Question

the mean of 16 numbers is 8 if 2 is added from every number what will be the new mean

Answer 1

There are 16 numbers, and their mean is 8.

Let their sum be S. So mean = S/16 =8.

If two is added to each number , the sum increases by 16 x 2 = 32.

To find the mean we divide by 16, so mean = (S+32)/16 =8+2 =10

Hence the new mean is 10

Answer 2

LET THE NUMBERS BE X1,X2,...X16,Then
$(x_{1} + x_{2} \: + ... x_{16}) \div 16 = 8$
$(x_{1 } \: + x_{2} \: + ... + x_{16}) = 128$

On adding 2 to each no.

$x_{1} \: + x_{2} + \: ... + x_{16} = 128 + 32$
on solving ,
$( x _{1} + x_{2} + .... x_{16}) + 16 = 10$
So, NEW MEAN IS 10.