# NCERT Exemplar Class 11 Maths Chapter 15 Solutions: Statistics

NCERT Exemplar Solutions for Class 11 Maths Chapter 15 introduces you to the three measures of Statistics including mean, median, and mode. Further, you will study with NCERT Exemplar Class 11 Maths measures of dispersion, mean deviation, range, limitation of mean deviations, variance and standard deviation, analysis of frequency distributions, the standard deviation of a continuous frequency distribution, and comparison of two frequency distributions.

NCERT Exemplar Problems with Solutions for chapter 15 consists of 4 exercises with 55 questions. The solution of all these exercises provided at Instasolv is prepared in such a way that every step is explained clearly and in detail. These solutions can be helpful not only for the preparation of the exam but also in solving the assignments.

The solution of all these NCERT Exemplar Problems for CBSE Class 11 is prepared by the best Maths teachers at Instasolv. The team has great experience and has an in-depth knowledge of the subject. So, if you feel stuck while preparing for Chapter 15 – Statistics, then refer to our exemplar problems with solutions at any time and from anywhere. Also, you can access all these solutions for free.

## Important Topics for NCERT Maths Exemplar Solutions Class 11 Chapter 15 – Statistics

**Measures of Dispersion **

The measures of dispersion include Range, Quartile deviation, mean deviation, variance, and standard deviation.

The range is defined as Maximum Value – Minimum Value

**Limit of the Class**

There are two limits to the class. The starting and end values of each class are known as the lower and upper limit respectively.

**Class Interval**

The difference between the upper and lower boundary of a class is termed as class interval or size of the class.

**Variable**

A characteristic that differs in magnitude from statement to statement. For example, weight, height, age, etc., are known as variables.

**Frequency**

The number of times an observation happens in the specified data is known as the frequency of the observation.

**Discrete Frequency Distribution**

A frequency distribution is known as a discrete frequency distribution if the data are offered in such a way that precise measurements of the units are shown clearly.

**Continuous Frequency Distribution**

A frequency in which data are organized in classes or groups which are not precisely measurable.

**Analysis of frequency distribution with equal means but diverse variances**

If the standard deviation of group A < the standard deviation of group B, then group A is reflected more consistently or uniform.

**Analysis of frequency distribution with unequal means**

In this case, we relate the coefficient of variation. The series which has a greater coefficient of variation is considered to be more variable than the other.

### Exercise-wise Discussion of NCERT Maths Exemplar Solutions Class 11 Chapter 15 – Statistics

Chapter 15 – Statistics of NCERT Exemplar Problems with Solutions has 4 exercises with a total of 55 questions. The detailed description of these exercises is provided below:

**Exercise 15.1 – Short Answer Types Questions**

This is the first exercise of NCERT Exemplar Class 11 Maths Solutions for Chapter 15. It contains 15 short answer type questions. Practising these questions will help you clear your concepts on three measures of Statistics including mean, median, and mode.

**Exercise 15.2 – Long Answer Type Questions**

This exercise consists of a total of 8 questions based on the measures of dispersion, mean deviation, range, limitation of mean deviations, variance and standard deviation, analysis of frequency distributions, the standard deviation of a continuous frequency distribution, and comparison of two frequency distributions. They are long answer type questions where you will find detailed solutions to the problems.

**Exercise 15.3 – Objective Type Questions**

Exercise 15.3 of Chapter 15 is considered a very important exercise from the entrance exam point of view. It contains a total of 16 or multiple-choice questions. Solving the questions of this exercise will help you understand how clear your concepts are.

**Exercise 15.4 – Very Short Answer Type Questions**

In this last exercise, you will find questions like fill in the blanks, state true or false, and match the following to practice.

Other than these exercises, there are a few solved examples available which you can practice to have a better understanding of the chapter.

## Why Use NCERT Maths Exemplar Solutions Class 11 Chapter 15 – Statistics by Instasolv?

Clearing your concepts and providing you with solved questions is what the NCERT Exemplar Class 11 for Maths Solutions at Instasolv aim for. Some other and key benefits of the solutions provided by us are listed below:

- Our exemplar solution of Chapter 15 covers all the important topics of the exam.
- Solutions to the questions provide an edge because the solutions are accurate and to the point.
- The solutions for all the Problems in NCERT Exemplar Book are easily available for you at Instasolv.
- The solutions are prepared by the subject experts who hold great experience in the domain.
- Solutions arranged by a qualified team of subject experts who are well-versed with the various teaching techniques.