The following data points represent the number of alligators in each body of water near Tom's house.8,5,12,15Find the mean absolute deviation (MAD) of the data set.alligators
Q. The following data points represent the number of alligators in each body of water near Tom's house.8,5,12,15Find the mean absolute deviation (MAD) of the data set.alligators
Calculate Mean: Calculate the mean of the data set.The data set is: 8,5,12,15The number of data points is 4.Mean (μ)=Number of data pointsSum of all data pointsMean (μ)=48+5+12+15Mean (μ)=440Mean (μ)=10
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. Absolute deviation for each data point is the absolute value of the difference between that data point and the mean. For 8: ∣8−10∣=∣−2∣=2 For 5: ∣5−10∣=∣−5∣=5 For 12: ∣12−10∣=∣2∣=2 For 15: ∣15−10∣=∣5∣=5
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.Sum of absolute deviations = 2+5+2+5=14Number of data points = 4Mean absolute deviation (MAD) = (Sum of absolute deviations)/(Number of data points)MAD = 14/4MAD = 3.5
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