Math Problem Statement

The average of 6 numbers is 6. 5 what did the 6 numbers add up to?

Solution

To find the sum of the 6 numbers, we can use the formula for the average:

Average=Sum of the numbersNumber of numbers\text{Average} = \frac{\text{Sum of the numbers}}{\text{Number of numbers}}

We are given:

  • The average is 6.
  • The number of numbers is 6.

Now, we can rearrange the formula to solve for the sum of the numbers:

Sum of the numbers=Average×Number of numbers\text{Sum of the numbers} = \text{Average} \times \text{Number of numbers}

Substituting the given values:

Sum of the numbers=6×6=36\text{Sum of the numbers} = 6 \times 6 = 36

So, the sum of the 6 numbers is 36.

Would you like more details on how this works, or do you have any other questions?

Here are 5 related questions you might find interesting:

  1. If the sum of the numbers was 42, what would the average be?
  2. How does changing the average affect the sum of a set of numbers?
  3. If the sum of 10 numbers is 80, what is their average?
  4. What would happen if we had 10 numbers instead of 6 in the original problem?
  5. How do we calculate the sum when the average is known and the number of terms changes?

Tip: Always remember that the average is a way to represent the "central" value of a data set, and you can use it to find the sum if you know the number of values.

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Math Problem Analysis

Mathematical Concepts

Average
Arithmetic Operations

Formulas

Average = Sum of the numbers / Number of numbers
Sum of the numbers = Average × Number of numbers

Theorems

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Suitable Grade Level

Grades 4-6