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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 Calculat - Economics

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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, 

Range

Sum

Solution

Wheat

Highest value of distribution (H) = 25

Lowest value  of distribution (L) = 9

Range = H - L

= 25 - 9

= 16

Rice 

Highest value of distribution (H) = 34

Lowest value  of distribution (L) = 12

Range = H - L

= 34 - 12

= 22

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Measures of Dispersion - Absolute Dispersion
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Chapter 6: Measures of Dispersion - Exercise [Page 89]

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NCERT Statistics for Economics [English]
Chapter 6 Measures of Dispersion
Exercise | Q 5. (i) | Page 89

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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?


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? 


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.


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


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


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


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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