In the data set below, what is the mean absolute deviation? 3,3,9,4,7,7If 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? 3,3,9,4,7,7If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 3,3,9,4,7,7.Sum of data points: 3+3+9+4+7+7=33.Number of data points: 6.Mean = 633=5.5.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 3 = ∣3−5.5∣=2.5.Absolute deviation for 3 = ∣3−5.5∣=2.5.Absolute deviation for 9 = ∣9−5.5∣=3.5.Absolute deviation for 4 = ∣4−5.5∣=1.5.Absolute deviation for 7 = ∣7−5.5∣=1.5.Absolute deviation for 7 = ∣7−5.5∣=1.5.
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 2.5+2.5+3.5+1.5+1.5+1.5=13.Mean absolute deviation = 613=2.16666666667.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 2.16666666667 rounded to the nearest tenth is 2.2.
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