Multiple choice

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)?

  1. 11.25

  2. 11.5

  3. 11.75

  4. 12.25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total sum of ages is 24 * 12 = 288. The error was adding 14 instead of 8, a difference of +6. The correct sum is 288 - 6 = 282. The correct average is 282 / 24 = 11.75.

AI explanation

Using the average error formula, the net change in the sum is 8 minus 14, which equals negative 6. Divide this difference of negative 6 by the total count of 24 students to get a correction of negative 0.25. Subtract 0.25 from the initial incorrect average of 12 to calculate the true mean. The correct average age is 11.75.

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