In the data set below, what is the mean absolute deviation?2,5,2,1,7,4If 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?2,5,2,1,7,4If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 2,5,2,1,7,4.Sum of the data points: 2+5+2+1+7+4=21.Number of data points: 6.Mean = 621=3.5.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 2 = ∣2−3.5∣=1.5.Absolute deviation for 5 = ∣5−3.5∣=1.5.Absolute deviation for 2 = ∣2−3.5∣=1.5.Absolute deviation for 1 = ∣1−3.5∣=2.5.Absolute deviation for 7 = ∣7−3.5∣=3.5.Absolute deviation for ∣2−3.5∣=1.50 = ∣2−3.5∣=1.51.
Calculate Mean of Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 1.5+1.5+1.5+2.5+3.5+0.5=11.Number of data points: 6.Mean absolute deviation = 611=1.8333.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth.1.8333 rounded to the nearest tenth is 1.8.
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