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Select the outlier in the data set.\newline28,37,39,41,42,43,49,99428, 37, 39, 41, 42, 43, 49, 994\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.\newline28,37,39,41,42,43,49,99428, 37, 39, 41, 42, 43, 49, 994\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.\newlineThe data set is: 28,37,39,41,42,43,49,99428, 37, 39, 41, 42, 43, 49, 994.\newlineAn outlier is a data point that is significantly different from the other data points in a set. We can see that 994994 is much larger than all the other numbers, which are all below 5050.
  2. Calculate Mean with Outlier: Determine if the outlier (994994) were removed, would the mean increase or decrease.\newlineFirst, calculate the mean with the outlier included.\newlineMean = (28+37+39+41+42+43+49+994)/8(28 + 37 + 39 + 41 + 42 + 43 + 49 + 994) / 8\newlineMean = (1273)/8(1273) / 8\newlineMean = 159.125159.125
  3. Calculate Mean without Outlier: Now, calculate the mean without the outlier.\newlineMean without outlier = (28+37+39+41+42+43+49)/7(28 + 37 + 39 + 41 + 42 + 43 + 49) / 7\newlineMean without outlier = (279)/7(279) / 7\newlineMean without outlier = 39.85739.857
  4. Compare Means: Compare the two means to determine the effect of removing the outlier. The mean with the outlier is 159.125159.125, and the mean without the outlier is 39.85739.857. Removing the outlier significantly decreases the mean.
  5. Answer Question: Answer the question based on the calculations.\newlineThe outlier in the data set is 994994. If the outlier were removed, the mean would decrease.

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