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In the data set below, what is the mean absolute deviation?\newline5,9,7,5,75, 9, 7, 5, 7\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?\newline5,9,7,5,75, 9, 7, 5, 7\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 5,9,7,5,75, 9, 7, 5, 7.\newlineSum of the data points: 5+9+7+5+7=335 + 9 + 7 + 5 + 7 = 33.\newlineNumber of data points: 55.\newlineMean calculation: 335=6.6\frac{33}{5} = 6.6.
  2. Find deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 55 = 56.6=1.6|5 - 6.6| = 1.6.\newlineAbsolute deviation for 99 = 96.6=2.4|9 - 6.6| = 2.4.\newlineAbsolute deviation for 77 = 76.6=0.4|7 - 6.6| = 0.4.\newlineRepeat for all data points.
  3. Calculate mean of deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 1.6+2.4+0.4+1.6+0.4=6.41.6 + 2.4 + 0.4 + 1.6 + 0.4 = 6.4.\newlineMean of absolute deviations: 6.45=1.28\frac{6.4}{5} = 1.28.
  4. Round to nearest tenth: Round the mean of absolute deviations to the nearest tenth. \newline1.281.28 rounded to the nearest tenth is 1.31.3.

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