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In the data set below, what is the mean absolute deviation?\newline6,2,4,8,2,26, 2, 4, 8, 2, 2\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?\newline6,2,4,8,2,26, 2, 4, 8, 2, 2\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 6,2,4,8,2,26, 2, 4, 8, 2, 2.\newlineSum of data points: 6+2+4+8+2+2=246 + 2 + 4 + 8 + 2 + 2 = 24.\newlineNumber of data points: 66.\newlineMean = 246=4\frac{24}{6} = 4.
  2. Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.\newlineAbsolute deviation for 66 = 64=2|6 - 4| = 2.\newlineAbsolute deviation for 22 = 24=2|2 - 4| = 2.\newlineAbsolute deviation for 44 = 44=0|4 - 4| = 0.\newlineAbsolute deviation for 88 = 84=4|8 - 4| = 4.\newlineAbsolute deviation for 22 = 24=2|2 - 4| = 2.\newlineAbsolute deviation for 22 = 24=2|2 - 4| = 2.
  3. Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.\newlineSum of absolute deviations: 2+2+0+4+2+2=122 + 2 + 0 + 4 + 2 + 2 = 12.\newlineMean absolute deviation = 126=2.0\frac{12}{6} = 2.0.

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