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In the data set below, what is the mean absolute deviation?\newline5,8,8,9,4,7,85, 8, 8, 9, 4, 7, 8\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?\newline5,8,8,9,4,7,85, 8, 8, 9, 4, 7, 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: 5,8,8,9,4,7,85, 8, 8, 9, 4, 7, 8.\newlineMean = (5+8+8+9+4+7+8)/7=49/7=7(5 + 8 + 8 + 9 + 4 + 7 + 8) / 7 = 49 / 7 = 7.
  2. Find Deviations: Find the absolute deviations from the mean.\newlineAbsolute deviations: ∣5−7∣=2|5 - 7| = 2, ∣8−7∣=1|8 - 7| = 1, ∣8−7∣=1|8 - 7| = 1, ∣9−7∣=2|9 - 7| = 2, ∣4−7∣=3|4 - 7| = 3, ∣7−7∣=0|7 - 7| = 0, ∣8−7∣=1|8 - 7| = 1.
  3. Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (2+1+1+2+3+0+1)/7=10/7≈1.4(2 + 1 + 1 + 2 + 3 + 0 + 1) / 7 = 10 / 7 \approx 1.4 when rounded to the nearest tenth.

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