Kennedy noticed that the past five months, not including March, had the following rain totals: [ 7.02, 1.76, 7.62, 4.08, 1.73 1 What is the Mean Absolute Deviation for the past five months?
step 1
Find out the mean of the data
so
mean=(7.02+1.76+7.62+4.08+1.73)/5
mean=22.21/5
mean=4.44
step 2
Remember that
Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean
so
7.02-4.44=2.58
4.44-1.76=2.68
7.62-4.44=3.18
4.44-4.08=0.36
4.44-1.73=2.71
step 3
Find the average
(2.58+2.68+3.18+0.36+2.71)/5
=11.51/5
=2.30
therefore
the answer is
Mean absolute deviation is 2.30