T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 6 – Diagrammatic Presentation of Data: Bar diagrams and Pie 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 Pie Diagrams cover the below-mentioned concepts.
- Â Â Â What is a bar diagram?
- Â Â Â Types of bar diagram
- Â Â Â Pie or Circular diagrams
- Â Â Â 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 | |
| 2016–17 | 2017–18 | |
| Statistics | 25 | 30 |
| Economics | 40 | 42 |
| History | 35 | 28 |
Solution
| Subject | 2016–17 | 2017–18 | ||
| 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 | Â | 100 | Â |
Question 2
Draw a suitable diagram to represent the following information.
| Factory | Selling price per unit (in ₹) | Quantity sold | Cost components (in ₹) | |||
| Wages | Materials | 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.
| Â | Factory X (20 units) | Factory Y (30 units) | ||
| Total cost (₹) | Per unit cost (₹) | Total cost (₹) | Per unit cost (₹) | |
| Wages | 3,200 | 160 | 6,000 | 200 |
| Materials | 2,400 | 120 | 6,000 | 200 |
| Miscellaneous | 1,600 | 80 | 9,000 | 300 |
| Profit/Loss | 800
(8,000–7,200) |
40 | -3,000
(18,000–21,000) |
-100 |
Note:Â (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 the profit or loss represented by the various divisions of the rectangles as shown in the diagram given on the next page.
(Note: In case of profit, i.e., when selling price > cost price, the entire rectangle will lie above the X-axis. However, in case of loss, we will have a rectangle with a portion lying below the X-axis which will reflect the loss incurred and 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 1:1. The calculations regarding the construction of the pie diagram are as follows.
| Brands of Sets | Place A | Place B | ||||
| Sets sold | Sales(₹) | Sales in terms of components of 360° | Sets sold | Sales % | Sales in terms of components of 360° | |
| Samsung | 480 | 40 | \(\begin{array}{l}\frac{40}{100}\, \times \, 360^{\circ}\, =\, 144^{\circ}\end{array} \) |
625 | 33.3 | \(\begin{array}{l}\frac{33.3}{100}\, \times \, 360^{\circ}\, =\, 119.88^{\circ}\end{array} \) |
| Akai | 360 | 30 | \(\begin{array}{l}\frac{30}{100}\, \times \, 360^{\circ}\, =\, 108^{\circ}\end{array} \) |
500 | 26.7 | \(\begin{array}{l}\frac{26.7}{100}\, \times \, 360^{\circ}\, =\, 96.12^{\circ}\end{array} \) |
| Onida | 240 | 20 | \(\begin{array}{l}\frac{20}{100}\, \times \, 360^{\circ}\, =\, 72^{\circ}\end{array} \) |
438 | \(\begin{array}{l}\frac{23.4}{100}\, \times \, 360^{\circ}\, =\, 84.24^{\circ}\end{array} \) |
|
| Sony | 120 | 10 | \(\begin{array}{l}\frac{10}{100}\, \times \, 360^{\circ}\, =\, 36^{\circ}\end{array} \) |
312 | 16.6 | \(\begin{array}{l}\frac{16.6}{100}\, \times \, 360^{\circ}\, =\, 59.76^{\circ}\end{array} \) |
| Total | 1,200 | 360° | 1,875 | 360° | ||
Question 4
The following table shows the interest of students in a school in different games.
| Games | Table Tennis | Volleyball | Hockey | Basketball | Cricket |
| Number 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 sub-divided bar diagram.
Solution
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