Question
Select the outlier in the data set. 8455155647071737477 78818384858796979899 If the outlier were removed from the data set, would the mean increase or decrease? increase decrease Submit
Answers
GPT-4o mini
To identify the outlier in the data set consisting of the two values provided (8455155647071737477 and 78818384858796979899), we should first look at the numerical size of these numbers.
1. The first number: **8455155647071737477** is approximately 8.46 quintillion.
2. The second number: **78818384858796979899** is approximately 78.82 quintillion.
Clearly, the first number (8455155647071737477) is significantly smaller than the second number (78818384858796979899), making it the outlier.
Next, to determine whether the mean would increase or decrease if the outlier were removed, let's analyze the effect:
- The mean is calculated by summing all values and dividing by the number of values.
- If the smaller outlier (8455155647071737477) is removed, the sum of the remaining dataset decreases while the count of numbers also decreases, but it is more likely that the remaining value (78818384858796979899) is greater than the mean of the original data set when it includes the outlier.
Since removing a smaller value (the outlier) would generally cause the mean of the remaining dataset to increase, we conclude that:
**The mean would increase.**
1. The first number: **8455155647071737477** is approximately 8.46 quintillion.
2. The second number: **78818384858796979899** is approximately 78.82 quintillion.
Clearly, the first number (8455155647071737477) is significantly smaller than the second number (78818384858796979899), making it the outlier.
Next, to determine whether the mean would increase or decrease if the outlier were removed, let's analyze the effect:
- The mean is calculated by summing all values and dividing by the number of values.
- If the smaller outlier (8455155647071737477) is removed, the sum of the remaining dataset decreases while the count of numbers also decreases, but it is more likely that the remaining value (78818384858796979899) is greater than the mean of the original data set when it includes the outlier.
Since removing a smaller value (the outlier) would generally cause the mean of the remaining dataset to increase, we conclude that:
**The mean would increase.**