Answer:
13, 14, 15, 16
Step-by-step explanation:
Call the first number n. Then the next three consecutive numbers (assuming integers) are n + 1, n + 2, n + 3.
The mean is the total of the numbers divided by how many there are.
[tex]\frac{n+(n+1)+(n+2)+(n+3)}{4}=14.5[/tex]
Simplify and multiply by 4.
[tex]4n+6=58\\4n=52\\n=13[/tex]
The first number is 13.
The median is 14.5, halfway between the "middle" numbers 14 and 15. This is just a check; no additional equation is necessary.
