Respuesta :

Using it's formula, it is found that the Mean Absolute Deviation is given by:

D.4.24

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 mean is given by:

[tex]M = \frac{5 + 11 + 2 + 7 + 16}{5} = 8.2[/tex]

Hence, the mean absolute deviation is given by:

[tex]M_d = \frac{|5-8.2| + |11-8.2| + |2-8.2| + |7-8.2| + |16-8.2|}{5} = 4.24[/tex]

Hence option D is correct.

More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070

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