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Select the outlier in the data set.\newline41,51,61,67,70,74,80,17041, 51, 61, 67, 70, 74, 80, 170\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.\newline41,51,61,67,70,74,80,17041, 51, 61, 67, 70, 74, 80, 170\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: 41,51,61,67,70,74,80,17041, 51, 61, 67, 70, 74, 80, 170.\newlineLooking at the numbers, 170170 stands out because it's much higher than the rest.
  2. Calculate Mean: Step 22: Calculate the mean of the original data set.\newlineMean = (41+51+61+67+70+74+80+170)/8=614/8=76.75(41 + 51 + 61 + 67 + 70 + 74 + 80 + 170) / 8 = 614 / 8 = 76.75.
  3. Remove Outlier & Recalculate Mean: Step 33: Remove the outlier (170170) and calculate the new mean.\newlineNew data set: 41,51,61,67,70,74,8041, 51, 61, 67, 70, 74, 80.\newlineNew mean = (41+51+61+67+70+74+80)/7=444/7=63.43(41 + 51 + 61 + 67 + 70 + 74 + 80) / 7 = 444 / 7 = 63.43.
  4. Compare Original & New Mean: Step 44: Compare the original mean to the new mean.\newlineOriginal mean: 76.7576.75, New mean: 63.4363.43.\newlineSince the new mean is lower than the original mean, removing the outlier decreases the mean.

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