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Select the outlier in the data set.\newline79,82,86,87,88,94,96,39079, 82, 86, 87, 88, 94, 96, 390\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.\newline79,82,86,87,88,94,96,39079, 82, 86, 87, 88, 94, 96, 390\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: 79,82,86,87,88,94,96,39079, 82, 86, 87, 88, 94, 96, 390\newlineOutliers are values that are much higher or lower than the rest of the data. 390390 is significantly higher than all other numbers.
  2. Calculate Mean with Outlier: Step 22: Calculate the mean of the data set including the outlier.\newlineMean = (79+82+86+87+88+94+96+390)/8(79 + 82 + 86 + 87 + 88 + 94 + 96 + 390) / 8\newlineMean = 1002/8=125.251002 / 8 = 125.25
  3. Calculate Mean without Outlier: Step 33: Calculate the mean of the data set without the outlier.\newlineMean without 390390 = (79+82+86+87+88+94+96)/7(79 + 82 + 86 + 87 + 88 + 94 + 96) / 7\newlineMean = 612/7=87.43612 / 7 = 87.43
  4. Compare Mean Changes: Step 44: Compare the two means to determine if the mean increases or decreases when the outlier is removed.\newlineMean with outlier = 125.25125.25\newlineMean without outlier = 87.4387.43\newlineRemoving the outlier decreases the mean.

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