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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% |
Answer:
The percentage values are converted into degree values using the following formula.
$\mathrm{Degree}\mathrm{share}=\frac{\mathrm{Percentage}\mathrm{share}}{100}\times 360\phantom{\rule{0ex}{0ex}}=\mathrm{Percentage}\mathrm{share}\times 3.6$
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.
$\mathrm{Degree}\mathrm{share}=\frac{\mathrm{Percentage}\mathrm{share}}{100}\times 360\phantom{\rule{0ex}{0ex}}=\mathrm{Percentage}\mathrm{share}\times 3.6$
Subject | Marks obtained by Isha | Percentage Value | Degree Share |
Maths | 40 | $\frac{40}{200}\times 100=20$ | 20 × 3.6 = 72° |
Economics | 35 | $\frac{35}{200}\times 100=17.5$ | 17.5 × 3.6 = 63° |
Accounts | 45 | $\frac{45}{200}\times 100=22.5$ | 22.5 × 3.6 = 81° |
Commerce | 46 | $\frac{46}{200}\times 100=23$ | 23 × 3.6 = 82.8° |
English | 34 | $\frac{34}{200}\times 100=17$ | 17 × 3.6 = 61.2° |
Total | 200 | 360° |
Subject | Marks obtained by Utkarsh | Percentage Value | Degree Share |
Maths | 37 | $\frac{37}{200}\times 100=18.5$ | 18.5 × 3.6 = 66.6° |
Economics | 45 | $\frac{45}{200}\times 100=22.5$ | 22.5 × 3.6 = 81° |
Accounts | 40 | $\frac{40}{200}\times 100=20$ | 20 × 3.6 = 72° |
Commerce | 34 | $\frac{34}{200}\times 100=17$ | 17 × 3.6 = 61.2° |
English | 44 | $\frac{44}{200}\times 100=22$ | 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.
$\mathrm{Degree}\mathrm{share}=\frac{\mathrm{Percentage}\mathrm{share}}{100}\times 360\phantom{\rule{0ex}{0ex}}=\mathrm{Percentage}\mathrm{share}\times 3.6$
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 |
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 |
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 |
$\frac{15000}{50000}\times 100$= 30 $\frac{9000}{50000}\times 100$=18 $\frac{11000}{50000}\times 100$=22 $\frac{5000}{50000}\times 100$=10 $\frac{4000}{50000}\times 100$=8 $\frac{6000}{50000}\times 100$=12 |
23000 17000 11000 9000 13000 7000 |
$\frac{23000}{80000}\times 100$=28.75 $\frac{17000}{80000}\times 100$=21.25 $\frac{11000}{80000}\times 100$=13.75 $\frac{9000}{80000}\times 100$=11.25 $\frac{13000}{80000}\times 100$=16.25 $\frac{7000}{80000}\times 100$=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.
$\mathrm{Degree}\mathrm{share}=\frac{\mathrm{Percentage}\mathrm{share}}{100}\times 360\phantom{\rule{0ex}{0ex}}=\mathrm{Percentage}\mathrm{share}\times 3.6$
Ocean | Area | Percentage Area |
Degree Share |
Pacific | 70.8 | $\frac{70.8}{152.9}\times 100=46.30$ | 46.30 × 3.6 = 166.69 |
Atlantic | 41.2 | $\frac{41.2}{152.9}\times 100=26.95$ | 26.95 × 3.6 = 97.02 |
Indian | 28.5 | $\frac{28.5}{152.9}\times 100=18.64$ | 18.64 × 3.6 = 67.10 |
Antarctic | 7.6 | $\frac{7.6}{152.9}\times 100=4.97$ | 4.97 × 3.6 = 17.89 |
Arctic | 4.8 | $\frac{4.8}{152.9}\times 100=3.14$ | 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 | $\frac{12000}{24000}\times 100=50$ | 50 × 3.6 = 180 |
Clothing | 3500 | $\frac{3500}{24000}\times 100=14.58$ | 14.58 × 3.6 = 52.49 |
Education | 2000 | $\frac{2000}{24000}\times 100=8.33$ | 8.33 × 3.6 = 29.99 |
House Rent | 1500 | $\frac{1500}{24000}\times 100=6.25$ | 6.25 × 3.6 = 22.5 |
Miscellaneous | 5000 | $\frac{5000}{24000}\times 100=20.84$ | 20.84 × 3.6 = 70.02 |
For family B
Items of Expenditure | Family B | Percentage expenditure | Degree Share |
Food | 30000 | $\frac{30000}{60000}\times 100=50$ | 50 × 3.6 = 180 |
Clothing | 14000 | $\frac{14000}{60000}\times 100=23.33$ | 23.33 × 3.6 = 83.99 |
Education | 7000 | $\frac{7000}{60000}\times 100=11.67$ | 11.67 × 3.6 = 42.01 |
House Rent | 3000 | $\frac{3000}{60000}\times 100=5$ | 5 × 3.6 = 18 |
Miscellaneous | 6000 | $\frac{6000}{60000}\times 100=10$ | 10 × 3.6 = 36 |
For family C
Items of Expenditure | Family C | Percentage expenditure | Degree Share |
Food | 40,000 | $\frac{40000}{60000}\times 100=66.67$ | 66.67 × 3.6 = 240.01 |
Clothing | 10,000 | $\frac{10000}{60000}\times 100=16.67$ | 16.67 × 3.6 = 60.01 |
Education | 3,000 | $\frac{3000}{60000}\times 100=5$ | 5 × 3.6 = 18 |
House Rent | 2,000 | $\frac{2000}{60000}\times 100=3.33$ | 3.33 × 3.6 = 11.99 |
Miscellaneous | 5,000 | $\frac{5000}{60000}\times 100=8.33$ | 8.3 × 3.6 = 29.99 |
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