Answer:The mean absolute deviation (MAD) of the data set=2.17
Step-by-step explanation:
The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each data value in a data set.
Given the data set
3, 10, 6, 9, 7, 4
First find the mean
Mean =Sum of data set / Number of data set
=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5
Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean
Value distance from mean
3, 6.5 -3 3.5
10 6.5 -10 3.5
6, 6.5-6 0.5
9, 6.5 -9 2.5
7, 6.5 -7 0.5
4 6.5 -4 2. 5
Last step is to find the mean of the distances which is
Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) / 6
=13/6
=2.166666 rounded up to 2.17
