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Select the outlier in the data set.\newline74,81,83,84,85,86,88,79774, 81, 83, 84, 85, 86, 88, 797\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.\newline74,81,83,84,85,86,88,79774, 81, 83, 84, 85, 86, 88, 797\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 data set.\newlineThe data set is: 74,81,83,84,85,86,88,79774, 81, 83, 84, 85, 86, 88, 797.\newlineOutlier is clearly 797797, as it is much larger than the other numbers.
  2. Calculate Mean Original: Calculate the mean of the original data set.\newlineMean = (74+81+83+84+85+86+88+797)/8=172.25(74 + 81 + 83 + 84 + 85 + 86 + 88 + 797) / 8 = 172.25
  3. Calculate Mean Without Outlier: Calculate the mean of the data set without the outlier.\newlineNew data set: 74,81,83,84,85,86,8874, 81, 83, 84, 85, 86, 88.\newlineMean =(74+81+83+84+85+86+88)/7=84.43= (74 + 81 + 83 + 84 + 85 + 86 + 88) / 7 = 84.43
  4. Compare Mean Changes: Compare the means to determine if the mean increases or decreases after removing the outlier. Original mean: 172.25172.25, New mean: 84.4384.43. Since the new mean is lower, removing the outlier decreases the mean.

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