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In the data set below, what is the mean absolute deviation? \newline2,1,9,4,32, 1, 9, 4, 3 \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? \newline2,1,9,4,32, 1, 9, 4, 3 \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 2,1,9,4,32, 1, 9, 4, 3. Add all the numbers: 2+1+9+4+3=192 + 1 + 9 + 4 + 3 = 19. Divide by the number of data points: 19/5=3.819 / 5 = 3.8. Mean = 3.83.8
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineFor 22: 23.8=1.8|2 - 3.8| = 1.8\newlineFor 11: 13.8=2.8|1 - 3.8| = 2.8\newlineFor 99: 93.8=5.2|9 - 3.8| = 5.2\newlineFor 44: 43.8=0.2|4 - 3.8| = 0.2\newlineFor 33: 33.8=0.8|3 - 3.8| = 0.8\newlineList of absolute deviations: 23.8=1.8|2 - 3.8| = 1.800
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineAdd all the absolute deviations: 1.8+2.8+5.2+0.2+0.8=10.81.8 + 2.8 + 5.2 + 0.2 + 0.8 = 10.8.\newlineDivide by the number of data points: 10.85=2.16\frac{10.8}{5} = 2.16.\newlineMean absolute deviation = 2.162.16
  4. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. \newline2.162.16 rounded to the nearest tenth is 2.22.2.\newlineFinal mean absolute deviation = 2.22.2

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