The mean of 50 observations was 36. It was found later that an observation 48, was wrongly taken as 23. The corrected new mean would be

The original sum of the 50 observations is 50 multiplied by 36, which equals 1800. The correct observation should be 48 instead of the wrongly recorded 23, so the corrected sum increases by 48 minus 23, which is 25. The new corrected sum is 1800 plus 25, equaling 1825. Dividing this corrected sum by 50 gives the new mean as 36.5.

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