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NCERT Solutions For Class 11 Statistics for Economics Chapter 6 Measures of Dispersion
Ncert solutions for class 11 Statistics for Economics Chapter 6 Measures of Dispersion are prepared by CBSE student eCARE expert to score good marks in class 11. Classes 11 Statistics for Economics Chapter 6 Measures of Dispersion contain many topics which are very important to score good in class 11. There are some important topic mentioned below:
Statistics is a part of mathematics that deals with the gathering, formation, analysis, elucidation, and presentation of data.
NCERT Solution For Class 11 Commerce Statistics Chapter 6 – Measures Of Dispersion furnishes us with an all-inclusive data to all the concepts. As the students would have to learn the basic fundamentals about the subject of statistics in Class 11, this curriculum for Class 11 is a comprehensive study material; which explains the concepts in a great way.
Concepts covered in this chapter –
- Introduction
- Measures based upon spread of values
- Range
- Quartile Deviation
- Measures of dispersion from average
- Mean Deviation
- Standard Deviation
- Absolute And Relative Measures Of Dispersion
- Lorenz Curve
- Conclusion
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Some questions are asked by class 11 students related to Statistics for Economics
Question 1.
A measure of dispersion is a good supplement to the central value in understanding a frequency distribution. Comment.
Answer:
Dispersion is the extent to which values in a distribution differ from the avarage of the distribution. Knowledge of only average is insufficient as it does not reflect the quantum of variation in values.
Measures of dispersion enhance the understanding of a distribution considerably by providing information about how much the actual value of items in a series deviate from the central value, e.g., per capita income gives only the average income but a measure of dispersion can tell you about income inequalities, thereby improving the understanding of the relative living standards of different sections of the society. Through value of dispersion one can better understand the distribution.
Thus a measure of dispersion is a good supplement to the central value in understanding a frequency distribution.
Question 2.
Which measure of dispersion is the best and how?
Answer:
Standard Deviation is considered to be the best measure of dispersion and is therefore the most widely used measure of dispersion.
- It is based on all values and thus provides information about the complete series. Because of this reason, a change in even one value affects the value of standard deviation.
- It is independent of origin but not of scale.
- It is us’eful in advanced statistical calculations like comparison of variability in two data sets.
- It can be used in testing of hypothesis.
- It is capable of further algebraic treatment.
Question 3.
Some measures of dispersion depend upon the spread of values whereas some calculate the variation of values from a central value. Do you agree?
Answer:
Yes, it is true that some measures of dispersion depend upon the spread of values, whereas some calculate the variation of values from the central value. Range and Quartile Deviation measure the dispersion by calculating the spread within which the value lie. Mean Deviation and Standard Deviation calculate the extent to which the values differ from the average or the central value.