Math Problem Statement
the average of seven numbers is 12. what is the sum of the numbers
Solution
The average of a set of numbers is calculated by dividing the sum of the numbers by the total number of numbers. If the average of seven numbers is 12, we can use the formula for the average:
Given that the average is 12 and the number of numbers is 7, we can write:
To find the sum of the numbers, multiply both sides of the equation by 7:
So, the sum of the seven numbers is 84.
Would you like more details or have any questions? Here are some related questions:
- How do you calculate the average of a set of numbers?
- How can you find the sum if the average and the number of terms are known?
- What if the average was a decimal? How would that affect the sum?
- Can you find the average if you only know the sum?
- What is the relationship between sum, average, and number of terms?
Tip: Remember that multiplying the average by the number of items always gives you the total sum.
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Math Problem Analysis
Mathematical Concepts
Average
Arithmetic Mean
Basic Operations
Formulas
Average formula: Average = Sum of numbers / Number of numbers
Theorems
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Suitable Grade Level
Grades 4-6