Question

mean of 50 observations was found to be 80.4. but later on it was discovered that 96 was misread as 69 at one place. find the correct mean.

Answer 1

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Here is your answer

As we know that
Mean = Sum of Numbers/Total Numbers

Sum of 50 Numbers = 50 × 80.4
= 4020

Now 96 is misread as 69

So New Correct Sum of 50 Numbers is
= 4020 - 69 + 96
= 4047

New Mean is
$= \frac{4047}{50} \\ \\ = 80.94$
Therefore Correct Mean is 80.94

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Answer 2

ANSWER IS

Sum of 50 Numbers is = 50 × 80.4
=4020

Now 96 misread as 69

Hence
Correct Sum of 50 Numbers= 4020 - 69 + 96
= 4047

Correct Mean =
$= \frac{4047}{50} \\ \\ = 80.94$
Thanks