In the data set below, what is the mean absolute deviation?1,7,9,2,9If 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?1,7,9,2,9If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 1,7,9,2,9. Sum of the data points: 1+7+9+2+9=28. Number of data points: 5. Mean = rac{28}{5} = 5.6.
Find Deviations: Find the absolute deviations from the mean for each data point.Absolute deviation for 1 = ∣1−5.6∣=4.6.Absolute deviation for 7 = ∣7−5.6∣=1.4.Absolute deviation for 9 = ∣9−5.6∣=3.4.Absolute deviation for 2 = ∣2−5.6∣=3.6.Absolute deviation for 9 = ∣9−5.6∣=3.4.
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 4.6+1.4+3.4+3.6+3.4=16.4.Mean absolute deviation = 516.4=3.28.
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 3.28 rounded to the nearest tenth is 3.3.
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