Calculate Mean and Standard Deviation by Hand
Calculating mean and standard deviation by hand is a crucial skill in statistics. It helps understand data distribution and variability.
- Enter up to five numbers.
- Click ‘Calculate’.
- View results and chart.
The mean (average) is calculated by summing all numbers and dividing by count. Standard deviation is the square root of the average of squared differences from the mean.
| Method | Mean | Standard Deviation |
|---|---|---|
| By Hand | … | … |
| Calculator | … | … |
- Always round to a reasonable number of decimal places.
- Check your work by recalculating.
What is mean?
Mean is the average of a set of numbers.
UK Office for National Statistics – Official government statistics.
Khan Academy – Detailed explanations of mean, median, and mode.