T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 6 – Diagrammatic Presentation of Data Bar Diagrams and Pies Diagrams is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.
Board 
CBSE 
Class 
Class 11 
Subject 
Statistics for Economics 
Chapter 
Chapter 6 
Chapter Name 
Diagrammatic Presentation of Data Bar Diagrams and Pies Diagrams 
Number of questions solved 
05 
Category 
T.R. Jain and V.K. Ohri 
Chapter 6 – Diagrammatic Presentation of Data Bar Diagrams and Pies Diagrams cover belowmentioned concepts
 What is a bar diagram?
 Types of bar diagram
 Pie or Circular Diagrams
 Multiple bar diagram
T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 6 – Diagrammatic Presentation of Data Bar Diagrams and Pies Diagrams
Question 1
Represent the following data by a percentage bar diagram.
Subjects 
Number of Students 

201617 
201718 

Statistics 
25 
30 
Economics 
40 
42 
History 
35 
28 
Solution
Subject 
201617 
201718 

Number of students (%) 
Cumulative Percentage 
Number of students (%) 
Cumulative Percentage 

Statistics 
25 
25 
30 
30 
Economics 
40 
60 
42 
72 
History 
35 
100 
28 
100 
Total 
100 
100 
Question 2
Draw a suitable diagram to represent the following information
Factory 
Selling price per unit (in â‚¹) 
Quantity Sold 
Cost Components (in â‚¹) 

Wages 
Material 
Miscellaneous 
Total 

X 
400 
20 
3,200 
2,400 
1,600 
7,200 
Y 
600 
30 
6,000 
6,000 
9,000 
21,000 
Also, show profit and loss.
Solution
First of all, we shall calculate the cost (wages, materials, miscellaneous) and profit per unit as given in the following table.
Factory X (20 units) 
Factory Y (30 units) 

Total Cost (â‚¹) 
Per Unit Cost (â‚¹) 
Total Cost (â‚¹) 
Per Unit Cost (â‚¹) 

Wages 
3,200 
160 
6,000 
200 
Materials 
2,400 
120 
6,000 
200 
Miscellaneous 
1,600 
80 
9,000 
300 
Profit/Loss 
800 (8,0007,200) 
40 
3,000 (18,00021,000) 
100 
Note: (Negative profit is regarded as a loss)
An appropriate diagram for representing this data would be the rectangle whose widths are in the ratio of the quantities sold, i.e, 20:30, i.e, 2:3. Selling prices would be represented by the corresponding heights of the rectangles with various costs (wages, materials, miscellaneous) and profit or loss represented by the various divisions of the rectangles as shown in the diagram given on the next page.
(Note: In the case of profit, i.e., when selling price > cost price, the entire rectangle will lie above the Xaxis. But in case of loss, we will have a rectangle with a portion lying below the Xaxis which will reflect the loss incurred, it cannot be recovered through sales)
Question 3
Following are the data about the market share of four brands of TV sets sold in Panipat and Ambala. Present the data in the pie chart.
Brand of Sets 
Units sold in Panipat 
Units sold in Ambala 
Samsung 
480 
625 
Akai 
360 
500 
Onida 
240 
438 
Sony 
120 
312 
Solution
Total sets sold in Place A and Place B are 1,200 and 1,875 respectively. Data are to be represented by two circles whose radii are in the ratio of square roots of total TV sets sold in each city in the ratio of : or 1:1. The calculations regarding the construction of the pie diagram are as follows.
Brands of Sets 
Place A 
Place B 

Sets Sold 
Sales(â‚¹) 
Sales in terms of components of 360Â° 
Sets Sold 
Sales % 
Sales in terms of components of 360Â° 

Samsung 
480 
40 
\(\frac{40}{100}\, \times \, 360^{\circ}\, =\, 144^{\circ}\) 
625 
33.3 
\(\frac{33.3}{100}\, \times \, 360^{\circ}\, =\, 119.88^{\circ}\) 
Akai 
360 
30 
\(\frac{30}{100}\, \times \, 360^{\circ}\, =\, 108^{\circ}\) 
500 
26.7 
\(\frac{26.7}{100}\, \times \, 360^{\circ}\, =\, 96.12^{\circ}\) 
Onida 
240 
20 
\(\frac{20}{100}\, \times \, 360^{\circ}\, =\, 72^{\circ}\) 
438 
\(\frac{23.4}{100}\, \times \, 360^{\circ}\, =\, 84.24^{\circ}\)  
Sony 
120 
10 
\(\frac{10}{100}\, \times \, 360^{\circ}\, =\, 36^{\circ}\) 
312 
16.6 
\(\frac{16.6}{100}\, \times \, 360^{\circ}\, =\, 59.76^{\circ}\) 
Total 
1,200 
360Â° 
1,875 
360Â° 
Question 4
The following table shows the interest of students in a school in different games.
Games 
Table Tennie 
Volleyball 
Hockey 
Basketball 
Cricket 
No of Students 
500 
300 
350 
400 
550 
Solution
Question 5
The following table shows the monthly expenditure of different families on different items.
Items of Expenditure 
Education 
Clothing 
Food 
Rent 
Other 
Total Expenditure 
Family A 
1,500 
1,000 
1,250 
750 
500 
5,000 
Family B 
1,700 
850 
1,200 
850 
600 
5,200 
Family C 
1,600 
700 
1,500 
800 
600 
5,200 
Represent the data in the form of a subdivided bar diagram.
Solution
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