Question

What happens to the median of the data set

{2, 4, 5, 6, 8, 2, 5, 6} if the number 10 is added to the data set?
A. The median does not change.
B. The median increases by 2.
C. The median decreases by 0.25.
D. The median increases by 1.

Answer 1

The answer is A

Explanation:

Answer 2

A. The median does not change.

Explanation:

Original data set,

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8

Median is the middle number

2,2, 4, 5, 5, 6,6, 8

It is between the two 5's

(5+5)/2 = 10/2 = 5

New data set

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8,10

Median is the middle number

2,2, 4, 5, 5, 6,6, 8,10

The middle number is 5