Calculate the mean deviation of the following income groups of five and seven members from their medians:
Given, Numbers of observations are given in two groups.
To Find: Calculate the Mean Deviation from their Median.
Formula Used: Mean Deviation =
For Group 1: Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the Income of Group 1 in Ascending order, we get
4000, 4200, 4400, 4600, 4800
Therefore, The Median = 4400
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation =
Mean Deviation Of Group 1 =
For Group 2: Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the Income of Group 2 in Ascending order, we get
3800,4000,4200,4400,4600,4800,5800
Therefore, The Median = 4400
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation =
Mean Deviation Of Group 2 =
Hence, The Mean Deviation of Group 1 is 240 and Group 2 is 457.14