Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Statistics
0 votes

Find the mean deviation about the median for the following data :

$\begin{array}{1 1}(A)\;10.34 \\(B)\;3\\(C)\;2\\(D)\;7\end{array} $

Can you answer this question?

1 Answer

0 votes
Step 1:
It is a continuous data.
So median can be calculated by
median $=l+\large\frac{N/2-C}{f}$$ \times h$
Step 2 :
$\large\frac{N}{2}=\frac{50}{2} $$=25$
=> $C= 14,f=14,l=20,h=10$
Step 3:
Median $M= l+\large\frac{N/2-c}{f} $$ \times h$
$\qquad= 20+ \large\frac{11 \times 10}{ 14}$
$\qquad= 20+ 7.86 = 27.86$
Step 4:
Mean deviation about the mean $= \large\frac{\sum f_i |x_i -\bar{x}|}{\sum f_i}$
$\large\frac{517.16}{50} $$=10.34$
Hence A is the correct answer.
answered Jun 26, 2014 by meena.p
Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App