In the data set below, what is the mean absolute deviation?5,9,7,5,7If 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?5,9,7,5,7If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate mean: Calculate the mean of the data set 5,9,7,5,7.Sum of the data points: 5+9+7+5+7=33.Number of data points: 5.Mean calculation: 533=6.6.
Find deviations: Find the absolute deviations from the mean for each data point.Absolute deviation for 5 = ∣5−6.6∣=1.6.Absolute deviation for 9 = ∣9−6.6∣=2.4.Absolute deviation for 7 = ∣7−6.6∣=0.4.Repeat for all data points.
Calculate mean of deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 1.6+2.4+0.4+1.6+0.4=6.4.Mean of absolute deviations: 56.4=1.28.
Round to nearest tenth: Round the mean of absolute deviations to the nearest tenth. 1.28 rounded to the nearest tenth is 1.3.
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