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Published on: 08/09/2022
QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 11 Economics Subject - Measures of Dispersion, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
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1.
Absolute measures of dispersion calculate a value which, at times is difficult to interpret. For example, there are two data sets - Set A and Set B.
| Set A: | 500 | 700 | 1000 |
| Set B: | 1,00,000 | 1,20,000 | 1,30,000 |
We observe that range for Set A is 500 whereas for Set B it is 30,000.
Thus, examples of absolute measure like above may give misleading ideas about the extent of variation. Another weakness of absolute measures of dispersion is that they give the answer in the units in which original values are expressed. As a result if the values are expressed in kilometers the dispersion also will be in kilometers.
To overcome these problems relative measures of dispersion can be used. Each absolute measure has a relative counterpart. For example for range there is a co-efficient of range, which is calculated a \(\frac{\mathbf{L}-\mathbf{S}}{\mathbf{L}+\mathbf{S}}\) .
(a) Give the formula for calculating the co-efficient of range.
(b) Highlight the two weaknesses of absolute measures of dispersion.
(c) How can the above problems of absolute measures of dispersion be overcome?
1.
(a) Co-efficient of range = \(\frac{\mathbf{L}-\mathbf{S}}{\mathbf{L}+\mathbf{S}}\)
(b) (i) Absolute measures of dispersion calculate a value which, at times, is difficult to interpret.
(ii) Absolute measures of dispersion give the answer in units in which original values are expressed.
(c) The above mentioned problems of absolute measures of dispersion can be overcome by using the relative measures of dispersion.
For example, for Range, using the co-efficient of Range, i.e., \(\frac{\mathbf{L}-\mathbf{S}}{\mathbf{L}+\mathbf{S}}\).
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