anonymous
  • anonymous
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
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
B. mean
jim_thompson5910
  • jim_thompson5910
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?
anonymous
  • anonymous
Thanks!

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jim_thompson5910
  • jim_thompson5910
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.
jim_thompson5910
  • jim_thompson5910
In general, adding a very large outlier will greatly affect the mean.

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