Question : The average of 20 numbers is calculated as 35. It is discovered later on that while calculating the average, one number, 85, was misread as 45. The correct average is:
Option 1: 36
Option 2: 36.5
Option 3: 37
Option 4: 37.5
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Correct Answer: 37
Solution :
The average of 20 numbers = 35
The sum of 20 numbers = 20 × 35 = 700
Now add 85 and subtract 45,
Correct sum = 700 – 45 + 85 = 740
$\therefore$ Correct average = $\frac{740}{20}$ = 37
Hence, the correct answer is 37.
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