NCERT solutions for Economics - Statistics for Economics Class 11 chapter 6 - Measures of Dispersion [Latest edition]

Chapter 6: Measures of Dispersion

Exercise
Exercise [Pages 89 - 90]

NCERT solutions for Economics - Statistics for Economics Class 11 Chapter 6 Measures of Dispersion Exercise [Pages 89 - 90]

Exercise | Q 1. | Page 89

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

Exercise | Q 2. | Page 89

Which measure of dispersion is the best and how?

Exercise | Q 3. | Page 89

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?

Exercise | Q 4. | Page 89

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.

Exercise | Q 5. (i) | Page 89

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

Exercise | Q 5. (ii) | Page 89

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.

Exercise | Q 5. (iii) | Page 89

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,

Exercise | Q 5. (iv) | Page 89

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,

Exercise | Q 5. (v) | Page 89

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

Exercise | Q 5. (vi) | Page 89

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?

Exercise | Q 5. (vii) | Page 89

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.

Exercise | Q 6. | Page 89

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

Exercise | Q 7. | Page 89

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?

Exercise | Q 8. (i) | Page 90

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?

Exercise | Q 8. (ii) | Page 90

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?

Exercise | Q 9. | Page 90

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?

Exercise | Q 10. | Page 90

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

Exercise | Q 11. | Page 90

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
Exercise | Q 12. | Page 90

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

Exercise

NCERT solutions for Economics - Statistics for Economics Class 11 chapter 6 - Measures of Dispersion

NCERT solutions for Economics - Statistics for Economics Class 11 chapter 6 (Measures of Dispersion) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Economics - Statistics for Economics Class 11 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Economics - Statistics for Economics Class 11 chapter 6 Measures of Dispersion are Lorenz Curve, Measures of Central Tendency - Mean, Measures of Central Tendency - Median, Measures of Central Tendency - Mode, Measures of Central Tendency - Central Value Or Representative Value, Measures of Central Tendency - Series, Measures of Central Tendency - Partition Value, Measures of Central Tendency - Quartile, Measures of Central Tendency - Deciles, Measures of Central Tendency - Percentile, Measures of Dispersion - Absolute Dispersion, Measures of Dispersion - Relative Dispersion, Lorenz Curve, Correlation Meaning, Properties of Correlation,, Types of Correlation, Scatter Diagram of Correlation, Measures of Correlation - Karl Pearson'S Method (Two Variables Ungrouped Data), Measures of Correlation - Spearman's Rank Correlation, Meaning of Index Numbers, Uses of Index Numbers, Types of Index Number - Wholesale Price Index, Types of Index Number - Consumer Price Index, Types of Index Number - Index of Industrial Production, Construction of Price Index, Cost of Living Index Number, Inflation and Index Numbers, Method to Measure - Simple Aggregate Method, Method to Measure - Simple Average Price Relative Method, Method to Measure - Laspeyer Method, Method to Measure - Paasche's Index Numer, Method to Measure - Fisher's Method, Introduction to Measures of Dispersion, Measures Based Upon Spread of Values, Measures of Dispersion from Average, Absolute and Relative Measures of Dispersion, Lorenz Curve, Measures of Dispersion - Conclusion.

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