# RS Aggarwal Solutions for Class 8 Maths Chapter 21 - Data Handling

RS Aggarwal Solutions for Class 8 Maths Chapter 21- Data Handling, are provided here. Our expert faculty team has prepared solutions in order to help you with your exam preparation to acquire good marks in Maths. If you wish to secure an excellent score, solving RS Aggarwal Solutions for Class 8 is an utmost necessity. These solutions will help you in gaining knowledge and strong command over the subject. Practising the textbook questions will help you in analyzing your level of preparation and knowledge of the concept.

In order to help you understand and solve the problems, we at BYJUâ€™S have designed these solutions in a very lucid and clear manner that helps students solve problems in the most efficient possible ways. RS Aggarwal Solutions for Class 8 Chapter 21 are present here with solutions solved in detail. Download pdf of Class 8 Chapter 21 in their respective links.

## Exercise 21A

1. The number of members in 20 families are given below:

4,6,5,5,4,6,3,3,5,5,3,5,4,4,6,7,3,5,5,7

Prepare a frequency distribution of die data.

Solution: Arrange the members of the families in ascending order

We get, 3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,7

âˆ´ The frequency distribution table is given below

 Number of family members Tally marks Number of Families(Frequency) 3 IIII 4 4 IIII 4 5 $\large&space;\bcancel{IIII}&space;II$ 7 6 III 3 7 II 2 TOTAL 20

2. A dice was thrown 30 times and the following outcomes were noted:

2,1,2,4,6,1,2,3,6,5,4,4,3,1,1,3,1,1,5,6,6,2,2,3,4,2,5,5,6,4

Prepare a frequency table.

Solution: Arrange the outcomes in ascending order

We get,

1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6

âˆ´ The frequency distribution table is given below

 Number of Dice Tally marks Number of Outcomes(Frequency) 1 $\large&space;\bcancel{IIII}&space;I$ 6 2 $\large&space;\bcancel{IIII}&space;I$ 6 3 IIII 4 4 $\large&space;\bcancel{IIII}$ 5 5 IIII 4 6 $\large&space;\bcancel{IIII}$ 5 TOTAL 30

## Exercise 21B

1.The marks obtained by 40 students of a class in an examination are given below:
8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34.
Prepare a frequency distribution table with equal class intervals, starting from 0-10 (where 10 is not included).

Solution:

The frequency distribution table is given below

 Marks Tally marks Number of Students(Frequency) 0-10 III 3 10-20 $\large&space;\bcancel{IIII}&space;III$ 8 20-30 $\large&space;\bcancel{IIII}$$\large&space;\bcancel{IIII}IIII$ 14 30-40 $\large&space;\bcancel{IIII}IIII$ 9 40-50 $\large&space;\bcancel{IIII}I$ 6 TOTAL 40

2. The electricity bills (in rupees) of 25 houses of a certain locality for a month are given below:
324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472.
Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from 300-400, where 400 is not included.

Solution:

The frequency distribution table is given below

 Electricity bills Tally marks Number of houses(Frequency) 300-400 $\large&space;\bcancel{IIII}$ 5 400-500 III 3 500-600 $\large&space;\bcancel{IIII}I$ 6 600-700 IIII 4 700-800 $\large&space;\bcancel{IIII}II$ 7 TOTAL 25

3. The weekly wages (in rupees) of 28 workers of a factory are given below:
668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656.
Construct a frequency table with equal class intervals, taking the first of the class intervals as 610-630, where 630 is not included.

Solution:

The frequency distribution table is given below

 Weekly Wages Tally marks Number of Workers(Frequency) 610-630 IIII 4 630-650 IIII 4 650-670 $\large&space;\bcancel{IIII}$ 5 670-690 III 3 690-710 $\large&space;\bcancel{IIII}II$ 7 710-730 $\large&space;\bcancel{IIII}$ 5 TOTAL 28

## Exercise 21C

1. The top speeds of 30 different land animals have been organized into a frequency table given below:

 Maximum speed (in km/hr.) 10-20 20-30 30-40 40-50 50-60 60-70 Number of animals 3 5 10 8 0 2

Draw a histogram for the given data.

Solution:

2. The ages (in years) of 360 patients treated in a hospital on a particular day are given below:

 Age(in years) 10-20 20-30 30-40 40-50 50-60 60-70 Number of patients 90 40 60 20 120 30

Draw a histogram for the given data. Hint: Take 10 small divisions= 10 patients

Solution:

3. Draw a histogram for the frequency distribution of the following data:

 Class interval 8-13 13-18 18-23 23-28 28-33 33-38 38-43 Frequency 320 780 160 540 260 100 80

Hint: Take 1 small division= 10

Solution:

4. Draw a histogram for the frequency distribution of the following data:

 Class interval 20-25 25-30 30-35 35-40 40-45 45-50 Frequency 320 780 160 540 260 100

Solution:

5. Draw a histogram for the following data:

 Class interval 600-640 640-680 680-720 720-760 760-800 800-840 Frequency 18 45 153 288 171 63

Hint: Take 1 small division= 3

Solution:

## RS Aggarwal Solutions for Class 8 Maths Chapter 21 – Data Handling

Chapter 21- Data Handling contains 3 exercises and the RS Aggarwal Solutions present on this page provide the solutions for the questions present in each exercise. Now, let us have a look at the concepts discussed in this Chapter.

• Frequency Distribution.
• Grouping of Data.
• Histogram.

Exercise 21A

Exercise 21B

Exercise 21C

### Chapter Brief of RS Aggarwal Solutions for Class 8 Maths Chapter 21 – Data Handling

RS Aggarwal Solutions for Class 8 Maths Chapter 21 – Data Handling, ensures that the students are thorough and familiar with the concepts. Regular revision of important concepts and formulas over time to time is the best way to strengthen your concepts.

As the Chapter is about Data Handling, here we calculate the Frequency Distribution by using Frequency table, presentation of data in groups result in Grouping of Data, drawing a Histogram using graphs. In the RS Aggarwal Solutions book, many such exercise problems are given which enhances familiarity with the concepts.