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In the data set below, what is the mean absolute deviation? \newline6,5,4,3,66, 5, 4, 3, 6 \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? \newline6,5,4,3,66, 5, 4, 3, 6 \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 6,5,4,3,66, 5, 4, 3, 6.\newlineSum of the data points: 6+5+4+3+6=246 + 5 + 4 + 3 + 6 = 24.\newlineNumber of data points: 55.\newlineMean = 245=4.8\frac{24}{5} = 4.8.
  2. Find Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 66 = 64.8=1.2|6 - 4.8| = 1.2.\newlineAbsolute deviation for 55 = 54.8=0.2|5 - 4.8| = 0.2.\newlineAbsolute deviation for 44 = 44.8=0.8|4 - 4.8| = 0.8.\newlineAbsolute deviation for 33 = 34.8=1.8|3 - 4.8| = 1.8.\newlineAbsolute deviation for 66 = 64.8=1.2|6 - 4.8| = 1.2.
  3. Calculate Mean Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 1.2+0.2+0.8+1.8+1.2=5.21.2 + 0.2 + 0.8 + 1.8 + 1.2 = 5.2.\newlineMean absolute deviation = 5.25=1.04\frac{5.2}{5} = 1.04.
  4. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth.\newline1.041.04 rounded to the nearest tenth is 1.01.0.

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