be :-

or, { (X1 +2) + (X2 +2 ) + ( X3 +2) .......(X16+2)} /1

or, [( X1+X2+X3+..,......+X16)+ (2×16)]. /16

or, (128+32)/16

or, 160/16

or ,10 .

therefore new mean = 10

hope it will help