The document Short Questions with Answers (Part - 1) - Measures of Dispersion Commerce Notes | EduRev is a part of the Commerce Course Statistics for Economics - Class XI.

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**Q.1. Define dispersion. Ans. **Dispersion is the extent to which values in a distribution vary from the average of the distribution.

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(i) Range

(ii) Quartile deviation

(iii) Mean deviation

(iv) Standard deviation

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(i) It should be simple to understand and easy to calculate.

(ii) It should be rigidly defined.

(iii) It should be based upon all values of the given distribution.

(iv) It should be capable of advanced mathematical treatment.

(v) It should have sampling stability.

(vi) It should be not be unduly affected by extreme values.

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Absolute measures of dispersion are expressed in terms of original units of a data. The methods of absolute measures of dispersion are:

- Range
- Quartile deviation
- Mean deviation
- Standard deviation

**2. Relative Measures of Dispersion**

Relative measures of dispersion are expressed in terms of percentage and ratios. The methods of relative measures of dispersion are coefficient of:

- Range
- Quartile deviation
- Mean deviation
- Variance

**Q.9. State the limitations of absolute measures of dispersion. Ans.** Following are the limitations of absolute measures of dispersion:

(i) Absolute measures may give misleading ideas about the degree of variation.

(ii) They give answer in the units in which original values are expressed thereby making them inappropriate for comparison.

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(i) To determine the reliability of the average

(ii) To compare the variability of two or more distributions

(iii) To facilitate the use of other statistical methods

(iv) To know the nature and hence, control the reasons of variation

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R = H â€“ L

where; H = Highest value in a series

L = Lowest value in a series

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(i) It is easy to understand and calculate.

(ii) It is widely used.

(iii) Its calculation takes lesser time.

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(i) Range is unduly affected by extreme values.

(ii) It does not include all the values of the distribution.

(iii) It is not affected by the variation in the mid-values of the series.

(iv) It cannot be calculated for open-ended frequency distribution.

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52 videos|42 docs

### Mean Deviation (Part - 1)

- Video | 12:22 min
### Mean Deviation (Part - 2)

- Video | 18:58 min
### Standard Deviation (Part - 1)

- Video | 17:04 min
### Standard Deviation (Part - 2)

- Video | 14:54 min
### Standard Deviation (Part - 3)

- Video | 12:35 min

- Calculation of Range
- Video | 16:50 min
- NCERT Solutions - Measures of Dispersion
- Doc | 6 pages