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In the data set below, what is the mean absolute deviation?\newline4,4,9,4,8,5,14, 4, 9, 4, 8, 5, 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?\newline4,4,9,4,8,5,14, 4, 9, 4, 8, 5, 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.\newlineData set: 4,4,9,4,8,5,14, 4, 9, 4, 8, 5, 1\newlineMean = (4+4+9+4+8+5+1)/7=35/7=5(4 + 4 + 9 + 4 + 8 + 5 + 1) / 7 = 35 / 7 = 5
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣4−5∣,∣4−5∣,∣9−5∣,∣4−5∣,∣8−5∣,∣5−5∣,∣1−5∣|4 - 5|, |4 - 5|, |9 - 5|, |4 - 5|, |8 - 5|, |5 - 5|, |1 - 5|\newlineAbsolute deviations: 1,1,4,1,3,0,41, 1, 4, 1, 3, 0, 4
  3. Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (1+1+4+1+3+0+4)/7=14/7=2.0(1 + 1 + 4 + 1 + 3 + 0 + 4) / 7 = 14 / 7 = 2.0

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