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What is a variable?

[1.2] Collection, Organisation and Presentation of Data
Chapter: [1.2] Collection, Organisation and Presentation of Data
Concept: undefined >> undefined

Distinguish between a discrete and a continuous variable.

[1.2] Collection, Organisation and Presentation of Data
Chapter: [1.2] Collection, Organisation and Presentation of Data
Concept: undefined >> undefined

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A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. Comment.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

Which measure of dispersion is the best and how?

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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?

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

If in the previous question, each worker is given a hike of 10 % in wages, how are the mean and standard deviation values affected?

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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? 

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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, 

Range

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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, 

Compare the values of different measures for each crop.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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, 

Q.D.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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 Mean

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
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, 

Which crop has greater variation?

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

In the previous question, calculate the relative measures of variation and indicate the value which, in your opinion, is more reliable.

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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,

  1. a higher run-getter, or
  2. a more reliable batsman in the team?
[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined

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?

[1.3] Statistical Tools and Interpretation
Chapter: [1.3] Statistical Tools and Interpretation
Concept: undefined >> undefined
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