RD SHARMA SOLUTION CHAPTER -23 Graphical Representation of Statistical Data| CLASS 9TH MATHEMATICS-EDUGROWN

Table of Contents

Chapter 23 – Graphical Representation of Statistical Data Exercise Ex. 23.1

Question 1The following table shows the daily production of T.V. sets in an industry for 7 days a week:

Day	Mon	Tue	Wed	Thurs	Fri	Sat	Sun
No. of T.V. sets	300	400	150	250	100	350	200

Represent the above information by a pictograph.Solution 1The given information can be represented through a pictograph as follows:

Question 2The following table shows the number of Maruti cars sold by five dealers in a particular month:

Dealer	Saya	Bagga Links	D.D. Motors	Bhasin Motors	Competent
Cars sold	60	40	20	15	10

Represent the above information by a pictograph.Solution 2The given information can be represent through a pictograph as follows:

Question 3The population of Delhi State in different census years is as given below:

Census Year	1961	1971	1981	1991	2001
Population In Lakhs	30	55	70	110	150

Represent the above information with the help of bar graph.Solution 3To represent the data by a bar graph, draw horizontal and vertical axes. Mark census year on the horizontal axis and the population on the vertical axis.

Question 4Read the bar graph shown in figure and answer the following questions:

(i) What is the information given by the bar graph?

(ii) How many tickets of Assam state lottery were sold by the agent?

(iii) Of which state, were the maximum number of tickets sold?

(iv) State whether true or false.

The maximum number of tickets sold is three the minimum number of tickets sold.

(v) Of which state were the minimum number of tickets sold?

Solution 4(i) The given bar graph represents the number of tickets of different state lotteries sold by an agent on a day.

(ii) The number of tickets of Assam state lottery sold by the agent is 40.

(iii) Haryana

(iv) The minimum number of tickets sold = 20

The maximum number of tickets sold = 100

So, the given statement is false.

(v) RajasthanQuestion 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Read the following bar graph and answer the following questions:

(i) What information is given by the bar graph?

(ii) Which state is the largest producer of rice?

(iii) Which state is the largest producer of wheat?

(iv) Which state has total production of rice and wheat as its maximum?

(v) Which state has total production of wheat and rice minimum?

Solution 9

(i) It gives information regarding rice and wheat production in various states of India.

(ii) W.B is the largest produer of rice.

(iii) U.P is the largest producer of wheat.

(iv) The total production of rice and wheat is maximum in U.P.

(v) The total production of rice and wheat is minimum in Maharashtra.Question 10

Solution 10

Question 11

Solution 11

Question 13Read the bar graph given in fig., and answer the following questions:

(i) What information is given by the bar graph?

(ii) What was the crop-production of rice in 1970-71?

(iii) What is the difference between the maximum and minimum production of rice?

Solution 13(i) It gives information regarding the production of rice crop in India in different years.

(ii) The crop-production of rice in 1970-71 = 42.5 lakh tonnes.

(iii) The difference between the maximum and minimum production of rice = 55 – 22 = 33 lakh tonnes.Question 14Read the bar graph given fig., and answer the following questions:

(i) What information does it give?

(ii) In which part the expenditure on education is maximum in 1980?

(iii) In Which part the expenditure has gone up from 1980 to 1990?

(iv) In which part the gap between 1980 and 1990 is maximum?

Solution 14(i) It gives the information about the public expenditure on education by various state subcontinents.

(ii) In Africa the expenditure on edcation is maximum in 1980.

(iii) In East Africa the expenditure has gone by from 1980 to 1990.

(iv) In Africa the gap between 1980 and 1990 is maximum.Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Chapter – Exercise

SolutionSolution

Chapter 23 – Graphical Representation of Statistical Data Exercise Ex. 23.2

Question 1Explain the reading and interpretation of bar graphs.Solution 1The first step in reading a bar graph is to know what it represents or what is the information given by it. For this, we read the captions which are generally written just below the horizontal line (x-axis) and adjacent to vertical line (y-axis). After knowing that what does a bar graph represent, we read the scale so that we can know the precise values in the given data.

After reading a bar graph one must be able to draw certain condusions from it. Drawing some condusions from a given bar graph means interpretation of the bar graph.Question 2

Solution 2

Question 3The following bar graph shows the results of an annual examination in a secondary school.

Read the bar graph (fig.,) and choose the correct alternative in each of the following

(i) The pair of classes in which the results of boys and girls are inversely proportional are:

(a) VI, VIII

(b) VI, IX

(c) VIII, IX

(d) VIII, X

(ii) The class having the lowest failure rate of girls is

(a) VII

(b) X

(c) IX

(d) VIII

(iii) The class having the lowest pass rate of students is

(a) VI

(b) VII

(c) VIII

(d) IXSolution 3(i) (b) VI, IX

(ii) (a) VII

(iii) (b) VIIQuestion 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7The following data gives the amount of loans (in croroes of rupees) disbursed by a bank during some years:

Year	1992	1993	1994	1995	1996
Loan (in crores of rupees)	28	33	55	55	80

(i) Represent the above data with the help of a bar graph.

(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.Solution 7

(i) Bar graph for the given data is as follows:

(ii) In 1995, the amount of loan is not increased over that of the preceeding year.Question 8The following table shows the interest paid by a company (in lakhs):

Year	1995-96	1996-97	1997-98	1998-99	1999-2000
Interest (in lakhs of rupees)	20	25	15	18	30

Draw the bar graph to represent the above information.Solution 8

Question 9The following data shows the average age of men in various countries in a certain year:

Country	India	Nepal	China	Pakistan	U.K.	U.S.A.
Average age (in years)	55	52	60	50	70	75

Represent the above information by a bar graph.Solution 9

Question 10The following data gives the production of foodgrains (in thousand tonnes) for some years:

Year	1995	1996	1997	1998	1999	2000
Production (in thousand tonnes)	120	150	140	180	170	190

Represent the above data with the help of a bar graph.Solution 10

Question 11

Solution 11(i)

(ii) It is seen that the height of bar corresponding to year 1994 is the highest. Hence, the amount of manure manufactured by the company was maximum in 1994.

(iii) It is seen that the manure production decreased in the year 1995 and 1997.Question 12

Solution 12The bar graph of the given bata:

The course where estimated requirement is least is DCEQuestion 13

Solution 13

Question 14The investment (in ten crores of rupees) of Life Insurance Corporation of India in different sectors are given below:

Sectors	Investment (in ten crores of rupees)
Central Government Securities State Government Securities Securities guaranteed by the Government Private Sectros Socially oriented sectors (Plan) Socially oriented sectors (Non-Plan)	45 11 23 18 46 11

Represent the above data with the help of a bar graph.Solution 14

Question 15The following data gives the value (in crores of rupees) of the Indian export of cotton textiles for different years:

Years	1982-83	1983-84	1984-85	1985-86	1986-87
Value of Exports of Cotton Textiles (in crores of rupees)	300	325	475	450	550

Represent the above data with the help of a bar graph. Indicate with the help of a bar graph the year in which the rate of increase in exports is maximum over the preceding years.Solution 15The bar graph of the given data:

In 1986-87 the rate of increases in exports is maximum over the precending year.Question 16

Solution 16

It is seen from the graph that the quantity of goods carried in the years 1950-51 and 1965-66 are 20 crores tones and 9 crores tones. Clearly 20 is more than twice of 9. Hence, the statement is true.Question 17