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 NCERT solutions, apart from the PDF format, are also available in the text format below. At BYJU’S, the subject experts solve the questions with the utmost attention, giving proper representation and clear, easy-to-understand graphs.
The NCERT textbook contains plenty of questions in it intended for the students to solve and practise. To score high marks in the Class 8 examination, solving and practising the NCERT Solutions for Class 8 Maths are important.
NCERT Solutions for Class 8 Maths Chapter 5 – Data Handling Exercise 5.1
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 of 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 a reason for each.
Solution:
We know that a Histogram is a graphical representation of data if the data is represented using class interval.
Since the cases mentioned in options (b) and (d) can be divided into class intervals, a histogram can be used to show the data.
Similarly, since the cases mentioned in options (a) and (c) cannot be divided into class intervals, a 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 of 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:
Frequency distribution table:
Bar-graph:
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:
The 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:
(i) 830-840 is the group having a maximum number of workers, 9, compared to other groups.
(ii) Workers earning ₹ 850 and more= 1+3+1+1+4=10
(iii) Workers earning less than ₹ 850= 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 TV?
(ii) How many students watched TV for less than 4 hours?
(iii) How many students spent more than 5 hours in watching TV?
Solution:
(i) 32 students watched TV for 4-5 hours. ∴, The maximum number of students who watched TV for 4-5 hours.
(ii) The number of students who watched TV less than 4 hours= 22+8+4=34
(iii) The number of students who spent more than 5 hours watching TV
=8+6=14
Representation of data is the base of 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 the representation of data. Exercise 5.1 deals with 3 main concepts. The three main concepts that form 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
- Organising data using frequency distribution table.
- Grouping Data
- Grouping data using grouped frequency distribution.
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