A data set consisting of 3 numbers has mean of 12. The median is also 12. The least number is 5. What is the greatest number.

Answer 1

First you know that the mean is 12 (average) which is found by dividing the data by the total set of numbers. Thus multiply 3x12=36

The median is the middle number, so one number must be 12 and they tell you the least number is 5.

5 12 _y__

5+12+y=36

36-5-12=19=y

Therefore the greatest number is 19. To check, you can do 5+12+19 divided by 3 to get your mean which should be 12. And you can already see that the median is 12.

Hope I've helped.