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RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data

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Our RD Sharma Textbook Solutions are considered extremely helpful for solving the tough questions which are asked in the CBSE Class 9 exam. TopperLearning Textbook Solutions are compiled by subject experts. Herein, you can find all the answers to the textbook questions for Chapter 23 - Graphical Representation of Statistical Data.

All our solutions are created in accordance with the latest CBSE syllabus, and they are amended from time to time to provide the most relevant answers. Our free RD Sharma Solutions for CBSE Class 9 Mathematics will strengthen your fundamentals in Mathematics and will help you in your attempts to score more marks in the final examination. CBSE Class 9 students can refer to our solutions any time — while doing their homework and while preparing for the exam.

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RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.1

Solution 1

The given information can be represented through a pictograph as follows:

Solution 2

The given information can be represent through a pictograph as follows:

Solution 3

To 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.

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) Rajasthan

Solution 5


Solution 6


Solution 7




Solution 8


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.

Solution 10

Solution 11

Solution 12

(i) Total number of newspapers published in Hindi, English, Urdu, Punjabi and Bengali = 3700 + 3400 + 700 + 200 + 1100 = 9100.

(ii) The number of newspapers published in Hindi = 3700.

Total numbers of newspapers are published = 700 + 400 + 1000 + 200 + 1400 + 1400 + 3700 + 1100 + 3400 + 1100 = 14400

The percentage of Hindi newspapers =

= 25.69

= 25.7%  (approx)

(iii) The excess of the number of newspapers published in English over those published in Urdu = 3400 700

= 2700.

(iv) Bengali, Gujrati and Marathi, Malayalam are the two pairs of languages which publish the same number of newspapers.

(v) Punjabi is the language in which the smallest number of newspapers are published.

(vi) Hindi is the language in which the largest number of newspapers are published.

(vii) English is the language in which the number of newspapers published in between 2500 and 3500.

(viii)

(a) Total number of newspapers published in Malayalam and Marathi = 1400 + 1400 = 2800

Number of newspapers published in English = 3400.

The number of newspapers published in Malayalam and Marathi together is less than those published in English.

So, the given statement is true.

(b) Number of newspapers published in Telgu = 400

Number of newspapers published in Tamil = 1000

 The number of newspapers published in Telgu is less than those published in Tamil.

So, the given statement is false.

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.

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.

Solution 15

Solution 16

Solution 17

Solution 18


RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.2

Solution 1

The 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.

Solution 2

Solution 3

(i) (b) VI, IX

(ii) (a) VII

(iii) (b) VII

Solution 4


Solution 5


Solution 6


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.

Solution 8


Solution 9


Solution 10


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.

Solution 12

The bar graph of the given bata:


The course where estimated requirement is least is DCE

Solution 13


Solution 14


Solution 15

The bar graph of the given data:



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

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.

Solution 17


Solution 18


RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.3

Solution 1



Solution 2


Solution 3

Solution 4



Solution 5



Solution 6

The following table is useful to make the frequency polygon:

Class Intervals Class Limits Frequency
55.5 62.5 59 0
62.5 69.5 66 1
69.5 76.5 73 3
76.5 83.5 80 5
83.5 90.5 87 15
90.5 97.5 94 12
97.5 104.5 101 10
104.5 111.5 108 6
111.5 118.5 115 4
118.5 125.5 122 3
125.5 132.5 129 1
132.5 139.5 136 0



Solution 7



Solution 8



RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.42

Solution 1

Bar graphs, Histogram, Frequency polygon are methods of graphical representation of statistical data.

A Bar graph is a pictorial representation of the numerical Data. while Histogram is a graphical representation

of a Frequency distribution in the form of rectangles.

A Frequency polygon of a given Frequency distribution is another method of representing frequency distribution graphically.

But a cumulative frequency distribution is a table in which cumulative frequencies are distributed over various classes.

Thus, Cumulative frequency distribution is not a method of graphical representation.

Hence, correct option is (d).

Solution 2

A curve that Represents the cumulative Frequency distribution of grouped data is called an ogive or cumulative frequency curve.

Hence, correct option is (c)

Solution 3

A Frequency Polygon is drawn by joining the mid-points of first and last class intervals to the mid-points of the imagined classes adjacent to them.

Hence, correct option is (c). 

RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.43

Solution 4

In a Histogram, the area of each rectangle is proportional to the Frequency of the corresponding class-interval.

Hence, correct option is (c).

Solution 5

In a less than type ogive, the cumulative frequency is plotted against the upper limit of the concerned class interval.

Hence, correct option is (b).

Solution 6

In a Histogram, the class-intervals are represented or taken along X-axis, and frequency on Y-axis.

Hence, correct option is (b).

Solution 7

In a Histogram, the class-intervals are represented or taken along Horizontal axis (X-axis) and frequency on Vertical axis (Y-axis).

Hence, correct option is (d).

Solution 8

In a Histogram, each class rectangle is constructed with base as (a - b) i.e. a class intervals from a to b ..... b to c etc.

Hence, correct option is (b).

TopperLearning provides step-by-step solutions for each question in each chapter in the RD Sharma textbook for class 9. Access the CBSE Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data for free. The textbook questions have been solved by our subject matter experts to help you understand how to answer them. Our RD Sharma Textbook Solutions will help you to study and revise, and you can easily clear your fundamentals of Chapter 23 - Graphical Representation of Statistical Data.

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CBSE IX - Mathematics

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