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Select the outlier in the data set. \newline6,60,62,64,72,73,79,866, 60, 62, 64, 72, 73, 79, 86

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Full solution

Q. Select the outlier in the data set. \newline6,60,62,64,72,73,79,866, 60, 62, 64, 72, 73, 79, 86
  1. Identify Data Set: Step 11: Identify the data set and look for numbers that seem unusually high or low compared to the others.\newlineData set: 6,60,62,64,72,73,79,866, 60, 62, 64, 72, 73, 79, 86
  2. Calculate Range: Step 22: Calculate the range of the data set to see the spread of the numbers.\newlineRange = Maximum value - Minimum value\newlineRange = 86−6=8086 - 6 = 80
  3. Calculate Mean: Step 33: Calculate the mean (average) of the data set.\newlineMean = (6+60+62+64+72+73+79+86)/8(6 + 60 + 62 + 64 + 72 + 73 + 79 + 86) / 8\newlineMean = 502/8=62.75502 / 8 = 62.75
  4. Calculate Standard Deviation: Step 44: Calculate the standard deviation to understand how much the values deviate from the mean. Standard deviation involves more complex calculations, so we'll estimate which values are far from the mean. Looking at the data, 66 is much lower than the mean compared to the rest.
  5. Compare to Mean: Step 55: Compare each number to the mean and see which is farthest away. \newline66 is significantly lower than the mean 62.7562.75 and all other numbers.

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