Question

Find the mean deviation about the median xi= 15,21,27,30,35 and fi =3,5,6,7,8​

Answer 1

Step-by-step explanation:

we have to find out mean deviation about Median , so first of all we have to find out Median and then we have to calculate mean deviation about Median by using formula ,

= ∑fᵢ(xᵢ - M)/∑fᵢ

see attachment ,

here,

N =.∑fᵢ = 29 ( an odd number )

so, Median (M) = {( N + 1)/2 }th observation

= {(29 + 1)/2}th observation

= 15th observation

= 30

\begin{gathered}\therefore\:Mean\: deviation\: about\: Median=\frac{\sum{f_i | (x_i-M)| }}{\sum{f_i}}\\\\=\frac{148}{29}\\\\=5.1\end{gathered}

∴MeandeviationaboutMedian=

∑f

i

∑f

i

∣(x

i

−M)∣

=

29

148

=5.1