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

eSaral Academic and Editorial Team
Summary
NCERT Solutions for Class 11 Maths Chapter 13 Statistics cover measures of dispersion including range, mean deviation, variance, and standard deviation for both grouped and ungrouped data. Step-by-step solutions for all exercises — 13.1, 13.2, and the Miscellaneous Exercise — are available as a free PDF download on eSaral.
eSaral › JEE› NCERT Solutions for Class 11 Maths Chapter 13 Statistics - PDF Download

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.
- 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.
- 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.
- 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.
- 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
What are the key formulas in Class 11 Maths Chapter 13 Statistics?
The most important formulas are: Mean Deviation = (1/n)·Σ|xᵢ − x̄| for ungrouped data; Variance σ² = (1/n)·Σ(xᵢ − x̄)²; and Standard Deviation σ = √Variance. For grouped data, each formula uses frequency fᵢ. The shortcut (step deviation) method for variance is equally important for board exams and JEE Main.
Is Chapter 13 Statistics important for JEE Main?
Yes. Statistics is part of the JEE Main syllabus as notified by NTA (National Testing Agency). Questions typically test mean, variance, and standard deviation of frequency distributions. One question from Statistics appears in most JEE Main sessions, making it a reliable source of marks if prepared well.
What is the difference between mean deviation and standard deviation?
Mean deviation uses absolute values of deviations from the mean or median, making it easy to understand but hard to use in advanced calculations. Standard deviation uses squared deviations, which is mathematically more convenient and gives greater weight to larger deviations. Standard deviation is the preferred measure in scientific and statistical analysis.
How many exercises are there in Chapter 13 Class 11 Maths?
Chapter 13 has three exercises: Exercise 13.1 (12 questions on mean deviation), Exercise 13.2 (10 questions on variance and standard deviation), and a Miscellaneous Exercise (6 questions mixing all concepts). All solutions are available in the free eSaral PDF.
What is the shortcut method to find standard deviation in class 11?
The shortcut (assumed mean) method sets an assumed mean A, calculates deviations dᵢ = xᵢ − A, and applies the formula σ = (1/N)·√[N·Σfᵢdᵢ² − (Σfᵢdᵢ)²]. This avoids large number calculations and reduces errors in exams. It is especially useful when class intervals are equal in a continuous frequency distribution.

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eSaral Academic and Editorial Team
Team eSaral is the collective author profile for educational content created by eSaral’s teachers and academic contributors. The team draws on expertise from IIT graduates, doctors, experienced educators and subject specialists to develop resources for JEE, NEET and school students. Our articles aim to explain concepts clearly and help students study with confidence.
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