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Select the outlier in the data set. \newline20,29,31,38,39,42,64,61220, 29, 31, 38, 39, 42, 64, 612

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Full solution

Q. Select the outlier in the data set. \newline20,29,31,38,39,42,64,61220, 29, 31, 38, 39, 42, 64, 612
  1. Identify Data Set: Step 11: Identify the data set and look for any number that seems significantly different from the others.\newlineData set: 20,29,31,38,39,42,64,61220, 29, 31, 38, 39, 42, 64, 612\newlineObservation: 612612 is much larger than the other numbers.
  2. Calculate Range and Median: Step 22: Calculate the range and median to confirm the outlier.\newlineRange = Maximum value - Minimum value\newlineRange = 612−20=592612 - 20 = 592\newlineMedian (middle value of sorted data) = (39+42)/2=40.5(39 + 42) / 2 = 40.5
  3. Compare Outlier with Median: Step 33: Compare the outlier with the median to see how far it deviates.\newlineDifference between 612612 and median = 612−40.5=571.5612 - 40.5 = 571.5\newlineThis difference is significantly larger than any other difference in the data set.

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