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In the data set below, what is the mean absolute deviation? \newline2,8,9,1,12, 8, 9, 1, 1 \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? \newline2,8,9,1,12, 8, 9, 1, 1 \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 2,8,9,1,12, 8, 9, 1, 1. Add all the numbers: 2+8+9+1+1=212 + 8 + 9 + 1 + 1 = 21. Divide by the number of data points: 21/5=4.221 / 5 = 4.2. Mean = 4.24.2.
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineFor 22: 24.2=2.2|2 - 4.2| = 2.2.\newlineFor 88: 84.2=3.8|8 - 4.2| = 3.8.\newlineFor 99: 94.2=4.8|9 - 4.2| = 4.8.\newlineFor 11: 14.2=3.2|1 - 4.2| = 3.2.\newlineFor 11: 14.2=3.2|1 - 4.2| = 3.2.
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineAdd all the absolute deviations: 2.2+3.8+4.8+3.2+3.2=17.22.2 + 3.8 + 4.8 + 3.2 + 3.2 = 17.2.\newlineDivide by the number of data points: 17.2/5=3.4417.2 / 5 = 3.44.\newlineMean absolute deviation = 3.443.44.
  4. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 3.443.44 rounded to the nearest tenth is 3.43.4.

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