In the data set below, what is the mean absolute deviation?9,3,5,7,3If 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?9,3,5,7,3If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 9,3,5,7,3. Add all the numbers: 9+3+5+7+3=27. Divide by the number of data points: 27/5=5.4. Mean = 5.4
Find Deviations: Find the absolute deviations from the mean for each data point.For 9: ∣9−5.4∣=3.6For 3: ∣3−5.4∣=2.4For 5: ∣5−5.4∣=0.4For 7: ∣7−5.4∣=1.6For 3: ∣3−5.4∣=2.4List of absolute deviations: ∣9−5.4∣=3.60
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Add all the absolute deviations: 3.6+2.4+0.4+1.6+2.4=10.4.Divide by the number of data points: 510.4=2.08.Mean absolute deviation = 2.08
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 2.08 rounded to the nearest tenth is 2.1.Final mean absolute deviation = 2.1
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