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प्रश्न
The following are some particulars of the distribution of weights of boys and girls in a class:
| Number | Boys | Girls |
| 100 | 50 | |
| Mean weight | 60 kg | 45 kg |
| Variance | 9 | 4 |
Which of the distributions is more variable?
उत्तर
We know:
SD (boys) is 3 and SD (girls) is 2.
\[CV = \frac{\sigma}{\bar{X}} \times 100\]
\[\therefore CV (\text{ boys } ) = \frac{3}{60} \times 100\]
\[ = 5\]
\[CV (\text{ girls } ) = \frac{2}{45} \times 100\]
\[ = 4 . 44\]
Since CV for boys is greater than that of girls, distribution of the weights of boys is more variable than that of girls.
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संबंधित प्रश्न
Find the mean, mode, S.D. and coefficient of skewness for the following data:
| Year render: | 10 | 20 | 30 | 40 | 50 | 60 |
| No. of persons (cumulative): | 15 | 32 | 51 | 78 | 97 | 109 |
Calculate coefficient of variation from the following data:
| Income (in Rs): | 1000-1700 | 1700-2400 | 2400-3100 | 3100-3800 | 3800-4500 | 4500-5200 |
| No. of families: | 12 | 18 | 20 | 25 | 35 | 10 |
An analysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results:
| Firm A | Firm B | |
| No. of wage earners | 586 | 648 |
| Average weekly wages | Rs 52.5 | Rs. 47.5 |
| Variance of the |
100 |
121 |
| distribution of wages |
(i) Which firm A or B pays out larger amount as weekly wages?
(ii) Which firm A or B has greater variability in individual wages?
