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# NCERT Solutions for Class 10 Maths Chapter 13 Statistics - PDF Download `

NCERT solutions for class 10 maths chapter 13 Statistics discusses ungrouped and grouped frequency distributions. In previous classes, you must have learned the visual representations of the data using bar charts, histograms, frequency polygons, etc. When you solve NCERT solutions for class 10 maths chapter 13, you'll need to switch from ungrouped data to grouped data by learning all three measures mean, median and mode. You will also learn some new topics of statistics such as cumulative frequency, cumulative frequency distribution, cumulative frequency curves called ogives. NCERT solutions for class 10 maths will help you to comprehend the concepts mentioned in this chapter and understand the meaning of statistics by presenting its main points.

NCERT solutions for class 10 maths chapter 13 Statistics, available for free to download in PDF format. These solutions are provided by our experienced teachers with expertise in Mathematics. All Statistics questions have been solved and are presented in easy-to-understand terms to help students solve each exercise question and effectively prepare for the exam. eSaral's NCERT solutions for class 10 maths chapter 13 statistics are useful, especially during the practice and revision of the chapter. However, it is essential that you familiarize yourself with the relevant topics of chapter 13 statistics before starting your revision.

## Important Topics covered in Chapter 13 - Statistics

NCERT solutions for class 10 maths chapter 13 Statistics covers a variety of topics. It is  essential that students have a clear understanding of the fundamental concepts in order to achieve high scores in exams.

 13.1 Introduction 13.2 Mean of Grouped Data 13.3 Mode of Grouped Data 13.4 Median of Grouped Data

13.1 Introduction - In this section, you will get to know about the numerical representatives of ungrouped data, also called measures of central tendency namely, mean, median, and mode. Then you will extend the study of these three measures from ungrouped data to grouped data.

You will also learn the concepts of cumulative frequency, cumulative frequency distribution, cumulative frequency curves called ogives.

13.2 Mean of Grouped Data - The formula for finding the mean of a group of data is x̄ = Σfx / Σf , where x is the mean value of the data set, f represents the mean frequency for each class, and x represents the mid- interval value for each class.

13.3 Mode of Grouped Data - A mode is a value among the observations, which occurs most often, that is, the value of observation having the maximum frequency. In addition, we talked about how to find the mode of ungrouped data. Here, we will discuss ways of obtaining a mode of grouped data.It's possible that there are multiple values with the same maximum frequency. In these cases, the data is referred to as multimodal. Although multi-modal data can also be grouped data, we will limit ourselves to single mode problems.

The formula to find the mode of the grouped data is:

Mode = l + [(f1-f0)/(2f1-f0-f2)]×h.

Where, l = lower class limit of modal class, h = class size, f1 = frequency of modal class, f0 = frequency of class proceeding to modal class, f2 = frequency of class succeeding to modal class.

13.4 Median of Grouped Data - The median is a measure of central tendency which gives the value of the middle-most observation in the data. For finding the median of ungrouped data, we first arrange the data values of the observations in ascending order.

The formula to find the median of grouped data is:

Median =  l + [(n/2−cf)/f] × h

## NCERT Solutions for Class 10 Maths Chapter 13 Exercises

NCERT Solutions for class 10 Maths Chapter 13 Statistics all exercises are given below.

 Exercise 13.1 9 Questions & Solutions Exercise 13.2 6 Questions & Solutions Exercise 13.3 7 Questions & Solutions

In class 10, statistics is introduced to the students through NCERT solutions under Chapter 13. NCERT solutions not only help students to understand the basics of statistics but also provide many benefits for their overall understanding and comprehension of topics.

1. After learning step-by-step easy explanations provided in NCERT solutions, you will develop a strong understanding of this Chapter.

2. Students can download these NCERT Solution PDF’s from eSaral’s website and study anytime, anywhere.

3. These NCERT solutions for class 10 chapter 13 statistics PDFs are easy to download free online and can be practiced offline.

4. This variety of questions in NCERT solutions ensures that students are well-prepared to solve different types of questions that may appear in examinations.