Question

Replacing the maximum value of the data set with a smaller number will also change the median. Provide an example

A. Always true
B. Sometimes true
C. Never true

Answer 1

B. Sometimes true

Explanation:

The answer will be sometimes true because it can be true or false.

The median will be changed if the maximum value of the data set replaced into a value that smaller than the median. Let say we have data of 1, 2, 3, 4, 5 then the median is 3 and the maximum value is 5. If we change the maximum value into 3 or 4, the data set will still have 3 as the median. In this case, the median is not changed thus it's false.

But if we change the maximum value into 2, the data set will become 1, 2, 2, 3, 4. In this case, the median changed into 2 thus it's true.