First, compute the mean: [tex]m=\frac{75+89+145+85+80+92+104+90+100}9=\frac{860}9=95.555[/tex]
Next compute the absolute deviations for each datapoint: |75-95.555|=20.555 |89-95.555|=6.555 |145-95.555|=49.445 |85-95.555|=10.555 |80-95.555|=15.555 |92-95.555|=3.555 |104-95.555|=8.445 |90-95.555|=5.555 |100-95.555|=4.445
Next we'll take the mean of these deviations: [tex]\frac{20.555+6.555+49.445+10.555+15.555+3.555+8.445+5.555+4.445}9=\frac{124.665}9=13.8517[/tex]
The mean absolute deviation of your data is 13.8517