Question : The average of 100 observations was calculated as 35. It was found later, that one of the observations was misread as 83 instead of 53. The correct average is:
Option 1: 32.7
Option 2: 34.7
Option 3: 35.7
Option 4: 36.7
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Correct Answer: 34.7
Solution : Given: An average of 100 observations = 35 One observation was misread as 83 instead of 53. The correct average will be: $\frac{100\times 35 - (83 - 53)}{100}$ = $\frac{3500 - 30}{100}$ = $\frac{3470}{100}$ = 34.7 Hence, the correct answer is 34.7.
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