Question:
The mean of 72 items was found to be 63. If two of the items were misrecorded as 27 and 9 instead of 72 and 90 respectively, find the correct mean.
The mean of 72 items was found to be 63. If two of the items were misrecorded as 27 and 9 instead of 72 and 90 respectively, find the correct mean.
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When the values are misrecorded, adjust the sum accordingly and then recalculate the mean.
Updated On: Aug 18, 2025
- 64.75
- 64.25
- 63.25
- 65.75
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The Correct Option is A
Solution and Explanation
The sum of the 72 items originally is:
\[
\text{Sum} = 72 \times 63 = 4536
\]
Now, two values were misrecorded as 27 and 9, instead of 72 and 90, so the corrected sum is:
\[
\text{Corrected sum} = 4536 - (27 + 9) + (72 + 90) = 4536 - 36 + 162 = 4662
\]
The correct mean is:
\[
\text{Correct mean} = \frac{4662}{72} = 64.75
\]
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