Question

3. The mean of 40 observations was 160. It was detected on rechecking that the value 165 was wrongly copied as 125 for computation of the mean.find the correct mean?​

Answer 1

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$\huge{\underline{\underline{\color{green}{Answer}}}}$

The correct mean of the required observations is 161.

$\huge{\underline{\underline{\color{blue}{SOLUTION}}}}$

Step-by-step explanation:

Mean = sum/no. *of observation

So,

= >  160 = sum of 40 observations/40

= >  40 x 160 = sum of 40 observations

= >  6400 = sum of 40 observations.

Later on, it was detected on rechecking that the value of 165 was wrongly copied as 125 for computation of mean.

So,

Correct sum of observations = 6400 - 125 + 165 = 6400 + 40 = 6440

Therefore,

Correct mean = correct sum of observations/40

Correct mean = 6440/40 = 161

Hence, the correct mean is 161.

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