Mean Deviation from Median in Case of Individual Series
Step 1: Calculate the specific average (Median) from which the mean deviation is to be found.
Step 2: Obtain absolute (positive) deviations of each observation from the median.
Step 3: Absolute deviations are totalled up to find out ∑|D|.
Step 4: Apply the formula
Mean Deviation from Median (MDMe) =
Example 1:
Calculate the mean deviation from median for the given data: 10, 16, 22, 24, 28.
Solution:
Median =
Median =
Median = Size of 3rd item
Median = 22
Mean Deviation from Median (MDMe) =
Mean Deviation from Median (MDMe) =
Mean Deviation from Median (MDMe) = 5.2
Coefficient of Mean Deviation from Median =
Coefficient of Mean Deviation from Median =
Coefficient of Mean Deviation from Median = 0.23
Example 2:
Calculate the mean deviation from median for the given data: 20, 24, 32, 40, 50, 54, 60.
Solution:
Median =
Median = Size~of~[\frac{7+1}{2}]^{th}~item
Median = Size of 4th item
Median = 40
Mean Deviation from Median (MDMe) =
Mean Deviation from Median (MDMe) =
Mean Deviation from Median (MDMe) = 12.57
Coefficient of Mean Deviation from Median =
Coefficient of Mean Deviation from Median =
Coefficient of Mean Deviation from Median = 0.31