How to make a data set with only 5 numbers. And so the mean is 7, the median is 7, and the mode is 5?

5,5,7,8,10

Step-by-step explanation:

mode=5    so that would appear the most so start with 5,5

median=7  that would be the middle number so 7 would be next

when you add 5+5+7=17  now just choose any number to add to 17 and I choose 10 which makes 17+10=27.  

mean=7  so that means the total has to be divided by how many numbers you have, which is 5.  So the total divided by 5 should equal 7.  Since have 27, the number divided by 5 to get 7 is 35.  So, add to 27 to get 35 which would be 8.

27+8=35  that is your total.  Now divide by 5 to get the mean of 7.