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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 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 it is much larger than the other numbers.
- Calculate Mean with Outlier: Calculate the mean of the data set including the outlier.To calculate the mean, we add all the numbers together and then divide by the number of values in the set.Mean = Mean = Mean = Mean =
- Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.We remove the outlier and then calculate the mean of the remaining numbers.Mean without outlier = Mean without outlier = Mean without outlier = (approximately)
- Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon removal of the outlier. The mean with the outlier is , and the mean without the outlier is approximately . Since the mean without the outlier is lower, removing the outlier would decrease the mean.
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