Class 9 Maths Chapter 14 Statistics NCERT Solutions

March 17, 2026

Class 9 Maths Chapter 14 Statistics NCERT Solutions | Mean, Median, Mode Explained

Class 9 Maths Chapter 14 – Statistics

Introduction

Statistics is all about collecting, organizing and understanding data. In daily life, we see data everywhere like marks of students, temperatures, or survey results.

In this chapter, you will learn how to:

Organize data
Represent data using tables and graphs
Calculate mean, median and mode

This chapter is very important because it builds the base for higher classes.

Basic Terms

Data: Collection of facts or numbers
Raw Data: Data in original form
Grouped Data: Data arranged in classes
Frequency: Number of times a value occurs

Formulas Used

1. Mean (Average)

Mean = (Sum of all observations) / (Number of observations)

Mean = Σx / n

2. Median

For ungrouped data:

If n is odd:
Median = (n + 1)/2 th observation

If n is even:
Median = (n/2 th + (n/2 + 1) th observation) / 2

3. Mode

Mode = Most frequent observation

Exercise 14.1 Solutions

Question 1

Find the mean of first 5 natural numbers.

Solution:
Numbers: 1, 2, 3, 4, 5

Sum = 1 + 2 + 3 + 4 + 5 = 15
n = 5

Mean = 15 / 5 = 3

Question 2

Find the mean of 2, 4, 6, 8, 10.

Solution:
Sum = 2 + 4 + 6 + 8 + 10 = 30
n = 5

Mean = 30 / 5 = 6

Question 3

Find the median of 3, 7, 9, 15, 21.

Solution:
Already arranged

n = 5 (odd)

Median = (5 + 1)/2 = 3rd term

Median = 9

Question 4

Find the median of 2, 4, 6, 8.

Solution:
n = 4 (even)

Median = (2nd term + 3rd term)/2
= (4 + 6)/2 = 5

Median = 5

Question 5

Find the mode of 2, 3, 3, 5, 7, 3.

Solution:
Most frequent number = 3

Mode = 3

Exercise 14.2 Solutions (Grouped Data)

Question 1

Find mean using frequency table:

x	f
1	2
2	3
3	5

Solution:

Σfx = (1×2) + (2×3) + (3×5)
= 2 + 6 + 15 = 23

Σf = 2 + 3 + 5 = 10

Mean = 23 / 10 = 2.3

Question 2

Find mode from grouped data:

Value	Frequency
2	4
3	6
4	2

Solution:
Highest frequency = 6

Mode = 3

Exercise 14.3 (Graphical Representation)

Histogram and Frequency Polygon

Students are required to draw graphs based on data.

Tip: Always:

Label axes properly
Maintain equal class width
Use scale correctly

Important Points to Remember

Mean is affected by extreme values
Median is the middle value
Mode is most frequent value
Always arrange data before finding median

Conclusion

Statistics helps us understand data in a simple way. Once you are clear with mean, median and mode, solving questions becomes easy. Practice more questions to build confidence.For more such detailed solutions and easy explanations, visit:

https://www.fuzymathacademy.com

1. What is statistics?

Statistics is the study of collection, organization, presentation and interpretation of data.

2. What is raw data?

Raw data is the original data collected in its initial form without any arrangement.

3. What is grouped data?

Grouped data is data arranged into classes or intervals to make it easier to understand.

4. Define mean.

Mean is the average of all observations. Mean = Σx / n

5. Define median.

Median is the middle value of a data set when arranged in order.

6. Define mode.