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In the data set below, what is the mean absolute deviation? \newline5,5,6,2,45, 5, 6, 2, 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? \newline5,5,6,2,45, 5, 6, 2, 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 5,5,6,2,45, 5, 6, 2, 4.\newlineSum of the data points: 5+5+6+2+4=225 + 5 + 6 + 2 + 4 = 22.\newlineNumber of data points: 55.\newlineMean = 225=4.4\frac{22}{5} = 4.4
  2. Find Absolute Deviations: Find the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 55 = 54.4=0.6|5 - 4.4| = 0.6.\newlineAbsolute deviation for 55 = 54.4=0.6|5 - 4.4| = 0.6.\newlineAbsolute deviation for 66 = 64.4=1.6|6 - 4.4| = 1.6.\newlineAbsolute deviation for 22 = 24.4=2.4|2 - 4.4| = 2.4.\newlineAbsolute deviation for 44 = 44.4=0.4|4 - 4.4| = 0.4.
  3. Calculate Mean of Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 0.6+0.6+1.6+2.4+0.4=5.60.6 + 0.6 + 1.6 + 2.4 + 0.4 = 5.6.\newlineMean absolute deviation = 5.65=1.12\frac{5.6}{5} = 1.12
  4. Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth.\newline1.121.12 rounded to the nearest tenth is 1.11.1.

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