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Select the outlier in the data set.\newline8,75,79,84,85,92,94,968, 75, 79, 84, 85, 92, 94, 96\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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Identify an outlier and describe the effect of removing itright chevron icon

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Q. Select the outlier in the data set.\newline8,75,79,84,85,92,94,968, 75, 79, 84, 85, 92, 94, 96\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 given data set: 8,75,79,84,85,92,94,968, 75, 79, 84, 85, 92, 94, 96. To find the outlier, we can look for a number that is significantly different from the rest of the data. In this case, the number 88 stands out as being much lower than all other numbers.
  2. Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included.\newlineMean = (8+75+79+84+85+92+94+96)/8(8 + 75 + 79 + 84 + 85 + 92 + 94 + 96) / 8\newlineMean = (613)/8(613) / 8\newlineMean = 76.62576.625
  3. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier 88.\newlineMean without outlier = (75+79+84+85+92+94+96)/7(75 + 79 + 84 + 85 + 92 + 94 + 96) / 7\newlineMean without outlier = (605)/7(605) / 7\newlineMean without outlier = 86.428571428686.4285714286
  4. Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier.\newlineThe mean without the outlier (86.428571428686.4285714286) is greater than the mean with the outlier (76.62576.625).\newlineTherefore, the mean would increase if the outlier were removed.

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