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In the data set below, what is the mean absolute deviation?\newline8,5,9,3,4,5,88, 5, 9, 3, 4, 5, 8\newlineIf the answer is a decimal, round it to the nearest tenth.\newlinemean absolute deviation (MAD): __\_\_

Full solution

Q. In the data set below, what is the mean absolute deviation?\newline8,5,9,3,4,5,88, 5, 9, 3, 4, 5, 8\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.\newlineData set: 8,5,9,3,4,5,88, 5, 9, 3, 4, 5, 8.\newlineMean = (8+5+9+3+4+5+8)/7=42/7=6(8 + 5 + 9 + 3 + 4 + 5 + 8) / 7 = 42 / 7 = 6.
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: 86=2|8 - 6| = 2, 56=1|5 - 6| = 1, 96=3|9 - 6| = 3, 36=3|3 - 6| = 3, 46=2|4 - 6| = 2, 56=1|5 - 6| = 1, 86=2|8 - 6| = 2.
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (2+1+3+3+2+1+2)/7=14/7=2.0(2 + 1 + 3 + 3 + 2 + 1 + 2) / 7 = 14 / 7 = 2.0.

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