Mean absolute Deviation. Recall that the variance and standard deviation use squared deviations because the mean deviation for any data set is zero. Another way to avoid negative deviations offsetting positive ones is to use the absolute value of the deviations. The mean absolute deviation (MAD) is a measure of spread that looks at the average of the absolute values of the deviations:

Use this measure of variability for Exercises 84 and 85.

Question 3.197

84. Mean absolute Deviation for the fuel economy Data. Refer to Table 7 on page 123.

  1. Find the mean absolute deviation for cylinders, engine size, and city mpg.
  2. According to the mean absolute deviation, which variable has the greatest variability? The least variability?