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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 data 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 data set. The sum of the data set is . The number of values is . So, the mean is .
- Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier and calculate the new sum: . The new number of values is . So, the new mean is (rounded to four decimal places).
- Compare Means: Compare the means to determine if the mean would increase or decrease. The original mean with the outlier was , and the new mean without the outlier is . Since the new mean is lower than the original mean, removing the outlier would decrease the mean.
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