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Example 1: Find the mean absolute deviation:
2,3,3,3.5,4,5,6.5,7,8,8

Example $1$ : Find the mean absolute deviation: $2,3,3,3.5,4,5,6.5,7,8,8$

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Mean, median, mode, and range

Full solution

Q. Example

1

: Find the mean absolute deviation:

2,3,3,3.5,4,5,6.5,7,8,8

Calculate Mean: First, find the mean (average) of the data set: $(2 + 3 + 3 + 3.5 + 4 + 5 + 6.5 + 7 + 8 + 8) / 10 = 50 / 10 = 5$ .
Calculate Absolute Deviations: Next, calculate the absolute deviations from the mean for each data point: $\newline$ $|2 - 5| = 3,$ $\newline$ $|3 - 5| = 2,$ $\newline$ $|3 - 5| = 2,$ $\newline$ $|3.5 - 5| = 1.5,$ $\newline$ $|4 - 5| = 1,$ $\newline$ $|5 - 5| = 0,$ $\newline$ $|6.5 - 5| = 1.5,$ $\newline$ $|7 - 5| = 2,$ $\newline$ $|8 - 5| = 3,$ $\newline$ $|8 - 5| = 3.$
Add Absolute Deviations: Now, add up all the absolute deviations: $3 + 2 + 2 + 1.5 + 1 + 0 + 1.5 + 2 + 3 + 3 = 19$ .

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