To find the mean absolute deviation, first calculate the mean of the data:
Mean = (13 + 18 + 10 + 8 + 7 + 6 + 16 + 14 + 8 + 10) / 10
Mean = 100 / 10
Mean = 10
Next, calculate the absolute deviations of each data point from the mean.
Absolute deviations:
|13 - 10| = 3
|18 - 10| = 8
|10 - 10| = 0
|8 - 10| = 2
|7 - 10| = 3
|6 - 10| = 4
|16 - 10| = 6
|14 - 10| = 4
|8 - 10| = 2
|10 - 10| = 0
Add up the absolute deviations and divide by the number of data points to get the mean absolute deviation:
Mean absolute deviation = (3 + 8 + 0 + 2 + 3 + 4 + 6 + 4 + 2 + 0) / 10
Mean absolute deviation = 32 / 10
Mean absolute deviation = 3.2
Therefore, the mean absolute deviation of the data is 3.2.
Elizabeth recorded the number of days of precipitation each of the past 10 months.
Days of Precipitation
Jan Feb Mar Apr May Jun Jul Aug Sept Oct
13 18 10 8 7 6 16 14 8 10
What is the mean absolute deviation of the data?
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