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Question

Find the mean deviation about the median for the following data.
13,17,16,11,13,10,16,11,18,12,17

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Solution

Total number of observations = 11
When arranged in ascending order, as shown: 10,11,11,12,13,13,16,16,17,17,18, the middle number is 13 and hence the median is 13.
The mean deviation about the median is given by
=(1310)+2(1311)+(1312)+2(1313)+2(1316)+2(1317)+(1318)11
=3+2(2)+1+2(0)+2(3)+2(4)+(5)11
=1111
=1

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