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