In the data set below, what is the mean absolute deviation? 1,9,8,7,5,6,6If 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? 1,9,8,7,5,6,6If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): __
Calculate Mean: Calculate the mean of the data set 1,9,8,7,5,6,6. Sum of data points: 1+9+8+7+5+6+6=42. Number of data points: 7. Mean = rac{42}{7} = 6.
Calculate Deviations: Calculate the absolute deviations from the mean for each data point.Absolute deviation for 1 = ∣1−6∣=5.Absolute deviation for 9 = ∣9−6∣=3.Absolute deviation for 8 = ∣8−6∣=2.Absolute deviation for 7 = ∣7−6∣=1.Absolute deviation for 5 = ∣5−6∣=1.Absolute deviation for each ∣1−6∣=50 = ∣1−6∣=51 (two times).
Calculate Mean Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations: 5+3+2+1+1+0+0=12.Mean absolute deviation = 712=1.71428571429.
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 1.71428571429 rounded to the nearest tenth is 1.7.
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