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The average age of 22 people in a group was 12 years, if 5 people left whose average age was 13 years and then 2 people joined whose average age was 11 years, then find the new average age of the group.

The average age of 22 people in a group was 12 years, if 5 people left whose average age was 13 years and then 2 people joined whose average age was 11 years, then find the new average age of the group. Correct Answer 11.63 years

Given:

The average age of 22 people in a group was 12 years.

5 people left whose average age was 13 years and then 2 people joined whose average age was 11 years.

Formula used:

Average = Sum of observations/Number of observations

Calculation:

The average age of 22 people = 12 years.

Total age of 22 people = 12 × 22 = 264 years

5 People left and 2 people joined.

Total number of people = 22 - 5 + 2 = 19

Total age of 5 people who left = 5 × 13 = 65 years

Total age of 2 people who joined = 2 × 11 = 22 years.

Now, new total age of 19 people = 264 - 65 + 22 = 221

Average age of 19 people = 221/19 = 11.63 years

∴ new average age of group is 11.63 years.

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