Problem

Find the mean absolute deviation of the following set of numbers: 5, 10, 15, 20, 25

Answer

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Answer

Then, average these absolute deviations: \( \frac{10 + 5 + 0 + 5 + 10}{5} = 6 \)

Steps

Step 1 ：First, calculate the mean (average) of the data set: \( \frac{5 + 10 + 15 + 20 + 25}{5} = 15 \)

Step 2 ：Next, find the absolute deviations of each data point from the mean: \(|5 - 15| = 10, |10 - 15| = 5, |15 - 15| = 0, |20 - 15| = 5, |25 - 15| = 10\)

Step 3 ：Then, average these absolute deviations: \( \frac{10 + 5 + 0 + 5 + 10}{5} = 6 \)

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