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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 this case, the number stands out as being much lower than all 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
- Compare Means: Compare the two means to determine if the mean would increase or decrease.The original mean with the outlier was approximately , and the new mean without the outlier is approximately . Since the new mean is higher, removing the outlier would increase the mean.
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