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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