Paste a list of numbers and get the sample or population standard deviation instantly.
Answer
5.956189
Standard deviation (Sample)
Variance: 35.47619
Mean: 20.142857
Count: 7
Standard error: 2.251228
Examples
| Min | Q1 | Median | Q3 | Max | Sum |
|---|---|---|---|---|---|
| 12 | 16.5 | 20 | 23 | 30 | 141 |
12, 15, 18, 20, 22, 24, 30
s = sqrt(sum((x - mean)^2) / (n - 1)); sigma = sqrt(sum((x - mean)^2) / n)Use sample standard deviation when your data is a sample from a larger group. Use population standard deviation when the list contains the full population.
| Symbol | Variable | Description |
|---|---|---|
| x | Data value | Each number in the data list. |
| mean | Average | The sum of all values divided by the count. |
| n | Count | The number of values entered. |
Enter your data
Paste numbers separated by commas, spaces, semicolons, or line breaks.
Choose sample or population
Choose Sample for most datasets collected from a larger group, or Population when the list is complete.
Read the answer
The answer area shows standard deviation first, then variance, mean, count, and standard error.
Sample standard deviation divides by n - 1. Population standard deviation divides by n.
| Use | Mode | Denominator |
|---|---|---|
| Class scores from selected students | Sample | n - 1 |
| All scores in a completed class | Population | n |
| Measurements from a batch sample | Sample | n - 1 |