To find the mean (also called the average) of a set of numbers in math, follow these steps:
- Add all the numbers together to get their total sum.
- Count how many numbers are in the set.
- Divide the sum by the number of numbers.
The formula for the arithmetic mean is:
Mean=Sum of all numbersNumber of numbers\text{Mean}=\frac{\text{Sum of all numbers}}{\text{Number of numbers}}Mean=Number of numbersSum of all numbers
For example, if you have the numbers 3, 11, 4, 6, 8, 9, and 6:
- Sum = 3 + 11 + 4 + 6 + 8 + 9 + 6 = 47
- Number of numbers = 7
- Mean = 47 ÷ 7 ≈ 6.7
So, the mean is approximately 6.7
. This method works for any set of numbers, including negative numbers. Just add all values (treating negatives as subtracting) and divide by the count