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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
 one year ago
 one year 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
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.2
If 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?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
You 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.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
In general, adding a very large outlier will greatly affect the mean.
 one year ago
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