The steps to find the mean absolute deviation are given as follows:
- The mean of the data set is of 58.
- The distances are given as follows: 10, 4, 1, 4, 11.
What is the mean absolute deviation of a data-set?
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations, that is, it is the mean of the distances.
- The mean absolute deviation represents the average by which the values differ from the mean.
The data-set is given by:
48, 54, 57, 62, 69
The mean of the data-set is:
M = (48 + 54 + 57 + 62 + 69)/5 = 58.
The distances are given as follows:
Hence the mean absolute deviation is:
MAD = (10 + 4 + 1 + 4 + 11)/5 = 6.2.
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