T.R. Jain and V.K. Ohri Solutions Class 11 Statistics 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.

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:

Solution:

First, arrange the data in the ascending order:

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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