Question

Explain the steps in calculating the mean absolute deviation of a set of data.

Answer 1

Answer:

Step-by-step explanation:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Step 3: Add those deviations together.

Step 4: Divide the sum by the number of data points.

Answer 2

The mean absolute deviation of a set of data is the mean distance (or the average distance) between each data elements and the mean of the data elements

The following steps are used to calculate the mean absolute deviation.

Step 1: Start by calculating the mean of the data elements

This is represented as: $\bar x = \frac{\sum x}{n}$

Step 2: Calculate the absolute deviations

This is represented as: $|x_i - \bar x|$

Step 3: Add the absolute deviations

This is represented as: $\sum |x_i - \bar x|$

Step 4: Calculate the mean of the sum of the absolute deviations

This is represented as: $MAD = \frac{\sum |x_i - \bar x|}{n}$

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