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Page No 6.23:

Question 1:

From the following data relating to cement production of a factory (2011-16), prepare a simple bar diagram.

Year 2011 2012 2013 2014 2015 2016
Production (in M. Tonnes 125 175 260 310 450 520

Answer:

The given data can be presented in the form of a simple bar diagram as follows.

Page No 6.23:

Question 2:

Average wages of some frirms are given below. Represent this by Simple Bar Diagram.

Firms A B C D E
Average Wages (₹) 2,725 3,250 3,750 4,680 5,320

Answer:

Simple Bar Diagram

Page No 6.23:

Question 3:

Present the following data by multiple bar diagram.

Year B.Com. (H) Eco. (H) B. Com.(P)
2014-15 420 200 140
2015-16 320 240 300
2016-17 380 360 480

Answer:

Multiple Bar Diagram

Page No 6.23:

Question 4:

Represent the following data with the help of sub-divided bar diagram:

Year Production (in '000 tonnes)
Wheat Rice Cotton
2014 35 22 10
2015 15 25 16
2016 40 12 20

Answer:

Year Production (in '000 tonnes) Total
Wheat Rice Cotton
2014
2015
2016
35
15
40
22
25
12
10
16
20
67
56
72


Page No 6.23:

Question 5:

Represent the data relating to the cost of production in a factory by means of percentage diagram:

Element of Cost
(in '000 tonnes
Items
A B C
Raw Materials 75 55 60
Wages 45 30 25
Factory overheads 15 10 30
Office overheads 5 15 5

Answer:

Element of cost Firm
A
Percentage(%)
Cost
Firm
B
Percentage(%)
Cost
Firm
C
Percentage(%)
Cost
Raw material
Wages
Factory overhead
Office overhead
75
45
15
5
53.57
32.14
10.71
3.58
55
30
10
15
50
27.27
9.09
13.64
60
25
30
5
 50.00
20.83
25.00
4.17
Total 140 100 110 100 120 100



Page No 6.24:

Question 6:

From the following data of imports of a firm, prepare a suitable diagram.

Year 2011 2012 2014 2015 2016
Imports (₹ in Lakhs) 16 22 34 170 25

Answer:

Broken- Scale Bar Diagram


Page No 6.24:

Question 7:

Represent the following data relating to net exports of a company by deviation bar diagram.

Year 2011 2012 2013 2014 2015 2016
Net Exports (₹ in Crores) 250 160 (−)80 50 (−)110 70

Answer:

Deviation Bar Diagram


Page No 6.24:

Question 8:

the estimated percentage break-up of the cost of construction of a house (excluding cost of land) is as follows:

Labour Bricks Cement Steel & Timber Marble Miscellaneous
20% 12% 25% 15% 13% 15%
Construct a pie diagram to represent the given data.

Answer:

The percentage values are converted into degree values using the following formula.
Degree share= Percentage share100×360                    = Percentage share ×3.6
 

Items Expenditure
(in percent)

 
Degree Share
Labour
Bricks
Cement
Steel and timber
Marble
Miscellaneous
20
12
25
15
13
15
20 × 3.6 = 72°
12 × 3.6 = 43.2°
25 × 3.6 = 90°
15 × 3.6 = 54°
13 × 3.6 = 46.8°
15 × 3.6 = 54°
    360°

Page No 6.24:

Question 9:

Draw two pie diagrams to represent the marks obtained by Isha and Utkarsh (out of 50) in an examination.

Subject Isha Utkarsh
Maths 40 37
Economics 35 45
Accounts 45 40
Commerce 46 34
English 34 44

Answer:

The percentage values are converted into degree values using the following formula.
Degree share= Percentage share100×360                    = Percentage share ×3.6

Subject Marks obtained by Isha Percentage Value Degree Share
Maths 40 40200×100=20 20 × 3.6 = 72°
Economics 35 35200×100=17.5 17.5 × 3.6 = 63°
Accounts 45 45200×100=22.5 22.5 × 3.6 = 81°
Commerce 46 46200×100=23 23 × 3.6 = 82.8°
English 34 34200×100=17 17 × 3.6 = 61.2°
Total 200   360°






 
Subject Marks obtained by Utkarsh Percentage Value Degree Share
Maths 37 37200×100=18.5 18.5 × 3.6 = 66.6°
Economics 45 45200×100=22.5 22.5 × 3.6 = 81°
Accounts 40 40200×100=20 20 × 3.6 = 72°
Commerce 34 34200×100=17 17 × 3.6 = 61.2°
English 44 44200×100=22 22 × 3.6 = 79.2°
Total 200   360°

Page No 6.24:

Question 10:

Represent the following data with help of pie diagram.

Items Rent Food Clothing Transportation Recreation Savings Others
Expenditure (in percent) 20% 25% 22% 15% 8% 6% 4%

Answer:

The percentage values are converted into degree values using the following formula.
Degree share= Percentage share100×360                    = Percentage share ×3.6

 

Items  Expenditure
(in percent)

 
Degree Share
Rent
Food
Clothing
Transportation
Recreation
Savings
Others
20
25
22
15
8
6
4
20 × 3.6 = 72
25 × 3.6 = 90
22 × 3.6 = 79.2
15 × 3.6 = 54
8 × 3.6 = 28.8
6 × 3.6 = 21.6
4 × 3.6 = 14.4
Total   360°


Page No 6.24:

Question 11:

The following table gives the number of tyres manufactured by a company for different years.

Year No. Tyres Produced
2012-13 5,000
2013-14 7,500
2014-15 11,000
2015-16 15,600
2016-17 16,000
Present the data with help of a suitable diagram.

Answer:

The given data can be presented in the form of a simple bar diagram as follows.



Page No 6.25:

Question 12:

the following table gives the number of students appearing at the various examination from a college in 2014, 2015 and 2016.

Year 2014 2015 2016
B.A. 250 300 175
B.B.A 425 450 510
B.Com. 175 220 240
Represent the data by a suitable diagram.

Answer:


Page No 6.25:

Question 13:

The following table gives the monthly expenditure of two families A and B. Represent them by means of sub-divided bar diagram and percentage diagram.

Items of Expenditure Family A (income: ₹ 50,000) Family B (Income: 80,000)
Food 15,000 23,000
Clothing 9,000 17,000
House Rent 11,000 11,000
Education 5,000 9,000
Fuel and Lighting 4,000 13,000
Miscellaneous 6,000 7,000

Answer:

Items of Expenditure Family A
(Income: Rs 50,000)
Percentage (%)
Expenditure
Family B
(Income: Rs 80,000)
Percentage
(%)
Expenditure


Food


Clothing


House Rent


Education


Fuel and Lighting


Miscellaneous

 
15000


9000


11000


5000


4000


6000
1500050000×100= 30

900050000×100=18

1100050000×100=22

500050000×100=10

400050000×100=8

600050000×100=12
23000


17000


11000


9000


13000


7000
2300080000×100=28.75

1700080000×100=21.25

1100080000×100=13.75

900080000×100=11.25

1300080000×100=16.25

700080000×100=8.75
Total 50,000 100 80,000 100


Sub-divided bar Diagram:




Percentage Diagram:


Page No 6.25:

Question 14:

Draw a pie diagram to represent the area of the oceans of world.

Ocean Pacific Atlantic Indian Antarctic Arctic
Area (Millions sq. km. 70.8 41.2 28.5 7.6 4.8

Answer:

The percentage values are converted into degree values using the following formula.
Degree share= Percentage share100×360                    = Percentage share ×3.6

 

Ocean Area Percentage
Area
Degree Share
Pacific 70.8 70.8152.9×100=46.30 46.30 × 3.6 = 166.69
Atlantic 41.2 41.2152.9×100=26.95 26.95 × 3.6 = 97.02
Indian 28.5 28.5152.9×100=18.64 18.64 × 3.6 = 67.10
Antarctic 7.6 7.6152.9×100=4.97 4.97 × 3.6 = 17.89
Arctic 4.8 4.8152.9×100=3.14 3.14 × 3.6 = 11.304
Total 152.9 100 360°




Page No 6.25:

Question 15:

The following data shows the profits earned by Company A and Company B for the year 2013-14 to 2016-17. Present the data with the help of suitable diagram.

Year Company A (in ₹ '000) Company B (in ₹ '000)
2013-14 225 160
2014-15 310 240
2015-16 450 380
2016-17 575 600

Answer:


Page No 6.25:

Question 16:

Represent the following data by Pie diagram.

Items of Expenditure Family A Family B Family C
Food 12,000 30,000 40,000
Clothing 3,500 14,000 10,000
Education 2,000 7,000 3,000
House Rent 1,500 3,000 2,000
Miscellaneous 5,000 6,000 5,000

Answer:



For family A

 

Items of Expenditure Family A Percentage expenditure Degree Share
Food 12000 1200024000×100=50 50 × 3.6 = 180
Clothing 3500 350024000×100=14.58 14.58 × 3.6 = 52.49
Education 2000 200024000×100=8.33 8.33 × 3.6 = 29.99
House Rent 1500 150024000×100=6.25 6.25 × 3.6 = 22.5
Miscellaneous 5000 500024000×100=20.84 20.84 × 3.6 = 70.02


For family B
 
Items of Expenditure Family B Percentage expenditure Degree Share
Food 30000 3000060000×100=50 50 × 3.6 = 180
Clothing 14000 1400060000×100=23.33 23.33 × 3.6 = 83.99
Education 7000 700060000×100=11.67 11.67 × 3.6 = 42.01
House Rent 3000 300060000×100=5 5 × 3.6 = 18
Miscellaneous 6000 600060000×100=10 10 × 3.6 = 36



For family C
 
Items of Expenditure Family C Percentage expenditure Degree Share
Food 40,000 4000060000×100=66.67 66.67 × 3.6 = 240.01
Clothing 10,000 1000060000×100=16.67 16.67 × 3.6 = 60.01
Education 3,000 300060000×100=5 5 × 3.6 = 18
House Rent 2,000 200060000×100=3.33 3.33 × 3.6 = 11.99
Miscellaneous 5,000 500060000×100=8.33 8.3 × 3.6 = 29.99



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