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Select the outlier in the data set. \newline13,15,23,27,28,34,41,81,80313, 15, 23, 27, 28, 34, 41, 81, 803

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Full solution

Q. Select the outlier in the data set. \newline13,15,23,27,28,34,41,81,80313, 15, 23, 27, 28, 34, 41, 81, 803
  1. Calculate Mean: Step 11: Calculate the mean of the data set.\newline(13+15+23+27+28+34+41+81+803)/9=106.444(13 + 15 + 23 + 27 + 28 + 34 + 41 + 81 + 803) / 9 = 106.444
  2. Calculate Deviations: Step 22: Calculate the deviations from the mean for each data point.\newline∣13−106.444∣=93.444|13 - 106.444| = 93.444\newline∣15−106.444∣=91.444|15 - 106.444| = 91.444\newline∣23−106.444∣=83.444|23 - 106.444| = 83.444\newline∣27−106.444∣=79.444|27 - 106.444| = 79.444\newline∣28−106.444∣=78.444|28 - 106.444| = 78.444\newline∣34−106.444∣=72.444|34 - 106.444| = 72.444\newline∣41−106.444∣=65.444|41 - 106.444| = 65.444\newline∣81−106.444∣=25.444|81 - 106.444| = 25.444\newline∣803−106.444∣=696.556|803 - 106.444| = 696.556
  3. Identify Largest Deviation: Step 33: Identify the largest deviation. The largest deviation is 696.556696.556, which is from the data point 803803.

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