Question

If the mean of 6,8,5,x, 4,7, and 8 is 7, find the value of x.​

Answer 1

Note:

Mean of observations is given by ;

sum of observation/no.of observation

Here,

The observations are;

6,8,5,x,4,7,8.

Thus,

The sum of observations

= 6 + 8 + 5 + x + 4 + 7 + 8

= 38 + x

Also,

The number of observations = 7

We know that;

Mean of observations is given by ;

sum of observation/no.of observation.

Thus,

=> Mean = (38 + x)/7

=> 7 = (38 + x)/7

=> 7•7 = 38 + x

=> 49 = 38 + x

=> x = 49 - 38

=> x = 11

Hence,

The required value of x is 11.