Question : The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years)?
Option 1: 11.25
Option 2: 11.5
Option 3: 11.75
Option 4: 12.25
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Correct Answer: 11.75
Solution :
Given: The average age of 24 students is 12 years.
The sum of the age of 24 students = 24 × 12 = 288
The age of a student was taken as 14 years instead of 8 years.
So, corrected average = $\frac{(288–14+8)}{24}$
= $\frac{282}{24}$ = 11.75 years
Hence, the correct answer is 11.75.
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