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Select the outlier in the data set.If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
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Q. Select the outlier in the data set.If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
- Identify Outlier: Identify the outlier in the data set.To find the outlier, we can look for a number that is significantly different from the rest of the numbers in the set. In the given data set, stands out as much larger than the other numbers.
- Calculate Mean with Outlier: Calculate the mean of the data set including the outlier.To calculate the mean, add all the numbers together and divide by the total count of numbers.Mean = Mean = Mean =
- Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier and calculate the new mean. New Mean = New Mean = New Mean = (rounded to four decimal places)
- Compare Means: Compare the means to determine if the mean would increase or decrease upon removal of the outlier. The original mean with the outlier is , and the new mean without the outlier is . Since the new mean is lower than the original mean, the mean would decrease if the outlier were removed.
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