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.

The correct sum of the observations is found by adding the difference between the correct value and the incorrect value to the original total. The original total is 50 multiplied by 80.4, which equals 4020, and adjusting for the error gives 4020 plus 96 minus 69, resulting in a correct sum of 4047. Dividing this correct sum by the total number of observations, 50, gives the correct mean of 80.94.

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