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
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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