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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: . It is clear that the number is much lower than all the other numbers, which are all above . Therefore, is the outlier.
- Effect on Mean: Determine the effect on the mean if the outlier is removed.To understand the effect on the mean, we need to consider that the outlier is much lower than the rest of the data points. Removing a low outlier from the data set will result in an increase in the mean, because the sum of the remaining numbers will be divided by a smaller number of data points, and those remaining data points are higher than the outlier.
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