Question

What could be added to the following set of data so that the mean and midrange would be equal?
17, 17, 23, 29

Answer 1

29

That would make the median and the mean equal to 23

Answer 2

explanation please?

Answer 3

Alright, so if you add a number to the beginning that would make 17 the midpoint, but you need something divided by 5 to equal 17 so your mean would be 17 as well. That number is 85, and the four numbers you already have equal 86 so 17 is out, (unless you go with a negative number in which case -1 would work. But assuming you need all positive numbers, then you need to add your number to the end. That makes 23 your midpoint. Then you need a mean of 23*5 which is 115. The numbers you already have again equal 86. So 115-86=29. So 29 is the number you need to add to your set to get the midpoint and the mean to be the same.

Answer 4

I should have said, you need a mean of 23, and to get that you need a total of the data to be 23*5 or 115.

Answer 5

okay, i get it, thanks

Answer 6

you're welcome