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 2 years ago
The following data set is sorted in ascending order:
1, 2, 3, 4, 5, 6, 101, 102, 103, 104, 105
The median of this data is 6 and the mean is 48.7. Which of these two measures will change the most if the outlier 600 is added to the list?
A. The median
B. The mean
C. Cannot be determined
 2 years ago
The following data set is sorted in ascending order: 1, 2, 3, 4, 5, 6, 101, 102, 103, 104, 105 The median of this data is 6 and the mean is 48.7. Which of these two measures will change the most if the outlier 600 is added to the list? A. The median B. The mean C. Cannot be determined

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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2If you add 600 to the list and you sort it, you'll get 600, 1, 2, 3, 4, 5, 6, 101, 102, 103, 104, 105 what's the mean and median now?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2You already have the answer, but here's why it's the mean: When adding 600 to the list, the median goes from 6 to 5.5 When adding 600 to the list, the mean goes from 48.727 to 5.3333 So we can see that the mean changes the most of the two.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2In general, adding a very large outlier will greatly affect the mean.
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