what is the mean absolute deviation of 12 4 6 12 10 8 4 4

The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. Lower values, on the other hand, are related to information points aggregating around them. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.

The given data set is 12 4 6 12 10 8 4 4

Mean of this data set is (4+4+4+6+8+10+12+12)/8=62/8 = 7.75

⇒7.75-4=3.75 7.75-6=1.75 7.75-8 =0.25 7.75-10=2.25 7.75-12-4.25 3.75+3.75+3.75+1.75+0.25+2.25+4.25+4.25=24

So mean absolute deviation will be 24/8 = 3.

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