Question

If each observation in a data is decreased by two, their ______.

Options

• mean decreases by 2, but median remains same.

• mean remains same, but median decreases, by 2.

• mean and median both decrease by 2.

• mean and median both remain the same.

Answer 1

If each observation in a data is decreased by two, their mean and median both decrease by 2.

Explanation:

Subtracting a constant value from every single observation in a dataset reduces both the mean and the median by that exact same constant value. Therefore, decreasing each observation by two causes both measures of central tendency to decrease by 2.