Question

If the mean of data 3,8,5,16 is ‘8’ then what is the mean of the data

3+x, 8+x, 5+x, 16+x is ?​

Answer 1

Answer:

3+x+8+x+5+x+16+x/4=32+4x/4=32+x is the answer

Answer 2

We know that ,

$mean = \frac{sum \: of \: all \: observations}{no. \: of \: observations}$

Here , Observations are

➪︎ 3 + x ; 8 + x ; 5 + x ; 16 + x

No. of observations are 4

Substituting the values , we get

$\frac{3 + x + 8 + x + 5 + x + 16 + x}{4}$

$mean = \frac{4x + 32}{4}$

$mean = \frac{4(x + 8)}{4}$

➪︎ Mean = ( x + 8 )