In the data set below, what is the mean absolute deviation?2,9,5,9,3,5If 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?2,9,5,9,3,5If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 2,9,5,9,3,5.Sum of data points: 2+9+5+9+3+5=33.Number of data points: 6.Mean = 633=5.5.
Find Deviations: Find the absolute deviations from the mean for each data point.Absolute deviation for 2 = ∣2−5.5∣=3.5.Absolute deviation for 9 = ∣9−5.5∣=3.5.Absolute deviation for 5 = ∣5−5.5∣=0.5.Absolute deviation for 9 = ∣9−5.5∣=3.5.Absolute deviation for 3 = ∣3−5.5∣=2.5.Absolute deviation for 5 = ∣5−5.5∣=0.5.
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 3.5+3.5+0.5+3.5+2.5+0.5=14.Mean absolute deviation = 614=2.333.
Round Mean Deviations: Round the mean absolute deviation to the nearest tenth. 2.333 rounded to the nearest tenth is 2.3.
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