Question : The average age of 9 girls is 16 years. The average age of 11 boys is 26 years. What is the average age of all these boys and girls taken together?
Option 1: 22 years
Option 2: 23 years
Option 3: 22.5 years
Option 4: 21.5 years
Correct Answer: 21.5 years
Solution :
Given,
The average age of 9 girls is 16 years. The average age of 11 boys is 26 years.
We know,
Average = $\frac{\text{Sum of all observations}}{\text{Total no of observations}}$
The average age of all together $=\frac{9×16+11×26}{9+11}=\frac{430}{20}= 21.5$
Hence, the correct answer is 21.5 years.
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