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What is a variable?
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Distinguish between a discrete and a continuous variable.
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A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. Comment.
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Which measure of dispersion is the best and how?
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Some measures of dispersion depend upon the spread of values whereas some are estimated on the basis of the variation of values from a central value. Do you agree?
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If in the previous question, each worker is given a hike of 10 % in wages, how are the mean and standard deviation values affected?
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The average daily wage of 50 workers of a factory was Rs 200 with a standard deviation of Rs 40. Each worker is given a raise of Rs 20. What are the new average daily wage and standard deviation? Have the wages become more or less uniform?
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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,
Range
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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,
Compare the values of different measures for each crop.
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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,
Q.D.
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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,
Mean deviation about Mean
Concept: undefined >> undefined
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,
Mean deviation about Median
Concept: undefined >> undefined
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,
Standard deviation
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Calculate the mean deviation using mean and Standard Deviation for the following distribution.
|
Classes |
Frequencies |
|
20 - 40 |
3 |
|
40 - 80 |
6 |
|
80 - 100 |
20 |
|
100 - 120 |
12 |
|
120 - 140 |
9 |
|
|
50 |
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In a town, 25% of the persons earned more than Rs 45,000 whereas 75% earned more than 18,000. Calculate the absolute and relative values of dispersion.
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The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.
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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?
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In the previous question, calculate the relative measures of variation and indicate the value which, in your opinion, is more reliable.
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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,
- a higher run-getter, or
- a more reliable batsman in the team?
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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?
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