NCERT Class 11 Statistics for Economics Chapter 6 Measures of Dispersion Extra Questions

NCERT Class 11 Statistics for Economics Chapter 6 Measures of Dispersion Extra Questions and Answers

Class 11 Statistics for Economics Chapter 6 Extra Inside Questions and Answers – Measures of Dispersion. Here in this Page Class XI Students can Learn Extra Questions & Answer 6th Chapter Statistics for Economics fully Inside.

We Provided Here Measures of Dispersion Statistics for Economics Chapter 6 Long Answer Type Question, MCQ Questions & Answer, Short Answer Type Questions (2 or 3 marks), and Very Short answer Type Question (1 marks) Solution.

Class 11 Statistics for Economics Chapter 6 Inside based Question

Statistics for Economics Chapter 6 Measures of Dispersion Class 11 Inside 5 Marks, 3 marks, 2 Marks & And 1 Marks Important Questions and Answers.

1.) Explain the range.

Ans – Range (R) is the difference between the largest (L) and the smallest value (S) in a distribution. Thus, Range (R) = Larger variable (L) – Smallest variables (S).  Higher value of range implies higher dispersion and lower value of range implies lower dispersion . Range is  not based on the all observation . It is depended upon the  on extreme values. Hence in change of in maximum and minimum value will be affect the range but change in other value does not affect the range. It not use to  calculated for open- ended frequency distribution .Notwithstanding some limitations, range is understood and used frequently because of its simplicity.

2.) Explain the steps of Calculation of Mean Deviation from Arithmetic Mean for Ungrounded data by direct method.

Ans – Following are the steps of Calculation of Mean Deviation from Arithmetic Mean for Ungrounded data by direct method.

(i) The A.M. of the values is calculated

(ii) Difference between each value and the A.M. is calculated. All differences are considered positive. These are denoted as |d|

(iii) The A.M. of these differences (called deviations) is the Mean Deviation.

3.) Explain the standard deviation.

Ans – Standard deviation is the most commonly use measure of dispersion.  Standard deviation is not any demerit like other measure of dispersion such as like arithmetic mean it not gives always positive value , such as range it not considered the all observations , but standard deviation is always gives  position value . Standard Deviation is the positive square root of the mean of squared deviations from mean.  The mean of these squared deviations is the variance. Positive square root of the variance is the standard deviation.

 

In case you are missed :- Previous Chapter Extra Questions

 

4.) How many method can be use for calculating the standard deviation for ungrounded data?

Ans – Four alternative methods are available for the calculation of standard deviation of individual values. All these methods result in the same value of standard deviation. These are:

(i) Actual Mean Method

(ii) Assumed Mean Method

(iii) Direct Method

(iv) Step-Deviation Method

5.) Explain the feature of Lorenz curve.

Ans – The measures of dispersion give a numerical value of dispersion. A graphical measure called Lorenz Curve is available for estimating inequalities in distribution. You may have heard of statements like ‘top 10% of the people of a country earn 50% of the national income while top 20% account for 80%’. An idea about income disparities is given by using Lorenz curve. Lorenz Curve uses the information expressed in a cumulative manner to indicate the degree of inequality.  It is specially useful in comparing the variability of two or more distributions by drawing two or more Lorenz curves on the same axis.

1.) Measures of dispersion includes

(a) Range

(b) Quartile Deviation

(c) Mean Deviation

(d) All of the above

Ans – option (d)

2.) …….. measure the dispersion by calculating the spread within which the values lie.

(a)Range

(b) Quartile deviation

(c) Both (a) and (b)

(d) None of the above

Ans – option (c)

3.) ………is the difference between the largest (L) and the smallest value (S) in a distribution.

(a) Quartile deviation

(b) Range

(c) Means deviation

(d) None of the above

Ans – option (b)

4.) It is not based on all the values.

(a) Arithmetic

Mean

(b) Range

(c) Quartile deviation

(d) None of the above

Ans – option (b)

5) ……….can generally be calculated for open-ended distributions and is not unduly affected by extreme values.

(a) Arithmetic Mean

(b) Range

(c) Quartile deviation

(d) None of the above

Ans – option (c)

6) ……. is based on all value

(a) Range

(b) Quartile Deviation

(c) Mean Deviation

(d) All of the above

Ans – option (c)

In case you are missed :- Next Chapter Extra Questions

Updated: April 8, 2023 — 11:42 am

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