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Select the outlier in the data set.\newline53,63,67,69,70,71,72,76,74753, 63, 67, 69, 70, 71, 72, 76, 747\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

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Identify an outlier and describe the effect of removing itright chevron icon

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Q. Select the outlier in the data set.\newline53,63,67,69,70,71,72,76,74753, 63, 67, 69, 70, 71, 72, 76, 747\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
  1. Identify Outlier: Identify the outlier in the given data set: 53,63,67,69,70,71,72,76,74753, 63, 67, 69, 70, 71, 72, 76, 747. An outlier is a data point that is significantly different from the rest of the data. In this case, 747747 is much larger than all other numbers and is the outlier.
  2. Remove Outlier: Remove the outlier 747747 from the data set and observe the change in the mean.\newlineThe original data set with the outlier: 53,63,67,69,70,71,72,76,74753, 63, 67, 69, 70, 71, 72, 76, 747.\newlineThe data set without the outlier: 53,63,67,69,70,71,72,7653, 63, 67, 69, 70, 71, 72, 76.
  3. Calculate Mean with Outlier: Calculate the mean of the original data set with the outlier.\newlineMean with outlier = (53+63+67+69+70+71+72+76+747)/9(53 + 63 + 67 + 69 + 70 + 71 + 72 + 76 + 747) / 9\newlineMean with outlier = (1238+747)/9(1238 + 747) / 9\newlineMean with outlier = 1985/91985 / 9\newlineMean with outlier ≈220.56\approx 220.56
  4. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.\newlineMean without outlier = (53+63+67+69+70+71+72+76)/8(53 + 63 + 67 + 69 + 70 + 71 + 72 + 76) / 8\newlineMean without outlier = 541/8541 / 8\newlineMean without outlier ≈67.625\approx 67.625
  5. Compare Means: Compare the means to determine if the mean would increase or decrease upon removal of the outlier. The mean with the outlier is approximately 220.56220.56, and the mean without the outlier is approximately 67.62567.625. Removing the outlier significantly decreases the mean.

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