Question
Compute mean deviation from mean and coefficient of mean deviation:
Weekly Wages (ₛ): 200-400 400-600 600-800 800-1000
No. of Workers: 20 40 30 10

Answer

C.I. f M.V.(m) fm $\bar{\text{X}}=560|\text{D}|=|\text{m}-\bar{\text{X}}|$ f|D|
200-400 20 300 6,000 260 5,200
400-600 40 500 20,000 60 2,400
600-800 30 700 21,000 140 4,200
800-1000 10 900 9,000 340 3,400
  $\Sigma\text{f}=100$   $\Sigma\text{fm}=56,000$   $\Sigma\text{f|D|}=15,200$
$\bar{\text{X}}=\frac{\Sigma\text{fX}}{\Sigma\text{f}}$
$=\frac{56,000}{100}=500$
$\text{M.D.}_{\bar{\text{X}}}=\frac{\Sigma\text{f|D|}}{\Sigma\text{f}}$
$=\frac{15,200}{100}=152$
Coefficient of $\text{M.D.}_{\bar{\text{X}}}=\frac{\text{M.D.}_{\bar{\text{X}}}}{\bar{\text{X}}}$
$=\frac{152}{560}=0.27$

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