Q. Select the outlier in the data set.8,55,59,64,69,71,73,83
Calculate Mean: Calculate the mean of the data set.Data set: 8,55,59,64,69,71,73,83Mean = (8+55+59+64+69+71+73+83)/8Mean = 482/8=60.25
Calculate Deviations: Calculate the deviations from the mean for each number.Deviations: ∣8−60.25∣,∣55−60.25∣,∣59−60.25∣,∣64−60.25∣,∣69−60.25∣,∣71−60.25∣,∣73−60.25∣,∣83−60.25∣Deviations: 52.25,5.25,1.25,3.75,8.75,10.75,12.75,22.75
Identify Outlier: Identify the largest deviation to find the outlier. Largest deviation is 52.25, which corresponds to the number 8.