In the data set below, what is the mean absolute deviation? 7,7,1,1,8If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Q. In the data set below, what is the mean absolute deviation? 7,7,1,1,8If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 7,7,1,1,8.Sum of data points: 7+7+1+1+8=24.Number of data points: 5.Mean = 524=4.8.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 7 = ∣7−4.8∣=2.2.Absolute deviation for 7 = ∣7−4.8∣=2.2.Absolute deviation for 1 = ∣1−4.8∣=3.8.Absolute deviation for 1 = ∣1−4.8∣=3.8.Absolute deviation for 8 = ∣8−4.8∣=3.2.
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 2.2+2.2+3.8+3.8+3.2=15.2.Mean absolute deviation = 515.2=3.04.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 3.04 rounded to the nearest tenth is 3.0.
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