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It is the value which exceeded by the same number of observations, i.e. it is the value such that the number of observations above it is equal to the number of observations below it. The median is thus a positional average.

In case of ungrouped data, if the number of observations is odd then the median is the value after the values has been arranged in ascending or descending order of magnitude.

35 29 44 72 34 64 41 50 54 39 58

Find the median of this data set.

29 34 35 39 41 44 50 54 58 64 72

Middle term will be the median of this data set. Hence the 6

29 34 35 39 41

Median= 44.

In case of even number of observations, there are two terms.

25 20 15 35 18 40

15 18

For this data set median will be the average of two middle term which are 3

So Median = (20+25)/2 =