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Median
Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order. Its value is so located in the frequency distribution that it divides in half with50% of the items below it and50% of items above it.
In the words of Dr. A. L. Bowley, if the number of the group are ranked in order according to the measurement under consideration, then the measurement of the number most nearly one half is the median,
Connor has defined it as, The median is that value of variable which divides the group into two equal parts, one comprising all values greater, and the other all values less √than the median.
Computation of Median (Individual Observation)
The following procedure is adopted:
(1) The variable is arranged in either ascending or descending order.
(2) Median is located by finding the value or size of N+1/2TH items. Symbolically.
M =Value of (N+1)/2 th item
M= Median
N= Number of items
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
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