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Select the outlier in the data set.\newline7,61,63,66,69,70,84,947, 61, 63, 66, 69, 70, 84, 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.\newline7,61,63,66,69,70,84,947, 61, 63, 66, 69, 70, 84, 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: 7,61,63,66,69,70,84,947, 61, 63, 66, 69, 70, 84, 94.\newlineTo find the outlier, look for a number that is significantly different from the rest. Here, 77 is much lower than all other numbers.
  2. Calculate Mean: Step 22: Calculate the mean of the original data set.\newlineMean = (7+61+63+66+69+70+84+94)/8(7 + 61 + 63 + 66 + 69 + 70 + 84 + 94) / 8\newlineMean = 514/8514 / 8\newlineMean = 64.2564.25
  3. Remove Outlier: Step 33: Remove the outlier 77 and calculate the new mean.\newlineNew data set: 61,63,66,69,70,84,9461, 63, 66, 69, 70, 84, 94.\newlineNew mean = (61+63+66+69+70+84+94)/7(61 + 63 + 66 + 69 + 70 + 84 + 94) / 7\newlineNew mean = 507/7507 / 7\newlineNew mean = 72.4372.43
  4. Compare Means: Step 44: Compare the original mean 64.2564.25 with the new mean 72.4372.43 to determine if the mean increased or decreased.\newlineSince 72.4372.43 is greater than 64.2564.25, the mean increased after removing the outlier.

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