Suppose ten distinct, positive integers have a median of $10$. ("Distinct integers" means that no two integers are the same.) What is the smallest the average of those ten integers could be? Explain your answer in complete sentences.
+24 Ok so Let us start with the smallest numbers that some can be...
which is naturally 1,2,3,4,5.
then, we place a ten down, and make the 4 next integers: 11,12,13,14,
1,2,3,4,5,10,11,12,13,14
calculating the average: 1+2+3+4+5=15
10+11+12+13+14=60
15+60=65
65/10
6.5
