# NCERT Solutions for Class 10 Maths Chapter 14 Statistics

NCERT Solutions for Class 10 Maths Chapter 14 Statistics-

In our previous class, we have studied the classification of the given data into grouped and ungrouped frequency distributions and learned to represent given data in the form of graphs such as histograms, bar graph, etc and mean mode and median. In NCERT Class 10 Maths Chapter 14 Statistics, we will extend the study of measures of central tendency, namely, mean, mode and median from the ungrouped data to that of grouped data. In this chapter, there are 4 exercises with 25 questions. These NCERT solutions are the detailed explanation of NCERT textbook of class 10 maths. And these solutions help students in their preparation of CBSE Class 10 Board exam.

Today's world highly depends on data. Each and every sector have a group of data which represents various information. Statistics is the branch of applied mathematics which deals with the collection of data and represent it in a meaningful way. In NCERT Class 10 Maths Chapter 14 Statistics we will also study the concept of cumulative frequency, it's distribution and how to draw cumulative frequency curves. Students face many real-life problems where the fundamentals of statistics are used to represent data in graphs or in tabular form. There are a number of methods and concepts we will learn from Chapter 14 Statistics such as finding median and mode of grouped data, step deviation methods, converting frequency distribution and the relation between, mean, mode and median methods, etc.

## Important points of NCERT Class 10 Maths Chapter 14 Statistics-

• To find the mean for grouped data-

 (i) The direct method- $\bar{x}=\frac{\sum f_ix_i}{\sum f_i}$ (ii) The assumed mean method $\bar{x}=a+\frac{\sum f_id_i}{\sum f_i}$ (iii) The step deviation method $\bar{x}=a+(\frac{\sum f_iU_i}{\sum f_i})\times h$
• To find the mode for grouped data-

$Mode=l+(\frac{f_1-f_0}{2f_1-f_0-f_2})\times h$

• To find the median for grouped data-

$Median=l+(\frac{\frac{n}{2}-cf}{f})\times h$

## Topics of NCERT Grade 10 Maths Chapter 14 Statistics-

14.1 Introduction

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 Distribution

14.6 Summary

## The complete Solutions of NCERT Class 10 Mathematics Chapter 14 is provided below:

NCERT Solutions for Class 10 Maths Chapter 14 Statistics - Exercise 14.1

NCERT Solutions for Class 10 Maths Chapter 14 Statistics - Exercise 14.2

NCERT Solutions for Class 10 Maths Chapter 14 Statistics - Exercise 14.3

NCERT Solutions for Class 10 Maths Chapter 14 Statistics - Exercise 14.4

## NCERT Solutions for Class 10 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables Chapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

## NCERT Solutions for Class 10 - Subject Wise

 NCERT Solutions for Class 10 Maths NCERT Solutions for Class 10 Science