You do not have absolute deviation in isolation. Absolute deviation is usually defined around some measure of central tendency - usually the mean but it could be another measure.
The absolute deviation of an observation x, about a measure m is |x - m| which is the non-negative value of (x - m). That is,
|x - m| = x - m if x ≥ m
and m - x if x < m
Chat with our AI personalities
None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0
Add all the absolute deviations together and divide by their number.
You calculate the mean.For each observation, you calculate its deviation from the mean.Convert the deviation to absolute deviation.Calculate the mean of these absolute deviations.
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
The range and mean absolute deviation are: Range = 29 Mean absolute deviation = 8.8