Calculate Average: Finding Mean When 10 Numbers Sum to 5

Question

What is the average of ten numbers that have a sum of 5?

Video Solution

Solution Steps

00:00 Find the average of the numbers
00:02 To calculate the average, we sum and divide by the number of occurrences
00:05 We already have the sum, so we'll substitute and divide by the quantity of numbers
00:08 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll apply the formula for the average:

  • Step 1: The total number of numbers is 10 10 .
  • Step 2: The sum of all these numbers is 5 5 .
  • Step 3: Use the average formula to find the average.

Now, using the formula, the average is calculated as:
Average=Sum of all numbersNumber of numbers=510=12 \text{Average} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}} = \frac{5}{10} = \frac{1}{2}

Therefore, the solution to the problem is 12 \frac{1}{2} .

Answer

12 \frac{1}{2}