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Class 10 Maths Chapter 13 Statistics Exercise 13.3 NCERT Solutions

Get NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.3 here. Exercise 13.3 explains how to find the median of grouped data using cumulative frequency. You will learn to identify the median class and apply the formula step by step for accurate results.
authorImageAnanya Gupta5 May, 2026
NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.3

Exercise 13.3 of  Class 10 Maths Chapter 13, Statistics, focuses on finding the middle value of grouped data, which gives a better idea of the central tendency when values are unevenly distributed.

The exercise introduces the concept of cumulative frequency and shows how it is used to locate the median class, which is an important concept in the  CBSE Class 10 Maths syllabus.

These NCERT Solutions help you understand not just the steps, but also when and why the median is used. This makes it easier to handle similar questions in the board exam.

NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.3

1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.

chapter 14-Statistics Exercise 14.3/image001.png

Answer:

chapter 14-Statistics Exercise 14.3/image002.pngchapter 14-Statistics Exercise 14.3/image003.png

2. If the median of the distribution given below is 28.5, then find the values of x and y.

chapter 14-Statistics Exercise 14.3/image025.png

Answer:

chapter 14-Statistics Exercise 14.3/image026.pngchapter 14-Statistics Exercise 14.3/image027.png

3. A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are only given to persons having age 18 years onwards but less than 60 years.

chapter 14-Statistics Exercise 14.3/image044.png

Answer:

chapter 14-Statistics Exercise 14.3/image045.png

4. The lengths of 40 leaves of a plant are measured correct to the nearest millimeter and data obtained is represented in the following table. Find the median length of the leaves.

chapter 14-Statistics Exercise 14.3/image053.png

Answer:

chapter 14-Statistics Exercise 14.3/image054.pngchapter 14-Statistics Exercise 14.3/image055.png

How to Score Better in Class 10 Maths Exam?

Scoring well in Class 10 Maths requires clear concepts, regular practice, and a focus on accuracy and answer presentation. To score better, you should:

  • Build Strong Concepts:

Focus on understanding concepts in Class 10 Maths instead of memorising steps, as this helps in solving application-based questions.

  • Work on Weak Areas:

Focus on difficult topics from the Class 10 Maths syllabus instead of skipping them to avoid losing marks.

  • Revise Formulas Daily:

Regular revision of PW Class 10 Maths MIQs helps avoid calculation mistakes in exams.

  • Practise Regularly:

Solve all CBSE Class 10 NCERT questions multiple times to strengthen your basics and improve accuracy.

  • Solve Previous Year Papers:

Practising class 10 Maths previous year questions (PYQs) helps you understand question patterns and important topics.

NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.3 FAQs

How can I effectively solve the problems in Exercise 13.3?

To solve the problems effectively, first, ensure you understand the formulas for mean, median, and mode. Then, create frequency tables, determine midpoints, and carefully apply the formulas to each problem. Practice step-by-step to gain confidence.

What is the focus of Exercise 13.3 in Class 10 Maths Chapter 13?

Exercise 13.3 focuses on calculating the mean, median, and mode for grouped data. It helps students understand how to compute these measures of central tendency using frequency distributions.

What is the importance of calculating mean, median, and mode for grouped data?

Calculating the mean, median, and mode for grouped data is important because these measures of central tendency help summarize and interpret large sets of data in a meaningful way.
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