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Select the outlier in the data set.\newline4,71,79,80,85,95,97,994, 71, 79, 80, 85, 95, 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.\newline4,71,79,80,85,95,97,994, 71, 79, 80, 85, 95, 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: 4,71,79,80,85,95,97,994, 71, 79, 80, 85, 95, 97, 99\newlineTo find the outlier, look for a number that is significantly different from the rest. Here, 44 is much lower than all other numbers.
  2. Calculate Mean: Step 22: Calculate the mean of the original data set.\newlineMean = (4+71+79+80+85+95+97+99)/8(4 + 71 + 79 + 80 + 85 + 95 + 97 + 99) / 8\newlineMean = 610/8610 / 8\newlineMean = 76.2576.25
  3. Remove Outlier: Step 33: Remove the outlier and calculate the new mean.\newlineNew data set without outlier: 71,79,80,85,95,97,9971, 79, 80, 85, 95, 97, 99\newlineNew mean = (71+79+80+85+95+97+99)/7(71 + 79 + 80 + 85 + 95 + 97 + 99) / 7\newlineNew mean = 606/7606 / 7\newlineNew mean = 86.5786.57
  4. Compare Means: Step 44: Compare the original mean and the new mean to determine if the mean increased or decreased.\newlineOriginal mean = 76.2576.25, New mean = 86.5786.57\newlineSince 86.57 > 76.25, the mean increased after removing the outlier.

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