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Question : A boy found that the average of 20 numbers is 35 when he mistakenly wrote the number '61' instead of '16'. What is the correct average of the 20 numbers?

Option 1: 32.75

Option 2: 37.25

Option 3: 34.75

Option 4: 34.25


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 32.75


Solution : Given: A boy found that the average of 20 numbers is 35.
When he writes a number '61' instead of '16'.
Difference = 61 – 16 = 45
$\therefore$ Correct average = 35 – $\frac{45}{20}$ = 35 – 2.25 = 32.75
Hence, the correct answer is 32.75.

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