What is the mean absolute deviation of the set of data 6, 8, 2, 10, 5?

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Answer 1 · 2016-11-03T14:32:35

The mean absolute deviation of the set of data is #2.24#.

The mean of data set #{6,8,2,10,5}# is

#(6+8+2+10+5)/5=31/5=6.2#

Deviations from mean are #{6-6.2,8-6.2,2-6.2,10-6.2,5-6.2}#

or #{-0.2,1.8,-4.2,3.8,-1.2}#

and their absolute values are #{0.2,1.8,4.2,3.8,1.2}#

The mean absolute deviation of the set of data is

#(0.2+1.8+4.2+3.8+1.2)/5=11.2/5=2.24#