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# NCERT Solutions for Class 7 Maths Chapter 3 – Data Handling

In NCERT Solutions for Class 7 Maths Chapter 3 we will deeply study Data Handling. In Chapter 3 of Class 7 Maths, there are a total of 4 exercises and 23 questions. The Chapter covers the collection and organizing of data. The main body of the chapter is on representative values covering range, arithmetic mean, mode, and median. It also introduces the concept of chance and probability.

NCERT Solutions for Class 7 Chapter 3 ‘Data Handling’ is based on the latest syllabus approved by CBSE. Instasolv provides the most reliable study material for Class 7 Maths. Chapter-wise Solutions of NCERT Class 7 Maths Book are provided by us. These answers will help you in understanding the concepts of each Chapter better and improve your speed of solving any question of any type.

Chapter 3 Data Handling, of CBSE NCERT Class 7 Maths Book introduces you to basic statistical concepts that will be applied often in practical use. For the Maths subject in CBSE Class 7, we explain the important elements and summarise each part and subpart of the Chapter. We will follow the same sequence as in the book so that it becomes easy to understand and help as a reference for data handling class 7 questions with answers. You will be able to strengthen your concepts and score high marks in the exams.

## NCERT Solutions for Class 7 Maths Chapter 3 Data Handling: Summary

1. Introduction – Data is increasing rapidly. To bring out meaningful insights from the data, it has to be collected, screened for relevance and organized. Applicable representative values can then be applied to get results on which decisions and actions can be based. All this is part of Data Handling.

2. Collecting Data – In the current world driven by technology the amount of data being generated is enormous. Yet, we may not get the specific data we require. For data collection, it is important to understand what is the specific need for the data, and what we are going to use it to infer. Then we can segregate the data useful to us if it is already available or we will need to collect that data.

3. Organization of Data

Recording and presenting data in a manner that it is easy to understand and do further actions upon is part of the organization of data.

• Representative Values

Data comes in various forms. Each form may need a different representation based on its central value to best describe it. Further ahead different representative values are explained.

• Arithmetic Mean

Arithmetic Mean or just mean, is the most common representative value used for any group of data. It is the mathematical sum of all the observations divided by the number of observations. The mean is like the central point of any data and is the most common measure of central tendency

• Range

The spread of any data or the difference between the largest and smallest observation is called range.

• Mode

Besides that, there are other measures of central tendency. Mode is one of them and is the observation that has the highest frequency of occurrence.

• Mode of Large Data

For a large amount of data, it is better to organize the same first. One can tabulate the same and then use tally marks to count the frequency of occurrence of each observation. The observation with the largest frequency of occurrence is the Mode.

• Median

Another measure of central tendency is Median. If you arrange the data in ascending or descending manner, the middle observation is called Median. Thus, half of the observations lie above the Median and the other half below the Median.

Use of Bar Graphs With a Different Purpose

• Choose A Scale

A bar graph represents numbers with the help of bars of uniform width. The length of the bar depends upon the frequency of the observation and the scale used. To choose the right scale check the range of the data. Divide this range into the number of equal parts that can be plotted easily and which is easy to read and understand. Then define what each part represents.

Chance and Probability

We use the word chance regularly in our daily communication.

For example, there is a chance of rain today which means that the occurrence of rain today may happen. But there is no way to predict this. A coin has two sides generally called Heads and Tails. Every time you toss it the chance exists, both of getting a Head or a Tail but there is no way of predicting it.

Probability gives a mathematical value to chance. Taking the same example of the coin the only two outcomes possible is of Heads or Tails. Both have equal chance or probability so the probability of getting Heads or Tails is equal and can be denoted as ½ for each of them. Total probability is always taken as 1 that is a 100% chance. So the probability of tossing a coin is the total probability of all possible occurrences which is the probability of getting a Head plus the probability of getting a Tail. ½ + ½ = 1. Or 0.5 + 0.5 = 1.

Let us take one more example for better clarity. In several games, we use a dice to play. A dice has 6 sides representing 6 numbers 1 to 6. Every time the dice are rolled the possible outcomes are 1, 2, 3, 4, 5, 6. The total possible outcomes are 6. The probability of each outcome is 1/6. The total probability of all the outcomes together should be 1.

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

We can also write this as:

When we roll the dice the probability of getting 1 is equal to the probability of getting 2 is equal to the probability of getting 3 is equal to the probability of getting 4 is equal to the probability of getting 5 is equal to the probability of getting 6 = 1/6.

## Study Tips for NCERT Class 7 Maths Chapter 3: Data Handling

If you aim to get a high score in the CBSE exams, we recommend that you read chapter 3 Data Handling class 7 notes of CBSE NCERT textbook for Class 7 Maths.

Further, through our NCERT Solutions, you get simple explanations and a summary of each part which can be used to develop a better understanding of all the concepts of Chapter 3.

• If any concept is still not understood, you can take the help of the Instasolv’s NCERT Solutions, which does not charge any student for this support.
• Do all the exercises, solved examples and self-practice questions on your own before you cross-check from the NCERT Solutions
• Chapter 3 Data Handling focuses more on measures of central tendency. You should be able to suggest the appropriate measure of central tendency for any data set given to you and then apply that measure to it.

Follow the NCERT Solutions for Class 7 Maths and tips provided by Instasolv and score high marks in your Maths exam.

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