Consider the following dаta: 3,4,6,7,9,9,11

If 5 were added to the each of the values, how would that affect the median. (no need to do any calculating, but sure to explain.)

The data is already sorted for us. The median of this set is the middle most value which is 7 (in slot 4; three values to the left and three values to the right).

So the median is originally 7

If we add 5 to each data value we get

3+5 = 8

4+5 = 9

6+5 = 11

7+5 = 12

9+5 = 14

9+5 = 14

11+5 = 16

So the old data set

{3,4,6,7,9,9,11}

shifts to

{8,9,11,12,14,14,16}

after we add 5 to each value

The middle most value of the updated set is 12. It corresponds exactly to the old median of 7.

So we technically didn't even need to add 5 to all of the values to see what the new median would be. We simply need to add 5 to the old median to get the new median

I. e,

(new median) = (old median) + 5