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Select the outlier in the data set.\newline3,70,76,82,84,88,92,993, 70, 76, 82, 84, 88, 92, 99

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Q. Select the outlier in the data set.\newline3,70,76,82,84,88,92,993, 70, 76, 82, 84, 88, 92, 99
  1. Identify data set: Identify the data set and look for the number that seems different from the others.\newlineData set: 3,70,76,82,84,88,92,993, 70, 76, 82, 84, 88, 92, 99
  2. Calculate mean: Calculate the mean (average) of the data set.\newlineMean = (3+70+76+82+84+88+92+99)/8(3 + 70 + 76 + 82 + 84 + 88 + 92 + 99) / 8\newlineMean = 594/8594 / 8\newlineMean = 74.2574.25
  3. Calculate deviations: Calculate the deviations of each number from the mean and identify the largest deviation.\newlineDeviations: 374.25=71.25|3 - 74.25| = 71.25, 7074.25=4.25|70 - 74.25| = 4.25, 7674.25=1.75|76 - 74.25| = 1.75, 8274.25=7.75|82 - 74.25| = 7.75, 8474.25=9.75|84 - 74.25| = 9.75, 8874.25=13.75|88 - 74.25| = 13.75, 9274.25=17.75|92 - 74.25| = 17.75, 9974.25=24.75|99 - 74.25| = 24.75\newlineLargest deviation: 71.2571.25 from the number 33

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