# NCERT Solutions for Class 11 Maths Chapter 15 Statistics

### Let us start reading the preparation article Regarding CBSE 11 Class

NCERT Solutions for Class 11 Maths Chapter 15 Statistics

In this chapter, we will discuss important topics like measures of dispersion, mean deviation, standard deviation, quartile deviation, range and many more. This chapter is the next level of measurements of what we have studied in classes 8, 9 and 10. There is a total of 27 questions in 3 exercises and for more practice to this topic, 7 questions are given in the miscellaneous exercise. The NCERT Solutions for Class 11 Maths Chapter 15 Statistics are prepared by our subject experts. These NCERT solutions help students in their preparation of CBSE class 11 final examination as well as in the various competitive exams like JEE Main, BITSAT, etc.

According to A.L.BOWLEY  &  A.L.  BODDINGTON, statistics may be rightly called the science of averages and their estimates. The NCERT Solutions for Class 11 Maths Chapter 15 Statistics is an important chapter for a maths student. Statistics deals with the collected data for specific purposes. In previous classes, we learned various methods of representing data in tabular form and graphically. This representation reveals certain characteristics of the data. In this chapter, we will also study some methods for finding a representative value for the given data. This value is known as the measure of central tendency. And also study mean, mode and median which are three measures of central tendency.

## Important terms and formulas of NCERT Class 11 Maths Chapter 15 Statistics-

• Measures of dispersion- Range, mean deviation, Quartile deviation, standard deviation, variance are measures of dispersion.
• Range- The difference between the maximum and the minimum values of each series is called the ‘Range’ of the data. Range = Maximum Value – Minimum Value.
• Mean- The arithmetic average of a range of values or quantities, found by adding all values and dividing by the number of values. For example, The mean of 4, 10, and 1 is (4+10+1)/3=15/3=5.

$\bar{X}=\frac{\Sigma X}{N}$
X represents values or scores,
N represents the number of values or scores.

• Median- If the total number of values(n) is an odd number, then the formula is-

$Median= (\frac{n+1}{2})^{th}\:term$

• Median- If the total number of values(n) is an even number, then the formula is-

$Median= \frac{(\frac{n}{2})^{th}\:term+(\frac{n+1}{2})^{th}\:term}{2}$

• Mode- It is the most frequently occurring value or number.
• Mean deviation for ungrouped data-

$M.D.(\bar{x})=\frac{\Sigma \:|x_{i}-\bar{x}|}{n}, \:\:\:\:\:\:\:\:\: M.D.(M)=\frac{\Sigma \:|x_{i}-M|}{n}$

• Mean deviation for grouped data-

$M.D.(\bar{x})=\frac{\Sigma f_i\:|x_{i}-\bar{x}|}{N}, \:\:\:\:\:\:\:\:\: M.D.(M)=\frac{f_i\Sigma \:|x_{i}-M|}{N}, \: where \:N=\Sigma f_i$

Topics of NCERT Grade 11 Maths Chapter-15 Statistics

15.1 Introduction

15.2 Measures of Dispersion

15.3 Range

15.4 Mean Deviation

15.5 Variance and Standard Deviation

15.6 Analysis of Frequency Distributions

The complete Solutions of NCERT Class 11 Mathematics Chapter 15 is provided below:

NCERT Solutions for Class 11 Maths Chapter 15 Statistics - Exercise 15.1

NCERT Solutions for Class 11 Maths Chapter 15 Statistics - Exercise 15.2

NCERT Solutions for Class 11 Maths Chapter 15 Statistics - Exercise 15.3

NCERT Solutions for Class 11 Maths Chapter 15 Statistics- Miscellaneous

## NCERT Solutions for Class 11 Mathematics

 Chapter-1 Sets Chapter-2 Relations and Functions Chapter-3 Trigonometric Functions Chapter-4 Principal of Mathematical Induction Chapter-5 Complex Numbers and Quadratic equations Chapter-6 Linear Inequalities Chapter-7 Permutation and Combinations Chapter-8 Binomial Theorem Chapter-9 Sequences and Series Chapter-10 Straight Lines Chapter-11 Conic Section Chapter-12 Introduction to Three Dimensional Geometry Chapter-13 Limits and Derivatives Chapter-14 Mathematical Reasoning Chapter-16 Probability

## NCERT Solutions for Class 11- Subject wise

 NCERT Solutions for Class 11 Biology NCERT Solutions for Class 11 Maths NCERT Solutions for Class 11 Chemistry NCERT Solutions for Class 11 Physics