In the data set below, what is the mean absolute deviation? 4,5,4,7,3,1If 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? 4,5,4,7,3,1If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 4,5,4,7,3,1. Sum of the data points: 4+5+4+7+3+1=24. Number of data points: 6. Mean = 624=4.0.
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 4 = ∣4−4.0∣=0.Absolute deviation for 5 = ∣5−4.0∣=1.Absolute deviation for 4 = ∣4−4.0∣=0.Absolute deviation for 7 = ∣7−4.0∣=3.Absolute deviation for 3 = ∣3−4.0∣=1.Absolute deviation for ∣4−4.0∣=00 = ∣4−4.0∣=01.
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 0+1+0+3+1+3=8.Number of data points: 6.Mean absolute deviation = 68=1.333.
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 1.333 rounded to the nearest tenth is 1.3.
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