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Select the outlier in the data set. \newline28,37,61,70,72,92,96,62128, 37, 61, 70, 72, 92, 96, 621

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Full solution

Q. Select the outlier in the data set. \newline28,37,61,70,72,92,96,62128, 37, 61, 70, 72, 92, 96, 621
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order to observe the distribution of values.\newlineThe data set is already in ascending order: 28,37,61,70,72,92,96,62128, 37, 61, 70, 72, 92, 96, 621.
  2. Identify Significant Value: Look for any value that is significantly different from the rest of the data. By observation, the number 621621 stands out as it is much larger than the other numbers in the set.
  3. Compare Consecutive Differences: Compare the difference between consecutive numbers to confirm the outlier.\newlineThe differences between consecutive numbers are as follows:\newline37−28=937 - 28 = 9\newline61−37=2461 - 37 = 24\newline70−61=970 - 61 = 9\newline72−70=272 - 70 = 2\newline92−72=2092 - 72 = 20\newline96−92=496 - 92 = 4\newline621−96=525621 - 96 = 525\newlineThe difference of 525525 is significantly larger than all other differences, confirming that 621621 is the outlier.

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