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Chapters
Chapter 2: Collection of Data
Chapter 3: Organisation of Data
Chapter 4: Presentation of Data
Chapter 5: Measures of Central Tendency
Chapter 6: Measures of Dispersion
Chapter 7: Correlation
Chapter 8: Index Numbers
Chapter 9: Use of Statistical Tools
Chapter 6: Measures of Dispersion
NCERT solutions for Economics  Statistics for Economics Class 11 Chapter 6 Measures of Dispersion Exercise [Pages 89  90]
A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. Comment.
Which measure of dispersion is the best and how?
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?
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.
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
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
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?
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.
In the previous question, calculate the relative measures of variation and indicate the value which, in your opinion, is more reliable.
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 rungetter, 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?
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?
If in the previous question, each worker is given a hike of 10 % in wages, how are the mean and standard deviation values affected?
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 
The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.
Chapter 6: Measures of Dispersion
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, stepbystep 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.
Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for selfstudy and acts as a perfect selfhelp guidance for students.
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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