The average (arithmetic mean) is found by adding all the numbers together and dividing by how many numbers there are.
Explanation
The most common “average” is the arithmetic mean. The formula is:
$$\bar{x}=\frac{\sum_{i=1}^n x_i}{n}$$
Steps:
- Add all values: $S=\sum_{i=1}^n x_i$
- Count the values: $n$
- Divide: $\bar{x}=S/n$
Example
Numbers: 3, 5, 7
- Sum: $S=3+5+7=15$
- Count: $n=3$
- Mean: $\bar{x}=15/3=5$
Other common averages
- Weighted mean (use when values have different importance):
$$\bar{x}=\frac{\sum_{i=1}^n w_i x_i}{\sum_{i=1}^n w_i}$$
- Median — the middle value when data are ordered (useful when there are outliers).
- Mode — the value that appears most often.
Quick tips
- In Excel: =AVERAGE(range). Weighted: =SUMPRODUCT(values,weights)/SUM(weights).
- In Python:
import statistics
values=[3,5,7]
mean = statistics.mean(values)
print(mean) # 5
- If your data have extreme outliers, consider using the median instead of the mean.
If you meant a different kind of “average” (median, mode, geometric mean, harmonic mean, etc.), tell me which one and I’ll show how to compute it.