Find the mean absolute deviation (MAD) of the data in the dot plot below.
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∻Solution by Steps∻ ‖ step 1 ⋮ Calculate the mean of the data set {22, 23, 23, 25, 27}. ‖ ‖ step 2 ⋮ The mean (average) is the sum of the data points divided by the number of data points: $\frac{22 + 23 + 23 + 25 + 27}{5} = \frac{120}{5} = 24$. ‖ ‖ step 3 ⋮ Calculate the absolute deviations from the mean for each data point: $|22 - 24|, |23 - 24|, |23 - 24|, |25 - 24|, |27 - 24|$. ‖ ‖ step 4 ⋮ The absolute deviations are: $2, 1, 1, 1, 3$. ‖ ‖ step 5 ⋮ Calculate the mean absolute deviation (MAD) by finding the mean of these absolute deviations: $\frac{2 + 1 + 1 + 1 + 3}{5} = \frac{8}{5} = 1.6$. ‖ ∻Answer∻ ⚹ The mean absolute deviation (MAD) of the data is 1.6. ⚹ ∻Key Concept∻ ⚹Mean Absolute Deviation (MAD)⚹ ∻Explanation∻ ⚹MAD is the average of the absolute deviations from the mean of a data set. It measures the spread of the data points.⚹◊What is the formula for calculating the Mean Absolute Deviation (MAD) of a data set?⍭ Generate me a similar question◊

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