Question
If a frequency distribution has skewness $S_k = -6.6$ and quartiles deviation $= 22$, find $j$.
✓
Answer
$\text { Here. } S_k=-6.6 ; Q_d=22 ; j=?$
$S_k=\left(Q_3+Q_1\right)-2 M$
$\therefore-6.6=Q_3+Q_1-2 M$
$Q_d=22$
$\therefore \frac{Q_3-Q_1}{2}=22$
$\text { Now } j=\frac{Q_3+Q_1-2 M}{Q_3-Q_1}$
$=\frac{S_k}{Q_3-Q_1}$
$=\frac{-6.6}{44}$
$\therefore j=-0.15$
$S_k=\left(Q_3+Q_1\right)-2 M$
$\therefore-6.6=Q_3+Q_1-2 M$
$Q_d=22$
$\therefore \frac{Q_3-Q_1}{2}=22$
$\text { Now } j=\frac{Q_3+Q_1-2 M}{Q_3-Q_1}$
$=\frac{S_k}{Q_3-Q_1}$
$=\frac{-6.6}{44}$
$\therefore j=-0.15$
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