In the data set below, what is the mean absolute deviation? 3,3,6,6,6If 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? 3,3,6,6,6If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Step 1: Calculate the mean of the data set 3,3,6,6,6. Add all the numbers: 3+3+6+6+6=24. There are 5 data points. Divide the total by the number of data points: 24/5=4.8. Mean: 4.8
Absolute Deviations: Step 2: Calculate the absolute deviations from the mean for each data point.For 3: ∣3−4.8∣=1.8.For 6: ∣6−4.8∣=1.2.Absolute deviations: 1.8, 1.8, 1.2, 1.2, 1.2
Mean of Absolute Deviations: Step 3: Calculate the mean of the absolute deviations. Add all the absolute deviations: 1.8+1.8+1.2+1.2+1.2=7.2. There are 5 data points. Divide the total by the number of data points: 7.2/5=1.44. Mean of absolute deviations: 1.44
Round to Nearest Tenth: Step 4: Round the mean of absolute deviations to the nearest tenth. 1.44 rounded to the nearest tenth is 1.4.Mean of absolute deviations: 1.4
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