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Select the outlier in the data set.\newline1,37,39,40,41,44,46,481, 37, 39, 40, 41, 44, 46, 48

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Full solution

Q. Select the outlier in the data set.\newline1,37,39,40,41,44,46,481, 37, 39, 40, 41, 44, 46, 48
  1. Identify data set: Step 11: Identify the data set and look for any number that seems significantly different from the others.\newlineData set: 1,37,39,40,41,44,46,481, 37, 39, 40, 41, 44, 46, 48
  2. Calculate range and median: Step 22: Calculate the range and median to see if 11 stands out.\newlineRange =Maximum value−Minimum value= \text{Maximum value} - \text{Minimum value}\newlineRange =48−1=47= 48 - 1 = 47\newlineMedian (middle value of sorted list) =(40+41)/2=40.5= (40 + 41) / 2 = 40.5
  3. Compare to median and range: Step 33: Compare each number to the median and range, 11 is much lower than the median and close to the lower end of the range.\newline11 is significantly lower than all other numbers, which are closely grouped between 3737 and 4848.

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