NCERT Solutions for Class 8 Maths Chapter 5- Data Handling Exercise 5.1

The CBSE Class 8 Chapter 5 Data Handling has a total of 3 exercises. The pdf containing the NCERT Solutions of the first exercise, Exercise 5.1, is available here. The solution, apart from the pdf format, is also available below. At BYJU’S, the subject experts solve the questions with utmost care, giving proper representation and clear, easy to understand graphs.

NCERT textbook contains plenty of questions in it, intended for the students to solve and practice. To score high marks in the Class 8 board examination, solving and practicing the NCERT solutions for Class 8 Maths is a must.

Download PDF of NCERT Solutions for Class 8 Maths Chapter 5- Data Handling Exercise 5.1

 

ncert solutions for class 8 maths chapter 5 ex 1 1
ncert solutions for class 8 maths chapter 5 ex 1 2
ncert solutions for class 8 maths chapter 5 ex 1 3

 

Access other exercise solutions of Class 8 Maths Chapter 5- Data Handling

Exercise 5.2 Solutions 5 Questions (3 Long Answer Questions, 2 Short Answer Questions)

Exercise 5.3 Solutions 6 Questions (2 Long Answer Questions, 4 Short Answer Questions)

Access Answers of Maths NCERT Class 8 Chapter 5- Data Handling Exercise 5.1 Page Number 76

1. For which of these would you use a histogram to show the data:

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7.00 a.m. to 7.00 p.m. at a station. Give reason for each.

Solution:

We know that Histogram is a graphical representation of data if the data represented using class- interval.

Since the cases mentioned in options (b) and (d) can be divided into class intervals, histogram can be used to show the data.

Similarly, since the cases mentioned in options (a) and (c) cannot be divided into class intervals, histogram cannot be used to represent the data.

2. The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.

W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W M W G W M G W M M B G G W.

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

Solution:

NCERT Solution For Class 8 Maths Chapter 5- 1Frequency distribution table:

Bar-graph:

NCERT Solution For Class 8 Maths Chapter 5- 2

3. The weekly wages (in ₹) of 30 workers in a factory are:

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808,

812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.

Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.

Solution:

NCERT Solution For Class 8 Maths Chapter 5- 3The frequency table with intervals as 800 – 810, 810 – 820 and so on, using tally marks is given below:

4. Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(i) Which group has the maximum number of workers?

(ii) How many workers earn ₹ 850 and more?

(iii) How many workers earn less than ₹ 850?

Solution:

NCERT Solution For Class 8 Maths Chapter 5- 4

(i) 830-840 is the group having maximum number of workers, 9, compared to other groups.

(ii) Workers earning ₹ 850 and more= 1+3+1+1+4=10

(iii) Workers earning ₹ 850 and more= 3+2+1+9+5=20

5. The number of hours for which students of a particular class watched television during holidays is shown through the given graph.

Answer the following:

(i) For how many hours did the maximum number of students watch T.V.?

(ii) How many students watched TV for less than 4 hours?

(iii) How many students spent more than 5 hours in watching TV?

NCERT Solution For Class 8 Maths Chapter 5- 5

Solution:

(i) 32 students watched T.V for 4-5 hours. ∴, The maximum number of students who watched T.V. for 4 – 5 hours.

(ii) The number of students who watched T.V. less than 4 hours= 22+8+4=34

(iii) The number of students who spent more than 5 hours in watching TV

=8+6=14


Representation of data is the base of the Exercise 5.1, Class 8 NCERT Maths Chapter 5, Data Handling.There are 5 Main Questions in this exercise. The first, fourth and fifth questions contain sub-questions, all related to representation of data. The Exercise 5.1 deals with 3 main concepts. The three main concepts that forms the base of the first exercise of Chapter 5 are:

  • Graphical representation of data
    • Pictograph: Pictorial representation of data using symbols
    • Bar Graph: Display of information using bars of uniform width, the heights of the bars being proportional to the respective values.
    • Double Bar Graph: Bar graph showing two sets of data simultaneously.
  • Organising Data
    • Organizing data using frequency distribution table.
  • Grouping Data
    • Grouping data using grouped frequency distribution.

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