## NCERT Solutions for Class 11 Statistics Chapter 5 - Measures of Central Tendency

## FAQs on NCERT Solutions for Class 11 Statistics Chapter 5

1. Find the mean, median, and mode for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

The mean is the usual average is,

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

The median is the middle value, so first, we have to rewrite the list in numerical order:

13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list, so the size is an odd number.

13, 13, 13, 13, 14, 14, 16, 18, 21

Hence, the median is 14.

A mode is a number that is repeated more times.

Hence, 13 is the mode.

2. What is the difference between Mean and Median?

Mean is the average of all the values given in the set. On the contrary, the median is the exact middle number when a list of values will be written in order. So both are completely different and how they have unique advantages in the field of Statistics.

3. What are the concepts covered in Chapter 5 of Statistics Class 11?

The Chapter 5 deals with 'Measures of Central Tendency' and the statistical concepts like central tendency, statistical averages, etc. The concepts covered in the chapter are:

Central Tendency

Types of statistical averages: Mathematical and Positional

Arithmetic mean and its types

Methods of Calculating Arithmetic Mean

Median and Mode

Quartiles and Percentiles

All these concepts are discussed in a student-friendly language in NCERT Solutions drafted by experts available on the official website of Vedantu and the Vedantu app.

4. What are the important formulae in Statistics Chapter 5 For Class 11?

Formulae form a very important and unavoidable part of this chapter of Statistics because statistical problems do not exist without formulae. As such, students of class 11 need to remember some important formulae if they are to solve problems from this chapter. The formulae are listed out below, and students can refer to NCERT Solutions for this chapter for an easy understanding of these formulae to solve problems.

Arithmetic Mean, X=x1+x2+x3+…+xn/N or ∑x/N

Weighted Mean, XW=∑WX/∑W

Median, M=Size of [N/2]th term+Size of [N/2+1]th term/2

Mode, Z=L1+ (f1-f0/2f1-f0-f2)xi

5. What are the benefits of using NCERT Solutions for learning Statistics Chapter 5 in Class 11?

NCERT Solutions for Statistics Chapter 5 is available all over the internet in PDF formats, the best being solutions provided by Vedantu. Students are recommended to make use of this opportunity to download them because they are a very rich source of statistical material that can help students gain excellent knowledge and ideas about the topic of statistics. Since these solutions keep revising their topics in accordance with the CBSE syllabus, students also receive the most important references.

6. What are the definitions of Median and Mode in Class 11 Statistics?

In a given data set, median is that statistical data that gives the value of the variable dividing the group into two equal parts. On the other hand, the mode of a given data set is the value of the variable occurring the most number of times in the series of data values.

7. What are quartiles and percentiles in Chapter 5 of Class 11 Statistics?

A quartile is a statistical term where a series is divided into four equal parts. The end value of each of these parts forms a quartile. A percentile is a statistical term used to show the division of the series into 100 equal parts.