we know that
The MAD is the mean absolute deviation of the data
step 1
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values
sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154
step 2
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
|130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44
step 3
Find the sum of the absolute values of the differences.
=[24+4+44+54+21+34+11+14+26+44]------> 276
step 4
Divide the sum of the absolute values of the differences by the number of data values.
276/10-----> 27.6
the answer is
27.6
