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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: Calculate the mean of the original data set.To calculate the mean, add all the numbers together and divide by the total count of numbers.Mean = Mean = Mean =
- Remove Outlier: Remove the outlier and calculate the new mean.Without the number , the new data set is .New Mean = New Mean = New Mean = (rounded to two decimal places)
- Compare Means: Compare the original mean to the new mean to determine if it would increase or decrease.The original mean was , and the new mean is . Since the new mean is higher than the original mean, removing the outlier would cause the mean to increase.
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