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In the data set below, what is the mean absolute deviation?\newline2,9,5,9,3,52, 9, 5, 9, 3, 5\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinemean absolute deviation (MAD): __\_\_

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Q. In the data set below, what is the mean absolute deviation?\newline2,9,5,9,3,52, 9, 5, 9, 3, 5\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinemean absolute deviation (MAD): __\_\_
  1. Calculate Mean: Calculate the mean of the data set 2,9,5,9,3,52, 9, 5, 9, 3, 5.\newlineSum of data points: 2+9+5+9+3+5=332 + 9 + 5 + 9 + 3 + 5 = 33.\newlineNumber of data points: 66.\newlineMean = 336=5.5\frac{33}{6} = 5.5.
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 22 = 25.5=3.5|2 - 5.5| = 3.5.\newlineAbsolute deviation for 99 = 95.5=3.5|9 - 5.5| = 3.5.\newlineAbsolute deviation for 55 = 55.5=0.5|5 - 5.5| = 0.5.\newlineAbsolute deviation for 99 = 95.5=3.5|9 - 5.5| = 3.5.\newlineAbsolute deviation for 33 = 35.5=2.5|3 - 5.5| = 2.5.\newlineAbsolute deviation for 55 = 55.5=0.5|5 - 5.5| = 0.5.
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 3.5+3.5+0.5+3.5+2.5+0.5=143.5 + 3.5 + 0.5 + 3.5 + 2.5 + 0.5 = 14.\newlineMean absolute deviation = 146=2.333\frac{14}{6} = 2.333.
  4. Round Mean Deviations: Round the mean absolute deviation to the nearest tenth. 2.3332.333 rounded to the nearest tenth is 2.32.3.

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