Using it's concept, it is found that the mean absolute deviation for the data-set is of 4.17.
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.
In this problem, the data-set is 63, 70, 68, 73, 58, 67, hence the mean is given by:
[tex]M = \frac{63 + 70 + 68 + 73 + 58 + 67}{6} = 66.5[/tex]
Then, the mean absolute deviation is given by:
[tex]MAD = \frac{|63 - 66.5| + |70 - 66.5| + |68 - 66.5| + |73 - 66.5| + |58 - 66.5| + |67 - 66.5|}{6} = 4.17[/tex]
More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
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