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प्रश्न
Answer the following :
Following data relates to the distribution of weights of 100 boys and 80 girls in a school:
| Boys | Girls | |
| Mean | 60 | 47 |
| Variance | 16 | 9 |
Which of the two is more variable?
उत्तर
Let n1 = 100, n2 = 80, `bar(x)_1` = 60, `bar(x)_2` = 47, `sigma_1 = sqrt(16)` = 4, `sigma_2 = sqrt(9)` = 3
C.V. of boys = `100 xx sigma_1/bar(x)_1`
= `100 xx 4/60`
= `400/600`
= 6.67%
C.V. of girls = `100 xx sigma_2/bar(x)_2`
= `100 xx 3/47`
= `300/47`
= 6.38%
Here, C.V. of boys > C.V. of girls
∴ Series of boys is more variable.
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