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Select the outlier in the data set.\newline8,69,71,72,74,79,81,918, 69, 71, 72, 74, 79, 81, 91

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Full solution

Q. Select the outlier in the data set.\newline8,69,71,72,74,79,81,918, 69, 71, 72, 74, 79, 81, 91
  1. Identify data set: Step 11: Identify the data set and look for numbers that stand out.\newlineData set: 8,69,71,72,74,79,81,918, 69, 71, 72, 74, 79, 81, 91\newlineLooking at the numbers, 88 is significantly lower than all other numbers which are closely grouped together.
  2. Calculate range: Step 22: Calculate the range of the rest of the numbers to confirm the outlier.\newlineRange calculation for 69,71,72,74,79,81,9169, 71, 72, 74, 79, 81, 91:\newlineMaximum = 9191, Minimum = 6969\newlineRange = Maximum - Minimum = 91−69=2291 - 69 = 22
  3. Compare deviation: Step 33: Compare the suspected outlier's deviation from the nearest number. Deviation of 88 from 6969 (the next smallest number): Deviation = 69−8=6169 - 8 = 61 This deviation is much larger than the range of the main group (2222), confirming 88 as an outlier.

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