In the data set below, what is the mean absolute deviation? 6,7,1,5,5,3If 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? 6,7,1,5,5,3If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 6,7,1,5,5,3.Sum of data points: 6+7+1+5+5+3=27.Number of data points: 6.Mean = 627=4.5.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 6 = ∣6−4.5∣=1.5.Absolute deviation for 7 = ∣7−4.5∣=2.5.Absolute deviation for 1 = ∣1−4.5∣=3.5.Absolute deviation for 5 = ∣5−4.5∣=0.5.Absolute deviation for 5 = ∣5−4.5∣=0.5.Absolute deviation for ∣6−4.5∣=1.50 = ∣6−4.5∣=1.51.
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 1.5+2.5+3.5+0.5+0.5+1.5=10.5.Mean absolute deviation = 610.5=1.75.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 1.75 rounded to the nearest tenth is 1.8.
More problems from Calculate mean absolute deviation