Chapter 42 Bar Chart A bar chart is a chart with rectangular bars with lengths proportional to the values that they represent. Bar charts are diagramatic representation of discrete data. A bar is a thick line whose width is shown merely for attention. In this method of data representation, the data is plotted on the x and y-axes as bars. One of the axes (normally the x-axis) of the bar diagram represents a discrete variable, while the other axis represents the scale for continuous variable. Each bar diagram has a title indicating the subject matter represented in the diagram.
Types of Bar Chart Following are the main bar charts 1. Simple bar chart A simple bar chart relates to only one variable. For example Given below chart shows the percentage distribution of total expenditure of a company 2. Sub-divided bar chart A sub-divided bar chart is used to represent various parts of total magnitude of a given variable.
Ex. 1 Find the percentage increase in sales from 2012 to 2013. Ex. 2 Find the two years between which the rate of change of cellular phones is minimum. Directions (Examples 3-4) Refer to the following bar chart and answer the questions that follow.
Ex. 3 What is the percentage increase in import between 2008-09 and 2012-13? Ex. 4 If oil imports constituted 20% of the total imports in 2010-11, then what percentage of the trade gap was due to oil (assuming that no oil is exported)? Directions (Examples 5-7) Read the following par chart carefully and answer the questions that follows
Ex. 5 In year 2005, which company had the maximum percentage unutilised capacity? Ex. 6 The TVs produced by Excel form what percentage of the total production? Ex. 7 A new company CASINO was set up in 2006 and sold 122000 pieces in that year. Due to this, the other five given companies together reduced their production by the same number of sets sold by CASINO in the ratio of their production capacities. What is the production of Excel (in thousand sets) in 2006?
Directions (Examples 8-9) These questions are based on the fallowing bar chart. Ex. 8 In 1992, if the total number of households was 403 million, then what would be the number of households having washing machine (in million)? Sol. Percentage of households having washing machine in 1992 = 65% Hence, number of households having washing machine in 1992 = Total number of households x 65% = 403 million x 65% = 261.95 million « 262 million Ex. 9 If the number of households increased from 403 million in 1992 to 600 million in 1999, then what would be the number of new telephones installed (in million)? (Assuming one telephone per household)
Fast Track Practice Exercise© Base Level Questions Directions (Q. Nos. 1-4) Study the following graph and answer the questions that follow. [SSC CPO 2009] 1. What is the ratio of the number of companies having more demand than production to the number of companies having more production than demand? (a) 2 : 3 (b) 4 : 1 (c) 2 : 2 (d) 3 : 2 2. What is the difference between average demand and average production of the five companies taken together?
(a) 1400 (b) 400 (c) 280 (d) 138 3. Demand of company D is approximately what per cent of demand of company El (a) 12% (b) 20% (c) 24% (d) 30% 4. What is the ratio of average demand to average production of companies B andD? (a) 1 : 5 (b) 2 : 5 (c) 3 : 5 (d) 4 : 5 Directions (Q. Nos. 5-9) The following histogram shows the distribution of marks of 50 students in a college. Study the graph and answer the questions given below. [SSC (10+2) 2012] The number of students, whose marks lie between 40.5 and 50.5 is (a) 15 (b) 10 (c) 5 (d) None of these 6. The class, in which the marks of maximum number of students lies, is (a) 40.5 to 50.5 (b) 50.5 to 60.5
(C) 60.5 to 70.5 (d) 70.5 to 80.5 The percentage of the students, whose marks lie between 40.5 and 60.5 is (a) 60 (b) 70 (c) 75 (d) None of these 8. A student is marked as 'qualified', if he obtain marks above 40.5 Here, the ratio of the number of qualified students to those who are not qualified, is (a) 6 : 1 (b) 7 : 1 (c) 8 : 1 (d) 9 : 1 9. The average marks of the students, number is (a) 43.5 (b) 44.5 (c) 45.5 (d) 74.7 Directions (Q. Nos. 10-13) Study the following bar diagram and answer the questions that follow. [SSCCGL2013] 10. In which two years, was the value per ton equal? (a) 2006 and 2007 (b) 2005 and 2006
(c) 2008 and 2009 (d) 2007 and 2008 11. The year, in which the percentage increase in export was maximum from its preceding year, is (a) 2009 (b) 2007 (c) 2008 (d) None of the above 12. In which year, was the value per ton minimum? (a) 2007 (b) 2009 (c) 2005 (d) 2006 13. What was the percentage drop in export quantity from 2005 to 2006? (a) 75% (b) 0% (c) 25% (d) 50% Directions (Q. Nos. 14-18) Study the following graph carefully and answer the questions that follow. [Bank Clerks 2010]
14. What is the respective ratio of the number of students passed from university A in the year 2007 and the number of students passed from university B in the year 2004? (a) 5 : 4 (b) 4 : 5 (c) 7 : 10 (d) 10 : 7 (e) None of the above 15. What is the difference between the total number of students passed from both the universities in the year 2007 together and the total number of students passed in year 2005 from both the universities together? (a) 70000 (b) 37000 (c) 7000 (d) 3700 (e) None of the above 16. What is the sum of students passed from university B in the years 2003, 2005 and 2006 together? (a) 80000 (b) 8000 (c) 800000 (d) 75000 (e) None of the above 17. Number of students passed from university B in 2008 is approximately what per cent of the total number of students passed from university A over the years? (a) 30% (b) 25% (c) 20% (d) 35% (e) 40% 18. What is the respective ratio of the number of students passed in 2007, 2008 and 2005 from university At (a) 5 : 3 : 2 (b) 3 : 5 : 5
(c) 5 : 3 : 3 (d) 5 : 1 : 1 (e) None of the above Directions (Q. Nos. 19-20) The following two questions are based on the given histogram that shows the percentage of villages in the States, which are not electrified [CPF Assistant 2012] 19. Which of the following States has twice the percentage of villages electrified in comparison to State IP. (a) A (b) C (c) E (d) F 20. How many State have atleast 50% electrified villages? (a) 1 (b) 2 (c) 3 (d) 5 Directions (Q. Nos. 21-22) Following bar diagram shows the number of families of a certain locality with various number of letters received by those families in a certain month, as shown in a survey by local post-office. Read the graph and answer the questions below. [SSC Multitasking 2013]
21. The total number of families that came under the survey is (a) 110 (b) 250 (c) 300 (d) 330 22. The average number of letters received per family in that month is Exercise © Higher SkiU Level Questions Directions (Q. Nos. 1-5) The following graph shows the production of cement (in lakh tonnes) of four factories A, B, C and D over the years. [SSCCPO2013]
1. The percentage increase in production of cement by factory B from 2008 to 2009 is about (a) 30.8 (b) 16.7 (c) 18.2 (d) 22.2 The production of cement by factory B in 2009 and production of cement by factory D in 2010 together is what per cent of production by factory A in 2008? (a) 200 (b) 50 (c) 100 (d) 150 3. Which of the four factories has recorded the maximum percentage growth in production of cement from 2008 to 2009? (a) D (b) A (c) B (d) C 4. Which of the given factories has recorded the maximum percentage growth in production of cement from 2009 to 2010? (a) D (b) A (c) B (d) C 5. The difference (in lakh tonnes) between the average production of cement by four factories in 2009 and average production by the same factories in 2008 is (a) 12.75 (b) 11.50 (c) 11.75 (d) 12.50 Directions (Q. Nos. 6-10) Study the following graph and answer the questions that follow. [Bank PO 2010]
6. What was the respective ratio between the number of candidates qualified in the written test in the year 2002 for admission in institution B and the number of candidates qualified in the written test in the year 2006 for admission to institution A? (a) 8 : 5 (b) 7 : 4 (c) 7 : 8 (d) 7 : 5 (e) 8 : 5 7. What was the approximate average number of candidates qualified in the written test for admission to institution B over all the year? (a) 4555 (b) 4200 (c) 4160 (d) 4888 (e) 4667 8. In which year, the total number of candidates qualified in the written test for admission to both the institutions together was the second highest? (a) 2003 (b) 2004 (c) 2005 (d) 2006 (e) 2007 9. What is the difference between the total number of candidates qualified in written test in the year 2006 for admission to institutions A and B together and the number of candidates qualified in written test in the year 2003 for admission to institution A1 (a) 5000 (b) 3500 (c) 1500 (d) 5500 (e) None of the above 10. What was the total number of candidates qualified in the written test for admission to institution A over all the years together? (a) 27000 (b) 26500 (c) 26000 (d) 27500 (e) None of the above Directions (Q. Nos. 11-15) Read the following bar chart carefully and answer the questions that follows.
11. Total number of cars of models P, Q and T manufacured in 2012 is (a) 245000 (b) 227500 (c) 210000 (d) 192500 (e) 157500 12. For which model the percentage rise/fall in production from 2012 to 2013 was minimum? (a) Q (b) R (c) S (d) T (e) U 13. What was the difference in the number of Q type cars produced in 2012 and that produced in 2013? (a) 35500 (b) 27000 (c) 22500 (d) 17500 (e) 16000
14. If the percentage production of P type cars in 2013 was the same as that in 2012, then the number of P type cars produced in 2013 would have been (a) 140000 (b) 132000 (c) 117000 (d) 105000 (e) 97000 15. If 85% of the S type cars produced in each year were sold by the company, how many S type cars remained unsold? (a) 7650 (b) 9350 (c) 118500 (d) 12250 (e) 13350 Directions (Q. Nos. 16-20) Study the following graph carefully to answer the questions that follow. [Bank PO 2011 ] 16. What was the average number of soldiers recruited in the navy over all the years together? (a) 25000 (b) 24000 (c) 2400 (d) 28000 (e) None of the above
17. Number of soldiers recruited in navy in the year 2009 was what percentage of number of soldiers recruited in army in the year 2006? (a) 140 (b) 150 (C) 160 (d) 180 (e) None of the above 18. If 30 % of soldiers recruited in airforce in the year 2010 was female, what is the number of males recruited in airforce in that year? (a) 63000 (b) 6300 (c) 61000 (d) 6100 (e) None of the above 19. What was the respective ratio between the number of soldiers recruited for airforce in the year 2005 and the number of soldiers recruited in army in the year 2009? (a) 2 : 15(b) 5 : 13(cJ 2 : 17 (d) 15 : 4 (e) None of the above 20. What was the approximate percentage decrease in number of soldiers recruited in army in the year 2008 as compared to the previous year? (a) 20 (b) 23 (c) 38 (d) 30 (e) 33 Answer with Solutions Exercise © Base Level Questions
5. (a) Number of students obtained marks between 40.5 and 50.5 = 15 6. (6) The maximum number of students lie in class interval (50.5 to 60.5) 7. (6) Number of students obtained marks between 40.5 and 60.5 = 15 + 20 = 35
18. (C) Required ratio = 50 : 30 : 30 = 5: 3 : 3 19. (6) State D has 40% villages electrified and State C has 80% villages electrified. Thus, correct options is (b). 20. (d) From the question, we have 6 States and only one State D doesn't meet this condition, because it has less than 50% villages electrified, it has 40% electrification. Exercise © Higher SkiU Level Questions
9. (d) Required difference = (4000 + 5000) - 3500 = 5500 10. (a) Required number of candidates (2 + 3.5 + 5 + 6 + 4 + 6.5) X 1000 = 27000 11. (c) We shall first determine the number of cars for each model produced by the Company during the two years. In 2012. Total number of cars produced = 350000 P = (30-0)% of 350000
= 30% of 350000 = 105000 Q = (45 - 30)% of 350000 = 15% of 350000 = 52500 R = (65 - 45)% of 350000 = 20% of 350000 = 70000 S = (75 - 65)% of 350000 = 10% of 350000 = 35000 T = (90 - 75)% of 350000 = 15% of 350000 = 52500 U = (100 - 90)% of 350000 = 10% of 350000 = 35000 In 2013 : Total number of cars produced = 440000. P = (40 - 0)% of 440000 = 40% of 440000 = 176000 Q = (60 - 40)% of 440000 = 20% of 440000 = 88000 R = (75 - 60)% of 440000 = 15% of 440000 = 66000 S = (85 - 75)% of 440000 = 10% of 440000 = 44000 T = (95 - 85)% of 440000 = 10% of 440000 = 44000 U = (100 - 95)% of 440000 = 5% of 440000 = 22000 Total number of cars of modesl P, Q and T manufactured in 2012 = 105000 + 52500 + 52500 = 210000 12. (6) Using the above calcualtion, the percentage change (rise/fall) in production from 2012 to 2013 for various models is
.•. Minimum percentage rise/ fall in production is in the case of model R. 13. (a) Required difference = 88000 -52500 = 35500 (using calculations from above questions No. 11) 14. (6) If the percentage production of P type cars in 2013 = Percentage production of P type cars in 2012 = 30% then, number of P type cars produced in 2013 = 30% of 440000 = 132000. 15. (c) Number of S type cars which remained unsold in 2012 = 15% of 350000 and number of S type cars which remained unsold in 2013 = 15% of 440000 /. Total number of S type cars which remains unsold = 15% of (350000 + 440000) = 15% 790000 = 118500