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In the data set below, what is the mean absolute deviation?\newline4,7,1,3,3,5,54, 7, 1, 3, 3, 5, 5\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?\newline4,7,1,3,3,5,54, 7, 1, 3, 3, 5, 5\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: 4,7,1,3,3,5,54, 7, 1, 3, 3, 5, 5.\newlineMean = (4+7+1+3+3+5+5)/7=28/7=4(4 + 7 + 1 + 3 + 3 + 5 + 5) / 7 = 28 / 7 = 4.
  2. Find deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣4−4∣,∣7−4∣,∣1−4∣,∣3−4∣,∣3−4∣,∣5−4∣,∣5−4∣=0,3,3,1,1,1,1|4-4|, |7-4|, |1-4|, |3-4|, |3-4|, |5-4|, |5-4| = 0, 3, 3, 1, 1, 1, 1.
  3. Calculate mean absolute deviation: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (0+3+3+1+1+1+1)/7=10/7≈1.4(0 + 3 + 3 + 1 + 1 + 1 + 1) / 7 = 10 / 7 \approx 1.4 when rounded to the nearest tenth.

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