Question : The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48. Find the correct average of the given numbers.
Option 1: 58
Option 2: 48
Option 3: 46
Option 4: 56
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Correct Answer: 46
Solution :
The sum of the numbers including the incorrect one = 36 × 45 = 1620
Difference made by the misreading = 84 – 48 = 36
The sum of the correct numbers = 1620 + 36 = 1656
Correct average = $\frac{1656}{36}$ = 46
Hence, the correct answer is 46.
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