In the data set below, what is the mean absolute deviation? 2,1,2,5,6,8If 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? 2,1,2,5,6,8If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 2,1,2,5,6,8. Sum of data points: 2+1+2+5+6+8=24. Number of data points: 6. Mean = rac{24}{6} = 4.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 2 = ∣2−4∣=2.Absolute deviation for 1 = ∣1−4∣=3.Absolute deviation for 2 again = ∣2−4∣=2.Absolute deviation for 5 = ∣5−4∣=1.Absolute deviation for 6 = ∣6−4∣=2.Absolute deviation for ∣2−4∣=20 = ∣2−4∣=21.
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 2+3+2+1+2+4=14.Mean absolute deviation = 614=2.3333.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 2.3333 rounded to the nearest tenth is 2.3.
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