NCERT Solutions Class 8 Maths Chapter 4 Data Handling Exercise 4.1

The NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.1 focus on interpreting and presenting data. This exercise is an introductory learning about the strategies in which data is treated in Maths. This exercise teaches the rules of data collection and data presentation appropriate for Maths and in real life. 

The solutions follow the current NCERT syllabus and are prepared in a student friendly way for easier understanding. Practicing these helps in strengthening key concepts required for exams and higher classes. They also help students while attempting competitive exams like the olympiads.

1.0Download NCERT Solutions Class 8 Maths Chapter 4 Data Handling Exercise 4.1: Free PDF

Exercise 4.1 presents organizing data and interpreting bar graphs. The NCERT Solutions for Class 8 Maths Chapter 4 are explained in simple steps to help with quick learning. Click on the link below to download the free PDF:

2.0Key Concepts in Exercise 4.1 of Class 8 Maths Chapter 4

This exercise helps students learn the basics of handling data. It focuses on simple and important concepts like:

• Organising data using frequency tables
• Understanding and reading bar graphs
• Interpreting real-life data from charts
• Comparing data using graphical methods

3.0NCERT Class 8 Maths Chapter 4: Other Exercises

4.0NCERT Class 8 Maths Chapter 4 Exercise 4.1: Detailed Solutions

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 am to 7:00 pm at a station.

Give reasons for each.

Sol. In (b) and (d), data can be divided into class intervals. So, their histograms can be drawn.

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

Sol. We arrange the data in a table using tally marks as

The bar graph of the above data is as under

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.

Sol. Let us make a grouped frequency table as under:

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?

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

Sol.

(i) 830-840 group has max. no. of workers.

(ii) 10

(iii) 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 spend more than 5 hours in watching TV ?

Sol. Clearly from the given histogram, we find that

(i) The maximum number of students watch TV for 4-5 hours.

(ii) The number of students who watch TV for less than 4 hours are 4+8+22=34.

(iii) The number of students who spend more than 5 hours in watching TV are 8+6= 14.

5.0Key Features and Benefits of Class 8 Maths Chapter 4 Exercise 4.1

• The exercise is in accordance with the latest NCERT syllabus and adheres to updated exam pattern. 
• They include practical questions and connect Maths with real-life data examples.
• The NCERT Solutions are clearly explained with some examples and are written in a step by step manner.
• They help develop data interpretation skills for CBSE exams and Maths Olympiads. 
• Practicing these questions help students learn how to communicate data in a clear and organised manner.  
• It also improves logical thinking and develops confidence when tackling Maths problems.