T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 11 - Measures of Dispersion

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for EconomicsChapter 11 – Measures of Dispersion is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.

Board

CBSE

Class

Class 11

Subject

Statistics for Economics

Chapter

Chapter 11

Chapter Name

Measures of Dispersion

Number of questions solved

03

Category

T.R. Jain and V.K. Ohri

Chapter 11 – Measures of Dispersion covers the below-mentioned concepts:

  • Concept and Measures of Dispersion
  • Methods of measuring Dispersion
  • Mean deviation
  • Standard deviation

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 11 – Measures of Dispersion

Question 1

Find the interquartile range, quartile deviation and coefficient of quartile deviation from the following data:

Marks

28

18

20

24

27

30

15

Solution:

First, arrange the data in the ascending order:

S.No.

Marks

1

15

2

18

3

20

4

24

5

27

6

28

7

30

N = 7

Q1 = \(Size \, of\left (\frac{N+1}{4}\right)th \, item\, = Size \, of\, \left (\frac{7+1}{4}\right)th\, item\)

= Size of 2nd item = 18 marks

Q3 = \(Size\, of\,3\left(\frac{N+1}{4}\right)th\, item = Size\, of\,3\left(\frac{7+1}{4}\right)th\, item\)

= Size of 6th item = 28 marks

Interquartile range = Q3 – Q1 = 28-18 = 10

\(Quartile\, Deviation=\frac{Q3-Q1}{2}=\frac{28-18}{2}=5\) \(Coefficient \, of \, Quartile \, Deviation = \frac{Q3-Q1}{Q3+Q1}=\frac{28-18}{28+18}=\frac{10}{46}=0.217\)

Question 2

What are the methods of Standard Deviation?

Solution:

  • Direct Method
  • Short-cut Method

Question 3

Define Dispersion.

Solution: Dispersion is the measure of the extent to which different items tend to disperse away from the central tendency.

 

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