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In the data set below, what is the mean absolute deviation?\newline1,7,9,2,91, 7, 9, 2, 9\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?\newline1,7,9,2,91, 7, 9, 2, 9\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 1,7,9,2,91, 7, 9, 2, 9.
    Sum of the data points: 1+7+9+2+9=281 + 7 + 9 + 2 + 9 = 28.
    Number of data points: 55.
    Mean = rac{28}{5} = 5.6.
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 11 = 15.6=4.6|1 - 5.6| = 4.6.\newlineAbsolute deviation for 77 = 75.6=1.4|7 - 5.6| = 1.4.\newlineAbsolute deviation for 99 = 95.6=3.4|9 - 5.6| = 3.4.\newlineAbsolute deviation for 22 = 25.6=3.6|2 - 5.6| = 3.6.\newlineAbsolute deviation for 99 = 95.6=3.4|9 - 5.6| = 3.4.
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 4.6+1.4+3.4+3.6+3.4=16.44.6 + 1.4 + 3.4 + 3.6 + 3.4 = 16.4.\newlineMean absolute deviation = 16.45=3.28\frac{16.4}{5} = 3.28.
  4. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 3.283.28 rounded to the nearest tenth is 3.33.3.

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