In the data set below, what is the mean absolute deviation?2amp;3amp;8amp;8amp;6amp;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?238869If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): □
Calculate Mean: Calculate the mean (average) of the data set 2,3,8,8,6,9.To find the mean, add all the numbers together and then divide by the number of values in the data set.Mean = (2+3+8+8+6+9)/6Mean = 36/6Mean = 6
Absolute Deviations: Calculate the absolute deviations from the mean for each data point. This involves subtracting the mean from each data point and taking the absolute value of the result. Absolute deviations: ∣2−6∣, ∣3−6∣, ∣8−6∣, ∣8−6∣, ∣6−6∣, ∣9−6∣ Absolute deviations: 4, 3, 2, 2, ∣3−6∣0, 3
Mean of Deviations: Calculate the mean of the absolute deviations. Add all the absolute deviations together and then divide by the number of values. Mean absolute deviation (MAD) = (4+3+2+2+0+3)/6 Mean absolute deviation (MAD) = 14/6 Mean absolute deviation (MAD) ≈2.333...
Round MAD: Round the mean absolute deviation to the nearest tenth.Mean absolute deviation (MAD) ≈2.3
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