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marcoduuuh

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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  1. InsanityxP
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    B. mean

    • one year ago
  2. jim_thompson5910
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    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
  3. marcoduuuh
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    Thanks!

    • one year ago
  4. jim_thompson5910
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    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
  5. jim_thompson5910
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    In general, adding a very large outlier will greatly affect the mean.

    • one year ago
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