Question

Find the mean deviation about the median for the data :
$x_1=$ $5,7,9,10,12,15$
$f_1=$ $8,6,2,2,2,6$

Answer 1

Consider $\sum f_i=8+6+2+2+2+6=26$

$\frac{N}{2}=\frac{26}{2}=13$

so the Median is $7$

Mean deviation is given by $\frac{1}{N}\sum |x_i-M|$

$\frac{1}{13}(2+0+2+3+5+8)=\frac{17}{13}\approx 1.307$