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Select the outlier in the data set.\newline1,66,84,86,87,88,90,941, 66, 84, 86, 87, 88, 90, 94\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.\newline1,66,84,86,87,88,90,941, 66, 84, 86, 87, 88, 90, 94\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: 1,66,84,86,87,88,90,941, 66, 84, 86, 87, 88, 90, 94.\newlineOutlier is typically a number that is significantly different from the rest of the data. Here, 11 is much lower than all other numbers.
  2. Calculate Mean: Step 22: Calculate the mean of the original data set.\newlineMean = (1+66+84+86+87+88+90+94)/8=74.5(1 + 66 + 84 + 86 + 87 + 88 + 90 + 94) / 8 = 74.5
  3. Remove Outlier: Step 33: Remove the outlier and calculate the new mean.\newlineNew data set without outlier: 66,84,86,87,88,90,9466, 84, 86, 87, 88, 90, 94.\newlineNew mean = (66+84+86+87+88+90+94)/7=85(66 + 84 + 86 + 87 + 88 + 90 + 94) / 7 = 85
  4. Compare Means: Step 44: Compare the original mean and the new mean.\newlineOriginal mean: 74.574.5, New mean: 8585.\newlineSince the new mean (8585) is greater than the original mean (74.574.5), removing the outlier increases the mean.

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