## NCERT Solutions for Class 11 Statistics Chapter 6 - Measures of Dispersion

## FAQs on NCERT Solutions for Class 11 Statistics Chapter 6

1. What are the steps involved in the construction of the Lorenz Curve?

Ans. The procedure involves a set of nine steps.

1. Calculate class Midpoints to obtainCol.2 of Table

2. Calculate the estimated total income of employees in each c ss by multiplying the midpoint of the class by the frequency in the class. Thus obtain Col. (4) of Table

3. Express frequency in each class as a percentage (%) of total frequency. Thus, obtain Col. (5) of Table

4. Express total income of each class as a percentage (%) of the total income of all classes together. Thus obtained Col. (6) of Table

5. Prepare less than cumulative frequency and Cumulative income table

6. Col. (2) Table 6.5 shows the cumulative frequency of employees.

7. Col. (3) Table 6.5 shows the cumulative income going to these persons.

8. Draw a line joining Co-ordinate(0,0) with (100,100). This is called the line of equal distribution.

9. Plot the cumulative percentages of employees on the horizontal axis and cumulative income on the vertical axis.

2. What are the measures used for the Dispersion of Values?

Ans. We have four different measures users further dispersion of spread values. They are-

Range

Quartile Dispersion

Mean Deviation

Standard Deviation.

3. A measure of Dispersion is a good supplement to the central value in understanding a frequency distribution. Comment according to Chapter 6 of Class 11 Statistics.

Knowledge of only the average will not give the variation in values. The measure of dispersion increases the understanding of distribution because it gives information about how much the actual value of terms in a series deviates from the central value e.g. per capita income, only gives the average income but the measure of dispersion can help you understand income inequalities.

4. What are the measures of Dispersion according to Chapter 6 of Class 11 Statistics?

The measures of dispersion include:

Range

Interquartile range

Quartile deviation or semi-inter-quartile range

Mean deviation

Standard deviation

Lorenz curve.

5. Which are the characteristics of a good measure of Dispersion according to Chapter 6 of Class 11 Statistics?

In Chapter 6 of NCERT Class 11 Statistics, the measure of dispersion is of two types: Absolute and Relative. The characteristics of a good measure of dispersion are:

It should be done based on all observations.

It should be defined rigidly.

It can be calculated and understood easily.

It should not be affected by the fluctuations of sampling and also by extreme fluctuations.

It should help in further mathematical or algebraic treatment.

6. What is the measure of Dispersion in statistics?

The measures of dispersion help to explain the variability of data. It gives information about the disparity of data from one another giving precise information of the data distribution. The measure of dispersion explains and gives an idea about the variation and the core value of an individual item. It means dispersion is the extent to which values in a distribution can change from the average of the distribution.

7. What is Dispersion? Explain the need to study it in Class 11 Statistics?

Dispersion in Class 11 Statistics is defined as the state of getting dispersed or spread. In statistics, dispersion means the extent to which a given numerical data can vary from an average value. Dispersion is important to study in Class 11 because it helps to understand how the given data is distributed. All Solutions are given in a simple language and are free of cost. These are available on Vedantu’s website(vedantu.com) Mobile app as well.