How to Find the Midrange

Step-by-step solution

1. Identify the largest and smallest values.

   $$\max = 15,\quad \min = 3$$

   Why: The midrange uses only the two extremes.

2. Add the extremes.

   $$15 + 3 = 18$$

   Why: The midpoint of two values is their average.

3. Divide by 2.

   $$\frac{18}{2} = 9$$

   Why: Halfway between 3 and 15 is 9.

Practice problems

Use the same method. Work each problem on paper, then open the answer to check.

1. 1

   $4,\ 10,\ 6$

   Show answer

   $\text{midrange } 7$

2. 2

   $8,\ 2,\ 5,\ 11$

   Show answer

   $\text{midrange } 6.5$

3. 3

   $1,\ 9,\ 4$

   Show answer

   $\text{midrange } 5$

4. 4

   $20,\ 12,\ 16$

   Show answer

   $\text{midrange } 16$

5. 5

   $3,\ 15,\ 8$

   Show answer

   $\text{midrange } 9$