In the data set below, what is the mean absolute deviation?6,3,1,6,6If 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?6,3,1,6,6If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): _____
Calculate Mean: Calculate the mean of the data set.To find the mean, add all the numbers together and divide by the number of data points.Mean = (6+3+1+6+6)/5Mean = 22/5Mean = 4.4
Find Absolute Deviation: Find the absolute deviation for each data point.The absolute deviation is the absolute value of the difference between each data point and the mean.Absolute deviation for 6 = ∣6−4.4∣=1.6Absolute deviation for 3 = ∣3−4.4∣=1.4Absolute deviation for 1 = ∣1−4.4∣=3.4Absolute deviation for the other two 6s will be the same as the first one, which is 1.6 each.
Calculate Mean Absolute Deviation: Calculate the mean of the absolute deviations.Add all the absolute deviations together and divide by the number of data points.Mean absolute deviation (MAD) = (1.6+1.4+3.4+1.6+1.6)/5Mean absolute deviation (MAD) = 9.6/5Mean absolute deviation (MAD) = 1.92
Round MAD: Round the mean absolute deviation to the nearest tenth. 1.92 rounded to the nearest tenth is 1.9, since the digit in the hundredths place is 2, which is less than 5.
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