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Emperical Relationship

This document discusses various empirical relationships between common statistical measures of dispersion such as range, standard deviation, quartile deviation, and mean deviation. It provides formulas showing that the range is approximately 6 times the standard deviation, 9 times the quartile deviation, and 15 half times the mean deviation. The quartile deviation is about 2/3 the standard deviation or 5/6 the mean deviation. The mean deviation is roughly 4/5 the standard deviation.

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Saqib Ahmad
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548 views2 pages

Emperical Relationship

This document discusses various empirical relationships between common statistical measures of dispersion such as range, standard deviation, quartile deviation, and mean deviation. It provides formulas showing that the range is approximately 6 times the standard deviation, 9 times the quartile deviation, and 15 half times the mean deviation. The quartile deviation is about 2/3 the standard deviation or 5/6 the mean deviation. The mean deviation is roughly 4/5 the standard deviation.

Uploaded by

Saqib Ahmad
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Measure of Dispersion

Empirical Relationships

RANGE
Range and Standard Deviation
R= 6 Standard Deviation
Range and Quartile Deviation
R= 9 Quartile Deviation
Range and Mean Deviation
2R= 15 Mean Deviation
Quartile Deviation
Quartile Deviation with Standard Deviation
Q.D= 2/3 Standard Deviation (3 Q.D=2 S.D)
Quartile Deviation with Mean Deviation
Q.D= 5/6 Mean Deviation (6 Q.D=5 M.D)
Mean Deviation
Mean Deviation with Standard Deviation
M.D= 4/5 Standard Deviation (5 M.D=4 S.D)

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