Frage 67

A data set contains the values 3, 4, 5, 6 and 60. Select all statements that are true when the value 60 is removed from this data set. Select all that apply.

The mean falls from 15.6 to 4.5Richtige Antwort
The median falls by more than the mean does
The median falls only from 5 to 4.5Richtige Antwort
The mean stays at 15.6, because 60 is only one value out of five
The value 60 affects the mean more than it affects the medianRichtige Antwort

Erklärung

The five values total 78 for a mean of 15.6, while the middle of the ordered list is 5; without 60 the four remaining values total 18 for a mean of 4.5, and the two central values 4 and 5 average to 4.5 as well. Assuming that both averages move together fails here, because the mean drops by more than eleven while the middle of the data drops by half a unit, and that difference is the whole reason one extreme value is said to distort an average built from the total.

Erklärung

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