In the data set below, what is the mean absolute deviation? 2,1,9,4,3If 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? 2,1,9,4,3If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 2,1,9,4,3. Add all the numbers: 2+1+9+4+3=19. Divide by the number of data points: 19/5=3.8. Mean = 3.8
Find Deviations: Find the absolute deviations from the mean for each data point.For 2: ∣2−3.8∣=1.8For 1: ∣1−3.8∣=2.8For 9: ∣9−3.8∣=5.2For 4: ∣4−3.8∣=0.2For 3: ∣3−3.8∣=0.8List of absolute deviations: ∣2−3.8∣=1.80
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Add all the absolute deviations: 1.8+2.8+5.2+0.2+0.8=10.8.Divide by the number of data points: 510.8=2.16.Mean absolute deviation = 2.16
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 2.16 rounded to the nearest tenth is 2.2.Final mean absolute deviation = 2.2
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