HCU MCA 2013 Paper

(c) Given observations
$$3, 9, 5, 3,12,10,18, 4,7,19,21
Firstly arranging these observation in ascending order.
$$3, 3, 4, 5, 7, 9,10,12,18,19, 21
$$Total term (n) = 11 (odd)
$$∴ Median(M${}_{\mathrm{d}}$)$=\left(\frac{\mathrm{n}+1}{2}\right)$th term
$=\left(\frac{\mathrm{1}1+1}{2}\right)$th term = 6th term
$=9$
$$∴Mean deviation about median$=\frac{\sum |\mathit{x}-{\mathit{M}}_{\mathrm{d}}|}{\mathit{n}}$
$=\frac{6+6+5+4+2+0+1+3+9+10+12}{11}$
$=\frac{58}{11}=5.27$