Question

If the mean of the numbers 27+x, 31+x, 89+x, 107+x, 156+x is 82, find ‘x’.

Answer 1

Answer :-

x = 0.

Explanation :-

Given :

• Mean of numbers 27 + x, 31 + x, 89 + x, 107 + x, 156 + x is 82.

To Find :

• Value of x.

Solution :

We know that,

Mean of numbers :-

Sum of Numbers/No. of Observations.

Substitute the Values.

⇒ 82 = (27+x+31+x+89+x+107+x+156+x)/5.

⇒ 82 = (27 + 31 + 89 + 107 + 156 + 5x)/5.

⇒ 82 = (410 + 5x)/5.

⇒ 82 × 5 = 410 + 5x.

⇒ 410 = 410 + 5x.

⇒ 5x = 410 - 410.

⇒ 5x = 0.

⇒ x = 0.

Therefore, Value of x = 0.