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Select the outlier in the data set.\newline8,55,59,64,69,71,73,838, 55, 59, 64, 69, 71, 73, 83

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Full solution

Q. Select the outlier in the data set.\newline8,55,59,64,69,71,73,838, 55, 59, 64, 69, 71, 73, 83
  1. Calculate Mean: Calculate the mean of the data set.\newlineData set: 8,55,59,64,69,71,73,838, 55, 59, 64, 69, 71, 73, 83\newlineMean = (8+55+59+64+69+71+73+83)/8(8 + 55 + 59 + 64 + 69 + 71 + 73 + 83) / 8\newlineMean = 482/8=60.25482 / 8 = 60.25
  2. Calculate Deviations: Calculate the deviations from the mean for each number.\newlineDeviations: ∣8−60.25∣,∣55−60.25∣,∣59−60.25∣,∣64−60.25∣,∣69−60.25∣,∣71−60.25∣,∣73−60.25∣,∣83−60.25∣|8 - 60.25|, |55 - 60.25|, |59 - 60.25|, |64 - 60.25|, |69 - 60.25|, |71 - 60.25|, |73 - 60.25|, |83 - 60.25|\newlineDeviations: 52.25,5.25,1.25,3.75,8.75,10.75,12.75,22.7552.25, 5.25, 1.25, 3.75, 8.75, 10.75, 12.75, 22.75
  3. Identify Outlier: Identify the largest deviation to find the outlier. Largest deviation is 52.2552.25, which corresponds to the number 88.

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