How does standard deviation differ from the mean absolute deviation?

  • Mean absolute deviation is always greater
  • Standard deviation is always greater
  • Standard deviation squares the deviations while mean absolute deviation takes absolute values
  • They are the same
The standard deviation and mean absolute deviation both measure the dispersion in a dataset. The key difference lies in how they treat deviations from the mean: standard deviation squares the deviations before averaging them, while mean absolute deviation takes the absolute value of deviations before averaging. As a result, standard deviation is more sensitive to extreme values than the mean absolute deviation.
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