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Question
The yield of wheat and rice per acre for 10 districts of a state is as under:
|
District |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| Wheat |
12 |
10 |
15 |
19 |
21 |
16 |
18 |
9 |
25 |
10 |
| Rice |
22 |
29 |
12 |
23 |
18 |
15 |
12 |
34 |
18 |
12 |
Calculate for each crop,
Which crop has greater variation?
Solution
Coefficient of Variation
a. Wheat
CV = `sigma/overlineX xx 100`
= `5.04/15.5 xx 100`
= 32.51
b. Rice
CV = `sigma/overlineX xx 100`
= `7.16/19.5 xx 100`
= 36.71
Rice crop has greater variation as the coefficient of variation is higher for rice as compared to that of wheat.
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