Question : Given below is the observed data on the age of various boys. Study the table carefully and answer the question that follows.
| Age in years | Number of children (Boys) |
| 5 | 8 |
| 6 | 3 |
| 7 | 7 |
| 8 | 2 |
| 9 | 20 |
Calculate the mean age of the boys.
Option 1: 6.57
Option 2: 9.57
Option 3: 7.57
Option 4: 8.57
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Correct Answer: 7.57
Solution :
Mean Age
= $\frac{\text{Sum of ages of all children}}{\text{Number of children}}$
= $\frac{8\times 5+3\times6+7\times 7+8\times 2+20\times 9}{8+3+7+2+20}$
= $7.57$
Hence, the correct answer is 7.57.
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