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In the data set below, what is the mean absolute deviation? \newline9,7,2,8,6,6,49, 7, 2, 8, 6, 6, 4 \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? \newline9,7,2,8,6,6,49, 7, 2, 8, 6, 6, 4 \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: 9,7,2,8,6,6,49, 7, 2, 8, 6, 6, 4\newlineMean = (9+7+2+8+6+6+4)/7=42/7=6(9 + 7 + 2 + 8 + 6 + 6 + 4) / 7 = 42 / 7 = 6
  2. Find Deviations: Find the absolute deviations from the mean.\newline∣9−6∣=3ext,∣7−6∣=1ext,∣2−6∣=4ext,∣8−6∣=2ext,∣6−6∣=0ext,∣6−6∣=0ext,∣4−6∣=2|9 - 6| = 3 ext{, } |7 - 6| = 1 ext{, } |2 - 6| = 4 ext{, } |8 - 6| = 2 ext{, } |6 - 6| = 0 ext{, } |6 - 6| = 0 ext{, } |4 - 6| = 2
  3. Calculate Mean Deviations: Calculate the mean of these absolute deviations.\newlineMean absolute deviation = (3+1+4+2+0+0+2)/7=12/7≈1.7(3 + 1 + 4 + 2 + 0 + 0 + 2) / 7 = 12 / 7 \approx 1.7 when rounded to the nearest tenth.

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