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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. The data set is: . At a glance, is much larger than all other numbers, which are relatively close to each other. Therefore, is the outlier.
- Calculate Mean with Outlier: Calculate the mean of the data set with the outlier.To calculate the mean, add all the numbers together and divide by the number of values in the set. The sum of the data set is . There are numbers in the set, so the mean is (rounded to three decimal places).
- Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier () and calculate the new mean. The new sum is . There are now numbers in the set, so the new mean is .
- Compare Means: Compare the two means to determine if the mean would increase or decrease with the removal of the outlier. The original mean with the outlier was , and the new mean without the outlier is . Since the original mean is higher, removing the outlier will decrease the mean.
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