The median absolute deviation (MAD) is a robust measure of the variability of a unvariate sample of quantitative data. MAD - Mean absolute deviation of an element of a data set is the absolute difference between that element and a given point. This worksheet help you to understand how to compute mean absolute deviation. The formula used to calculate Mean absolute deviation is,
Mean Absolute Deviation Example
Calculate Mean absolute deviation whose inputs are 10, 20,30,40,50
Total Inputs(N) =(10,20,30,40,50)
Total Inputs(N)=5
Mean (xm)= (x1+x2+x3...xN)/N
Mean (xm)= 150/5
Means (xm)= 30
MAD = 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|)
MAD = 1/5(|10-30|+|20-30|+|30-30|+|40-30|+|50-30|)
MAD = 1/5(20+10+0+10+20))
MAD =12
When you try such calculations this mean absolute deviation Calculator can be used to verify the results of your calculations.