The upper and lower quartile of a distribution has been computed … - Vidyadip

Question

The upper and lower quartile of a distribution has been computed as follows
Upper quartile $(Q_3) = 72.5$
Lower quartile $(Q_1) = 36.5$
Find inter-quartile range, quartile deviation and coefficient of quartile deviation of the distribution.

✓

Answer

Inter-Quartile Range $=\text{Q}_3-\text{Q}_1$$=72.5-36.5=36$
Qrurtile Deviation $=\frac{\text{Q}_3-\text{Q}_1}{2}$$=\frac{72.5-36.5}{2}=\frac{36}{2}=18$
Cofficient of Quartile Deviation $=\frac{\text{Q}_3-\text{Q}_1}{\text{Q}_3+\text{Q}_1}$$=\frac{72.5-36.5}{72.5+36.5}=\frac{36}{109}=0.33$

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