Calculate Average: Finding Mean of Three Numbers with Sum 10

Question

What is the average of three numbers that have a sum of 10?

Video Solution

Step-by-Step Solution

To solve this problem, we need to find the average of three numbers that sum up to 10.

We will follow these steps:

  • Step 1: Identify the sum of the numbers, which is given as 10.
  • Step 2: Identify the number of terms, which in this case is 3.
  • Step 3: Apply the average formula Average=Sum of numbersn \text{Average} = \frac{\text{Sum of numbers}}{n} .

Now, let's perform the calculations:
Step 1: The sum of the three numbers is 10 10 .
Step 2: There are 3 3 numbers to consider.
Step 3: Calculate the average:Average=103=3.3333 \text{Average} = \frac{10}{3} = 3.3333\ldots .

We can express 3.3333 3.3333\ldots as a mixed number: 313 3\frac{1}{3} .

Therefore, the average of three numbers that sum to 10 is 313 3\frac{1}{3} .

Answer

313 3\frac{1}{3}