Home » Commerce for 11th and 12th Standard Students » 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 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.

BoardCBSE
ClassClass 11
SubjectStatistics for Economics
ChapterChapter 11
Chapter NameMeasures of Dispersion
Number of questions solved03
CategoryT.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:

Marks28182024273015

Solution:

First, arrange the data in the ascending order:

S.No.Marks
115
218
320
424
527
628
730
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.

 

The above-provided solutions are considered to be the best solutions for Statistics for Economics Class 11 T.R. Jain and V.K. Ohri Solutions for Chapter 11 – Measures of Dispersion. Stay tuned to CoolGyan’S to learn more and score well in the upcoming board examinations.