NCERT Class 10 Maths · Chapter 13

NCERT Solutions Class 10 Maths Chapter 13 — Statistics

Step-by-step solutions for all exercises in NCERT Class 10 Maths Statistics.

Chapter Overview

Compute mean, median, and mode of grouped data; draw cumulative frequency curves (ogives).

This chapter is part of the NCERT Mathematics textbook for Class 10 and is important for CBSE school examinations. The concepts covered here build the foundation for more advanced topics in higher classes.

Below you will find solved examples from this chapter. Each solution includes detailed step-by-step working so you can understand the method, not just the answer.

Solved Examples from Statistics

1The mean of 5 numbers is 20. What is the sum of these 5 numbers?

A.80
B.100
C.25
D.4

Answer: 100

Solution:

Step 1: Sum = Mean $\times$ Number of observations [= 20 \times 5 = 100]

2The class mark of the class interval $10 - 20$ is:

A.10
B.20
C.15
D.30

Answer: 15

Solution:

Step 1: Class mark $= \frac{10 + 20}{2}$ [= 15]

3In a frequency distribution, the sum of $f_i x_i = 420$ and $\sum f_i = 30$. The mean is:

A.12
B.14
C.15
D.16

Answer: 14

Solution:

Step 1: Mean $= \frac{\sum f_i x_i}{\sum f_i} = \frac{420}{30}$ [= 14]

4The mode of the data: 2, 3, 4, 5, 3, 3, 4, 2, 3 is:

A.2
B.3
C.4
D.5

Answer: 3

Solution:

Step 1: Frequency: 2 appears 2 times, 3 appears 4 times, 4 appears 2 times, 5 appears 1 time.

Step 2: Mode = 3 (highest frequency).

5The median of the data 3, 8, 5, 7, 6 (when arranged in order) is:

A.5
B.6
C.7
D.8

Answer: 6

Solution:

Step 1: Arranged: 3, 5, 6, 7, 8

Step 2: Middle value (3rd term): [\text{Median} = 6]

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Related Chapters

Previous ChapterCh 12: Surface Areas & VolumesNext ChapterCh 14: Probability

Frequently Asked Questions

Where can I find NCERT Solutions for Class 10 Maths Chapter 13?+
You can find complete NCERT Solutions for Class 10 Maths Chapter 13 (Statistics) on this page with step-by-step explanations for all exercises.
Are these NCERT Solutions for Class 10 Statistics updated for 2025-26?+
Yes, these solutions follow the latest NCERT textbook for the 2025-26 academic session and cover all exercise questions.
How to score full marks in Class 10 Statistics?+
Practice all NCERT exercise questions, understand the concepts behind each formula, and solve additional problems on SparkEd's interactive platform for thorough preparation.
Is Statistics important for Class 10 exams?+
Yes, Statistics is an important chapter in Class 10 CBSE Maths. Questions from this chapter regularly appear in school exams and board assessments.
Can I practice more questions on Statistics?+
Absolutely! SparkEd offers 60+ interactive practice questions for Statistics with AI-powered doubt clearing and step-by-step solutions.

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