Q. 4

The lengths (in cm) of 10 rods in a shop are given below :

40.0, 52.3, 55.2, 72.9, 52.8, 79.0, 32.5, 15.2, 27.9, 30.2

(i) Find the mean deviation from the median

(ii) Find the mean deviation from the mean also.

Answer :

(i) Given, Numbers of observations are given .

To Find: Calculate the Mean Deviation from their Median.


Formula Used: Mean Deviation =


Explanation: Since, Median is the middle number of all the observation,


So, To Find the Median, Arrange the given length of shops in Ascending order, we get


15.2, 27.9, 30.2, 32.5, 40.0, 52.3, 52.8, 55.2, 72.9, 79.0


Here the Number of observations are Even then Median =


Therefore, The Median = 46.15


Deviation |d| = |x-Median|


Now, The Mean Deviation is



Mean Deviation =


Mean Deviation From Median =


Hence, The Mean Deviation is 16.74


(ii) Here, Observations 15.2, 27.9, 30.2, 32.5, 40.0, 52.3, 52.8, 55.2, 72.9, 79.0


are Given.


Deviation |d| = |x-Mean|


Mean =


Mean of the Given Observations =


And, The number of observations is 10


Now, The Mean Deviation is



Mean Deviation =


Mean Deviation of the given Observations =


Hence, The Mean Deviation is 16.64


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses