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प्रश्न
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?
उत्तर
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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A batsman is to be selected for a cricket team. The choice is between X and Y on the basis of their scores in five previous tests which are:
| X |
25 |
85 |
40 |
80 |
120 |
| Y |
50 |
70 |
65 |
45 |
80 |
Which batsman should be selected if we want,
(i) a higher run-getter, or
(ii) a more reliable batsman in the team?
To check the quality of two brands of lightbulbs, their life in burning hours was estimated as under for 100 bulbs of each brand.
|
Life (in hrs) |
No. of bulbs | |
| Brand A | Brand B | |
|
0 - 50 |
15 |
2 |
|
50 - 100 |
20 |
8 |
|
100 - 150 |
18 |
60 |
|
150 - 200 |
25 |
25 |
|
200 - 250 |
22 |
5 |
|
100 |
100 |
|
Which brand gives higher life?
To check the quality of two brands of lightbulbs, their life in burning hours was estimated as under for 100 bulbs of each brand.
|
Life (in hrs) |
No. of bulbs | |
| Brand A | Brand B | |
|
0 - 50 |
15 |
2 |
|
50 - 100 |
20 |
8 |
|
100 - 150 |
18 |
60 |
|
150 - 200 |
25 |
25 |
|
200 - 250 |
22 |
5 |
|
100 |
100 |
|
Which brand is more dependable?
