**Introduction to Data Handling**

**Data handling** is an important skill to learn in Class 8 mathematics. It involves organizing and analyzing data in order to draw conclusions from it. NCERT solutions for class 8 maths chapter data handling can help students learn this essential skill.

Data handling is often used in statistics. Statistics is the study of numerical data. It is used to collect, organize, and analyze data. Statistical methods can be used to draw conclusions from data. **NCERT solutions for class 8 maths chapter 5 data handling** can help students learn how to use statistical methods to analyse data. So keep reading our **NCERT Solutions for Class 8 Maths**.

**NCERT Solutions for Class 8 Maths Chapter 5- Data Handling**

The NCERT Solutions for Class 8 are important for the CBSE Board exam. Data Handling is one of the chapters in Maths that might be used in daily life. The chapter deals with different concepts related to Data Handling, like storing and retrieving data, sorting data, creating tables, finding numerical patterns and representational patterns in data.

- Data is mostly available to us in an unorganised form.
- To draw meaningful inferences from any data, you need a set of organised data.
- The frequency of items, and knowing when to calculate
- Raw data can be grouped and summarized systematically through grouped frequency distribution.
- A histogram can be used to show grouped data with the horizontal axis representing class intervals and the vertical axis showing frequency. The histograms have no gaps between them, just like there are no gaps between class intervals.
- Data can also be presented using a circle graph. This method is more appropriate when you want to show the relationship between the whole and its parts.
- These experiments which have even chances are called Randomized Experiments
- Can we predict the outcomes of random experiments?
- Decisions are impartial if they’re equally possible. Probability of an event = Number of outcomes that make an event Total number of outcomes which are all equally likely.
- Demonstrate through an example what one or more outcomes of an experiment make
- Understand how probability, luck and chance apply to the real world.

**Main topics covered in this chapter include:**

5.1 Looking for Information

5.2 Organising Data

5.3 Grouping Data

5.3.1 Bars with a difference

5.4 Circle Graph Or Pie Chart

5.4.1 Drawing pie charts

5.5 Chance and Probability

5.5.1 Getting a result

5.5.2 Equally likely outcomes

5.5.3 Linking chances to probability

5.5.4 Outcomes as events

5.5.5 Chances and Probability related to real life.

**Exercise 5.1 (Page 76 of Grade 8 NCERT)**

Question 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 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 reason for each.

Since, Histogram is a graphical representation of data, the data is represented in manner

of class- interval.

In case (i), The number of areas cannot be represented in class interval. So, we cannot use

the histogram to show the data.

In case (ii), Height of competitors can be divided into intervals. So, we can use histogram

here.**For example**:

In case (iii), Companies cannot be divided into intervals. So, we cannot use histogram

here.

In case (iv), Time for boarding the train can be divided into intervals. So, we can use

histogram here.**For example**

Question 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:**

*The illustration of data by bar-graph is as follows:*

Question 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.

**Answer: **

A frequency distribution table by using tally marks for the above data is as follows.

Question 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 Rs 850 and more?

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

#### Answer:

(i) 830 – 840 group has the maximum number of workers.

(ii) 10 workers can earn more than Rs 850.

(iii) 20 workers earn less than Rs 850.

Question 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?

#### Answer:

(i) From the graph, it can be observed that the maximum number of students (i.e., 32) watched TV for 4 − 5 hours.

(ii) The students who watched TV for less than 4 hours are the students who watched TV for 1 − 2 hours or 2 − 3 hours or 3 − 4 hours.

Hence, total number of students = 4 + 8 + 22 = 34

(iii) The students who watched TV for more than 5 hours are the students who watched TV for 5 − 6 hours or 6 − 7 hours.

Hence, total number of students = 8 + 6 = 14

**Conclusion**

We hope you found our **NCERT Solutions for Class 8 Maths Chapter 5 Data Handling** helpful. If you have any questions or suggestions, please let us know in the comments below.

**FAQs on NCERT Solutions Class 8 Maths Chapter 5 Data Handling**

**1. What is the NCERT Solutions for Class 8 Maths Chapter 5 Data Handling?**

The NCERT Solutions for Class 8 Maths Chapter 5 Data Handling is a comprehensive guide that provides step-by-step solutions to all the questions present in the chapter.

**2. How can I use the NCERT Solutions for Class 8 Maths Chapter 5 Data Handling?**

The NCERT Solutions for Class 8 Maths Chapter 5 Data Handling can be used to revise the concepts taught in the chapter and to prepare for exams.

**3. What are the features of the NCERT Solutions for Class 8 Maths Chapter 5 Data Handling?**

**Some of the features of the NCERT Solutions for Class 8 Maths Chapter 5 Data Handling are:**

– Easy to understand language

– Detailed explanations

– Step-by-step solutions

– Covers all the questions present in the chapter