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Measures of Dispersion — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Dispersion6 Marks
Question
Make a comparison of different measures of dispersion.
✓

Answer

S No.
Basis
Range
Q.D.
M.D.
S.D.
1.
Meaning
It is the difference between highest and lowest item in the series.
It is half of the difference between third and first quartile.
It is the arithmetic mean of the deviations taken from mean/median/ mode.
It is the square root of the arithmetic mean of the square of deviation of items from their arithmetic mean.
2.
Easiness
It is the easiest method to find dis persion.
It is easy to calculate.
It is comp-aratively difficult than range and Q.D.
It is most difficult method of finding dispersion.
3.
Reliability
It is least reliable as it is based on extreme values only.
It is more reliable than range but less reliable than M.D. and S.D. as it is based on only 50% items.
It is more reliable as it is based on all values but ignores signs and hence direction of dispersion is not indicated.
It is most reliable method as it is based on all values and is mathematically correct.
4.
Effect of extreme values
It is highly affected by extreme items.
It is not unduly affected by extreme items.
It is less affected by extreme values.
It is least affected by extreme values.
5.
Utility
Useful to get a vague idea when in hurry.
Useful when middle 50% items are more important.
Useful when degree is important not direction.
Useful in cases where reliability and mathematicall accuracy is desirable.

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