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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 the outlier: Identify the outlier in the data set.To find the outlier, we look for a number that is significantly different from the rest of the numbers in the set. In this case, is much larger than all other numbers, which range from to . Therefore, is the outlier.
- Calculate mean with outlier: Calculate the mean of the data set with the outlier.To find the mean, we add all the numbers together and divide by the total count of numbers. The sum of the data set including the outlier is . The total count of numbers is . So, the mean is .
- Calculate mean without outlier: Calculate the mean of the data set without the outlier.To find the new mean, we subtract the outlier from the sum calculated in Step and then divide by the new total count of numbers. The new sum is . The new total count of numbers is . So, the new mean is .
- Determine mean change: Determine if the mean will increase or decrease after removing the outlier. Comparing the original mean with the new mean , we can see that the mean decreases when the outlier is removed.
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