We know that The MAD is <span>the mean absolute deviation of the data
step 1 </span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set. </span><span>Find the sum of the data values, and divide the sum by the number of data values </span>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 <span>Find the absolute value of the difference between each data value and the mean: |data value – mean|. </span> |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 <span>Find the sum of the absolute values of the differences. </span>=[24+4+44+54+21+34+11+14+26+44]------> 276
step 4 <span>Divide the sum of the absolute values of the differences by the number of data values. </span>276/10-----> 27.6