السؤال 58

A data set contains 6, 7, 8, 9 and 40. What happens to the range when the value 40 is removed?

It falls from 34 to 3.الإجابة الصحيحة
It stays at 34, because the other values are unchanged.
It falls from 34 to 33, one less for the value removed.
It falls from 40 to 6.

الشرح

With 40 included the range is 40 - 6 = 34, and once 40 is gone the largest value is 9, so the range becomes 9 - 6 = 3. Expecting only a small change assumes every value contributes a little to the range, but a range rests on the two end values alone, so removing an extreme one can shrink it dramatically.

الشرح

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