Mean Calculator
Compute the arithmetic mean (average) of a set of numbers.
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Understanding the Mean
The mean, often called the average, is a fundamental measure of central tendency in statistics. It represents the sum of all values in a dataset divided by the number of values.
Mean Formula:
Where:
- &bar;x = Mean
- Σxi = Sum of all values in the dataset
- n = Number of values in the dataset
Mean Examples
| Dataset | Sum | Count | Mean |
|---|---|---|---|
| 1, 2, 3, 4, 5 | 15 | 5 | 3 |
| 10, 20, 30 | 60 | 3 | 20 |
| 5, 5, 5, 5 | 20 | 4 | 5 |
Frequently Asked Questions
What is the mean?
The mean, also known as the arithmetic average, is the sum of all values in a dataset divided by the number of values. It is a measure of central tendency.
How do you calculate the mean?
To calculate the mean, add up all the numbers in your dataset and then divide the sum by the count of those numbers. Formula: Mean = (Sum of all values) / (Number of values).
When is the mean a good measure of central tendency?
The mean is a good measure of central tendency for symmetrical distributions without extreme outliers. It uses all data points in its calculation, making it sensitive to every value.