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In the data set below, what is the mean absolute deviation? \newline3,2,9,4,1,23, 2, 9, 4, 1, 2 \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? \newline3,2,9,4,1,23, 2, 9, 4, 1, 2 \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 3,2,9,4,1,23, 2, 9, 4, 1, 2.\newlineSum of the data points: 3+2+9+4+1+2=213 + 2 + 9 + 4 + 1 + 2 = 21.\newlineNumber of data points: 66.\newlineMean = 216=3.5\frac{21}{6} = 3.5.
  2. Find Absolute Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 33 = 33.5=0.5|3 - 3.5| = 0.5.\newlineAbsolute deviation for 22 = 23.5=1.5|2 - 3.5| = 1.5.\newlineAbsolute deviation for 99 = 93.5=5.5|9 - 3.5| = 5.5.\newlineAbsolute deviation for 44 = 43.5=0.5|4 - 3.5| = 0.5.\newlineAbsolute deviation for 11 = 13.5=2.5|1 - 3.5| = 2.5.\newlineAbsolute deviation for 22 again = 23.5=1.5|2 - 3.5| = 1.5.
  3. Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 0.5+1.5+5.5+0.5+2.5+1.5=12.00.5 + 1.5 + 5.5 + 0.5 + 2.5 + 1.5 = 12.0.\newlineMean absolute deviation = 12.06=2.0\frac{12.0}{6} = 2.0.

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