Question : The average of 20 numbers is 32. If two numbers are 29 and 31, then what is the average of the remaining numbers (correct up to two decimals)?
Option 1: 31.24
Option 2: 30.22
Option 3: 34.44
Option 4: 32.22
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Correct Answer: 32.22
Solution :
Given
An average of 20 numbers = 32
Total of 32 numbers = 20 × 32 = 640
After removing 29 and 31 new total = 640 – (29 + 31) = 640 – 60 = 580
$\therefore$ New average = $\frac{580}{18}=32.22$
Hence, the correct answer is 32.22.
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