In the data set below, what is the mean absolute deviation? 2,8,9,1,1If 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? 2,8,9,1,1If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 2,8,9,1,1. Add all the numbers: 2+8+9+1+1=21. Divide by the number of data points: 21/5=4.2. Mean = 4.2.
Find Deviations: Find the absolute deviations from the mean for each data point.For 2: ∣2−4.2∣=2.2.For 8: ∣8−4.2∣=3.8.For 9: ∣9−4.2∣=4.8.For 1: ∣1−4.2∣=3.2.For 1: ∣1−4.2∣=3.2.
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Add all the absolute deviations: 2.2+3.8+4.8+3.2+3.2=17.2.Divide by the number of data points: 17.2/5=3.44.Mean absolute deviation = 3.44.
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 3.44 rounded to the nearest tenth is 3.4.
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