Question

Find and interpret the mean absolute deviation of the data.

Answer 1

Using it's concept, it is found that:

• The mean absolute deviation is of 26.

• It means that the values differ from the mean by an average of 26.

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.

The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the data-set is: {101, 115, 124, 125, 173, 165, 170}.

Hence, the mean is:

$M = \frac{101 + 115 + 124 + 125 + 173 + 165 + 170}{7} = 139$

Then, the mean absolute deviation is:

$M_d = \frac{|101-139| + |115-139| + |124-139| + |125-139| + |173-139| + |165-139| + |170-139|}{7} = 26$

Hence:

• The mean absolute deviation is of 26.

• It means that the values differ from the mean by an average of 26.

You can learn more about mean absolute deviation at brainly.com/question/3250070