NCERT Solutions for Class 10 Maths Chapter 14: Statistics

Class 10 Maths Chapter 14, titled “Statistics”, introduces students to the concepts of mean, median, and mode, focusing on their application to grouped data. This chapter also includes methods of graphical representation, such as cumulative frequency distributions.

Table of Contents

Topics and Subtopics in Chapter 14: Statistics

Section Name	Topic Name
14	Statistics
14.1	Introduction to Statistics
14.2	Mean of Grouped Data
14.3	Mode of Grouped Data
14.4	Median of Grouped Data
14.5	Graphical Representation of Cumulative Frequency
14.6	Summary and Key Points

Solutions for Exercise 14.1: Introduction to Statistics

In Exercise 14.1, students are introduced to the basic concepts of statistics, such as data representation and how to organize and summarize data using various measures like mean, median, and mode.

Key Formulas and Concepts:

Mean: The average of a data set, calculated by the formula: Mean=∑(Sum of all data points)N (Number of data points)\text{Mean} = \frac{\sum \text{(Sum of all data points)}}{N \text{ (Number of data points)}}
Median: The middle value when the data is arranged in ascending or descending order.
Mode: The value that appears most frequently in a data set.

Example Problem:

Q1: The marks obtained by 10 students in a test are given as follows: 35, 40, 50, 55, 45, 60, 50, 65, 55, 60. Find the mean of these marks.

Solution: To calculate the mean, we add up all the marks and divide by the total number of students (10). Mean=35+40+50+55+45+60+50+65+55+6010=51510=51.5\text{Mean} = \frac{35 + 40 + 50 + 55 + 45 + 60 + 50 + 65 + 55 + 60}{10} = \frac{515}{10} = 51.5

So, the mean marks are 51.5.

Download the Solutions PDF

For detailed solutions to all questions in All Exercise, you can download the PDF below:

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