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Select the outlier in the data set. \newline31,41,53,54,66,69,77,89,40931, 41, 53, 54, 66, 69, 77, 89, 409

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Full solution

Q. Select the outlier in the data set. \newline31,41,53,54,66,69,77,89,40931, 41, 53, 54, 66, 69, 77, 89, 409
  1. Identify data set: Step 11: Identify the data set and look for any number that seems unusually high or low compared to the others.\newlineData set: 31,41,53,54,66,69,77,89,40931, 41, 53, 54, 66, 69, 77, 89, 409\newlineObservation: 409409 is significantly higher than all other numbers.
  2. Calculate range and median: Step 22: Calculate the range and median to confirm if 409409 is an outlier.\newlineRange = Maximum value - Minimum value\newlineRange = 409−31=378409 - 31 = 378\newlineMedian (middle value of sorted data) = 6666
  3. Compare to rest of data set: Step 33: Compare 409409 to the rest of the data set to see if it falls outside a typical range.\newlineAll other numbers are between 3131 and 8989, which makes 409409 stand out as it is much higher.

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