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NCERT Solutions for Class 11 Maths Chapter 13 Statistics - PDF Download

JEE Mains & Advanced

NCERT Solutions for class 11 maths chapter 13 Statistics deals with data that's collected for a particular purpose. By analyzing and interpreting the data, we can make informed decisions about the data. Students are already familiar with graphical and tabular data. Not only that, but they have also learned the arithmetic mean, the median and mode of central tendency. In NCERT solutions class 11 maths chapter 13, students are now taught about how the collected data is dispersed or how much data is grouped around a measure of central tendency. In NCERT solutions class 11 maths, you will explore the statistical measures like mean deviations, standard deviations, and variances of grouped and ungrouped data in more detail. There are several formulas mentioned in this chapter to find the values of these concepts. NCERT Solutions for class 11 maths chapter 13 Statistics uses lots of practical examples and exercises to give a powerful lesson, so that all students of any intelligence level can get a solid statistics basis.

NCERT solutions for class 11 maths chapter 13 Statistics is available in free PDF form on eSaral. NCERT solutions are created by experienced teachers of mathematics, so you can be sure that the answer to every question is simple and correct. These solutions help the class 11 maths student to understand statistics concepts so they can score good marks in exams.

Important Topics covered in Chapter 13 - Statistics

Chapter 13 statistics contains many important concepts that are necessary for the comprehension and application of statistical techniques. Here, we will explore some of the most important concepts in this chapter, which will provide you with an insight of statistics.

13.1 Introduction

13.2 Measure of Dispersion

13.3 Range

13.4 Mean Deviation

13.4.1 Mean deviation for ungrouped data

13.4.2 Mean Deviation for grouped data

13.4.3 Limitations of mean deviation

13.5 Variance and Standard Deviation

13.5.1 Standard deviation

13.5.2 Standard deviation of a discrete frequency distribution

13.5.3 Standard deviation of a continuous frequency distribution

13.5.4 Shortcut methods to find variance and standard deviation

13.1 Introduction - This section discusses the concepts of the central tendency, the mean and the median (during even and odd numbers of observations) with illustrative examples. It also introduces the concepts of measure of dispersion. Mean, median and mode are measures of the central tendency of the values clustered around the center or center of the distribution.

13.2 Measure of Dispersion - In this section, the following measures of dispersion are defined: range, quartile deviation; mean deviation; standard deviation.

Measure of dispersion helps explain the relation between central tendency and measure of dispersion. For example, a measure of dispersion tells us how well the mean represents the data - if the spread is too big, then the mean does not represent the data.

13.3 Range - In this section, you will find the definition of the range, the formula for the range and  examples. Range indicates the variation of scores based on the max and min values in the set.

13.4 Mean Deviation

             13.4.1 Mean deviation for ungrouped data

             13.4.2 Mean deviation for grouped data

             13.4.3 Limitations of mean deviation

In this section, we define the formula for the mean deviation.

Here, you will also learn how to get the mean deviation for ungrouped data and how to get the mean deviation for discrete frequency distributions and the mean deviation for continuous frequency distributions with solved examples.

13.5 Variance and Standard Deviation

              13.5.1 Standard deviation

              13.5.2 Standard deviation of a discrete frequency distribution

              13.5.3 Standard deviation of a continuous frequency distribution

              13.5.4 Shortcut method to find variance and standard deviation

This section includes the definition of variances and standard deviations, the formula and solved discrete and continuous distribution examples. Also, In this section, we'll look at the easiest way to figure out the standard deviation with some examples.

NCERT Solutions for Class 11 Maths Chapter 13 Exercises

NCERT solutions for class 11 maths chapter 13 statistics including all the exercises are listed below and you can download them for free in PDF format.

Exercise 13.1

12 Questions & Solutions

Exercise 13.2

10 Questions & Solutions

Miscellaneous Exercise 

6 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 11 Maths Chapter 13 - Statistics

NCERT solutions for class 11 maths chapter 13 - Statistics provide students with a comprehensive understanding of this chapter, offering numerous benefits that contribute to their academic success and overall development.

  1. Chapter 13 class 11 math NCERT solutions are structured in a way that helps students organize their concepts and solve problems in a logical way.

  2. The NCERT solution for class 11 maths chapter 13 provides a comprehensive explanation and solution to the exercises provided in the chapter. This clarity makes it easier for students to understand the fundamentals of statistics.

  3. The NCERT solutions provided by subject - matter experts act as a valuable resource for exam preparation, offering students the opportunity to practice a wide range of problems and improve their problem-solving skills. 

  4. The NCERT solutions contain various types of exercise questions with different levels of difficulty. These questions can be used by students to test their knowledge of each concept. By trying different types of exercises, students can find areas where more practice is needed and can better manage their study time.

Frequently Asked Questions

Question 1. What are the key formulas in chapter 13 Statistics class 11 maths ?

Answer 1. The formula of mean, median, variances and standard deviation are very important for class 11. Once you complete these, you will have a clear idea of the topics discussed in chapter 13 of class 11 maths. To achieve this, you have to solve and practice each sum according to the examples and exercises provided in the NCERT class 11 maths chapter Statistics. The solutions for these exercises can be found in eSaral’s NCERT solutions for class 11 maths statistics. These solutions are free to download.

Question 2. Are the NCERT solutions for class 11 maths chapter 13 helpful for the students?

Answer 2. NCERT solutions class 11 maths chapter 13 provides clear and precise explanations in simple language to enable students to perform well in the exams. The step-wise approach to problem solving gives the students a clear picture of marks' weightage. Students will have the opportunity to assess their weaknesses and address them in order to improve their academic performance.

 

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