Question

Here are four different numbers written in order of size.

3 6 m n
The range of the four numbers is 13
The median of the four numbers is 8.5
Find the value of m and the value of n.

Answer 1

By utilizing the conditions of the range being 13 and the median being 8.5, we deduce that the values for m and n in the sequence 3, 6, m, n are 11 and 16, respectively.

Step-by-step explanation:

The question presented is a mathematics problem that involves finding two unknown values, m and n, in a set of numbers given certain conditions about the range and median. Let's analyze the given information to solve for m and n:

1. The numbers in order: 3, 6, m, n
2. The range of the numbers is 13, which means n - 3 = 13 so n = 16
3. The median of the numbers must be halfway between the second and third numbers in the list. With the median given as 8.5, we have (6 + m)/2 = 8.5, so m = 11

Therefore, the values of m and n are 11 and 16, respectively.