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Select the outlier in the data set. \newline36,46,52,56,69,72,74,25036, 46, 52, 56, 69, 72, 74, 250

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Full solution

Q. Select the outlier in the data set. \newline36,46,52,56,69,72,74,25036, 46, 52, 56, 69, 72, 74, 250
  1. Identify data set: Step 11: Identify the data set and look for any number that seems significantly different from the others.\newlineData set: 36,46,52,56,69,72,74,25036, 46, 52, 56, 69, 72, 74, 250\newlineLooking at the numbers, 250250 stands out as it is much higher than the rest of the numbers.
  2. Calculate range and median: Step 22: Calculate the range and median to confirm the outlier.\newlineRange = Maximum value - Minimum value\newlineRange = 250−36=214250 - 36 = 214\newlineMedian (middle value of sorted data) = (69+72)/2=70.5(69 + 72) / 2 = 70.5\newlineThe range is very large due to the 250250, and the median is much lower than 250250.
  3. Compare outlier with median: Step 33: Compare the outlier with the median to see if it's significantly different. \newline250250 is significantly higher than the median of 70.570.5, confirming it as an outlier.

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