What is the median of 71 plus 67 plus 67 plus 72 plus 76 plus 73 plus 68 plus 72 plus 72?

Answer 1

I guess you mean:

What is the median of the numbers 71, 67, 67, 72, 76, 73, 68, 72, 72?

(because adding the numbers would yield a single number).

The median is the middle number when the numbers are listed in order.

Listing in order:

71, 67, 67, 72, 76, 73, 68, 72, 72 ⇒ 67, 67, 68, 71, 72, 72, 72, 73, 76

There are 9 numbers, so the middle number is the 5th one which is 72.

If there had been an even number of numbers, there is no middle one so the median is the mean average of the middle two.

Example: If there had been no 76, so the list contained:

67, 67, 68, 71, 72, 72, 72, 73

then there would be 8 numbers, so the median would be the mean average of the 4th and 5th numbers, namely:

(71 + 72) ÷ 2 = 71.5