In the data set below, what is the mean absolute deviation? 3,8,4,4,9If 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? 3,8,4,4,9If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 3,8,4,4,9.Sum of data points: 3+8+4+4+9=28Number of data points: 5Mean calculation: 528=5.6
Absolute Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 3 = ∣3−5.6∣=2.6Absolute deviation for 8 = ∣8−5.6∣=2.4Absolute deviation for 4 = ∣4−5.6∣=1.6Absolute deviation for 4 = ∣4−5.6∣=1.6Absolute deviation for 9 = ∣9−5.6∣=3.4
Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 2.6+2.4+1.6+1.6+3.4=11.6Mean of absolute deviations: 11.6/5=2.32
Round Rounded Value: Round the mean of absolute deviations to the nearest tenth.Rounded value: 2.32 rounds to 2.3
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