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# RD Sharma Solution for Class 9 Mathematics Chapter 22 - Tabular Representation of Statistical Data

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 22 - Tabular 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.

Exercise/Page

## RD Sharma Solution for Class 9 Mathematics Chapter 22 - Tabular Representation of Statistical Data Page/Excercise 22.1

Solution 1

Solution 2

Solution 3

Solution 4

The data obtained in original form are called raw data. Raw data does not give any useful information and is rather confusing to mind. Data is grouped so that it becomes understandable and can be interpreted. We form groups according to various characteristics. After grouping the data, we are in a position to make calculations of certain values which will help us in describing and analysing the data.

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

The final marks in mathematics of 30 students are as follows:

53,61,48,60,78,68,55,100,67,90,75,88,77,37,84,58,60,48,62,56,44,58,52,64,98,59,70,39,50,60

(i)

 Group I(30-39) II(40-49) III(50-59) IV(60-69) V(70-79) VI(80-89) VII(90-99) VIII(100-109) Observations 37, 39 44, 48, 48 50, 52, 53, 55, 56, 58, 58, 59 60, 60, 60, 61, 62, 64, 67, 68 70, 75, 77, 78 84, 88 90, 98 100

(ii) Highest score = 100

(iii) Lowest score = 37

(iv) Range = 100 - 37 = 63

(v) If 40 is the pass mark, 2 students have failed.

(vi) 8 students have scored 75 or more.

(vii) Observations 51, 54, 57 between 50 and 60 have not actually appeared.

(viii) 5 students have scored less than 50.

Solution 10

Solution 11

The numbers of runs scored by a player in 25 innings:

26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47.

(i) Runs in ascending order:- 0,0,0,15,26,34,35,39,42,42,47,48,48,53,54,64,64,67,71,82,84,94,105,124,139

(ii) The highest score = 139

(iii) The player did not score any run 3 times.

(iv) He scored 3 centuries.

(v) He scored more than 50 runs 12 times.

Solution 12

Solution 13

(i)

(ii)

(iii)

Solution 14

 Number of children Tally marks Number of families 0 5 1 ll 7 2 ll 12 3 5 4 l 6 5 lll 3 6 lll 3

Solution 15

 Marks Tally marks Frequency 20 - 30 l 1 30 - 40 lll 3 40 - 50 5 50 - 60 lll 8 60 - 70 lll 8 70 - 80 llll 9 80 - 90 llll 4 90 - 100 ll 2 Total = 40

Solution 16

 Heights (in cm) Tally marks Frequency 145 - 149 llll 4 150 - 154 llll 9 155 - 159 ll 12 160 - 164 5 Total = 30

Solution 17

 Height (in cm) Tally marks Frequency 800 - 810 lll 3 810 - 820 ll 2 820 - 830 l 1 830 - 840 lll 8 840 - 850 5 850 - 860 l 1 860 - 870 lll 3 870 - 880 l 1 880 - 890 l 1 890 - 900 5 Total = 30

Solution 18

 Maximum temperature (in degree Celsius) Tally marks Frequency 20.0 - 21.0 l 6 21.0 - 22.0 5 22.0 - 23.0 llll 9 23.0 - 24.0 5 24.0 - 25.0 lll 3 25.0 - 26.0 ll 2 Total = 30

Solution 19

 Monthly wages (in rupees) Tally marks Frequency 210 - 230 llll 4 230 - 250 llll 4 250 - 270 5 270 - 290 lll 3 290 - 310 ll 7 310 - 330 5 Total = 28

Solution 20

Here 9 students  have blood groups  A, 6 as B, 3 as AB and 12 as O.
So, the table representing the data is as follows:

 Blood group Number of students A 9 B 6 AB 3 O 12 Total 30

As 12 students have the blood group O and 3 have their blood group as AB. Clearly, the most common blood group among these students is O and the rarest blood group among these students is AB.

Solution 21

By observing the data given above following frequency distribution table can be constructed

 Number of heads Number of times (frequency) 0 6 1 10 2 9 3 5 Total 30

Solution 22

(i) Class intervals will be 0 - 5, 5 - 10, 10 -15.....
The grouped frequency distribution table is as follows:

 Hours Number of children 0 - 5 10 5 - 10 13 10 - 15 5 15 - 20 2 Total 30

(ii) The number of children, who watched TV for 15 or more hours a week
is 2 (i.e. number of children in class interval 15 - 20).

Solution 23

Since first class interval is -19.9 to -15

Frequency distribution with lower limit included and upper limit excluded is:

 Temperature Tally marks Frequency -19.9 to -15 ll 2 -15 to -10.1 ll 7 -10.1 to -5.2 5 -5.2 to -0.3 llll 4 -0.3 to 4.6 ll 17 Total 35

## RD Sharma Solution for Class 9 Mathematics Chapter 22 - Tabular Representation of Statistical Data Page/Excercise 22.2

Solution 1

Solution 2

Solution 3

Solution 4

 Age (in years): No. of patients Age (in years) Cumulative frequency 10 - 20 90 Less than 20 90 20 - 30 50 Less than 30 140 30 - 40 60 Less than 40 200 40 - 50 80 Less than 50 280 50 - 60 50 Less than 60 330 60 - 70 30 Less than 70 360 N = 360

Solution 5

Solution 6

Solution 7

Solution 8

(i)

 Consumption (in kW) No. of Factories Class interval Frequency Below 240 1 0 - 240 1 Below 270 4 240 - 270 4 - 1 = 3 Below 300 8 270 - 300 8 - 4 = 4 Below 330 24 300 - 330 24 - 8 = 16 Below 360 33 330 - 360 33 - 24 = 9 Below 390 38 360 - 390 38 - 33 = 5 Below 420 40 390 - 420 40 - 38 = 2

(ii)

 Class interval Frequency Consumption (in kW) No. of factories 0 - 240 1 More than 0 40 240 - 270 3 More than 270 40 - 1 = 39 270 - 300 4 More than 270 39 - 3 = 36 300 - 330 16 More than 300 36 - 4 = 32 330 - 360 9 More than 330 32 - 16 = 16 360 - 390 5 More than 360 16 - 9 = 7 390 - 420 2 More than 390 7 - 5 = 2 More than 420 2 - 2 = 0 N = 40

Solution 9

## RD Sharma Solution for Class 9 Mathematics Chapter 22 - Tabular Representation of Statistical Data Page/Excercise 22.26

Solution 1

When observations are large, it may not be easy to find the frequencies by simple counting.

So, we make use of tally marks.

Thus, Tally marks are used to find frequency.

Hence, correct option is (c).

Solution 2

The difference between the highest and lowest value of observations is called 'Range' of observations.

Hence, correct option is (c).

Solution 3

The difference between the upper class limit and the lower class limit is called class size.

Hence, correct option is (b).

Solution 4

Since, 10 - 20, 20 - 30 are Exclusive Class Intervals, the upper limit of a class is not included in the class.

Thus, 20, will be taken in the class 20 - 30.

Hence, correct option is (b).

Solution 5

Solution 6

## RD Sharma Solution for Class 9 Mathematics Chapter 22 - Tabular Representation of Statistical Data Page/Excercise 22.27

Solution 7

The number of times a particular item occurs in a given data is called its Frequency.

Hence, correct option is (b).

Solution 8

Number of classes = 9

Lower limit of the lowest class = 10.6

Width of each class = 2.5

So, Upper limit of the lowest class = 10.6 + 2.5 = 13.1

Now, Upper limit of the lowest class + Width of each class = Upper limit of the next class

Thus, we have

Upper limit of the lowest class + 8 × width of each class = Upper limit of the highest (9th) class

Upper limit of the highest (9th) class = 13.1 + 8 × 2.5 = 33.1

Hence, correct option is (b).

Solution 9

Range of observations = Highest observation - Lowest observation

= 95 - 62

= 33

Hence, correct option is (d).

Solution 10

Tally are usually marked in a bunch of 5: 4 in a vertical line and one is placed diagonally.

Hence, correct option is (c).

Solution 11

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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 22 - Tabular 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 22 - Tabular Representation of Statistical Data.

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CBSE IX - Mathematics

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