Question

Write four consecutive numbers with a mean and medium of 14.5

Answer 1

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.

$\frac{n+(n+1)+(n+2)+(n+3)}{4}=14.5$

Simplify and multiply by 4.

$4n+6=58\\4n=52\\n=13$

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.