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Select the outlier in the data set.\newline7,64,82,85,89,91,97,997, 64, 82, 85, 89, 91, 97, 99\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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Q. Select the outlier in the data set.\newline7,64,82,85,89,91,97,997, 64, 82, 85, 89, 91, 97, 99\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: Step 11: Identify the outlier in the data set.\newlineData set: 7,64,82,85,89,91,97,997, 64, 82, 85, 89, 91, 97, 99.\newlineOutliers are values that are much smaller or larger than the rest of the data. Here, 77 is much smaller than all other numbers.
  2. Calculate Mean: Step 22: Calculate the mean of the original data set.\newlineMean = (7+64+82+85+89+91+97+99)/8=614/8=76.75(7 + 64 + 82 + 85 + 89 + 91 + 97 + 99) / 8 = 614 / 8 = 76.75.
  3. Remove Outlier: Step 33: Remove the outlier 77 and calculate the new mean.\newlineNew data set: 64,82,85,89,91,97,9964, 82, 85, 89, 91, 97, 99.\newlineNew mean = (64+82+85+89+91+97+99)/7=607/7=86.71(64 + 82 + 85 + 89 + 91 + 97 + 99) / 7 = 607 / 7 = 86.71.
  4. Compare Means: Step 44: Compare the original mean and the new mean.\newlineOriginal mean: 76.7576.75, New mean: 86.7186.71.\newlineSince the new mean (86.7186.71) is greater than the original mean (76.7576.75), removing the outlier increased the mean.

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