Statistics Calculator

Convert raw numbers into descriptive statistics, confidence intervals, and percentile insights.

Input data

Paste values separated by commas, spaces, or line breaks. Useful for exam prep, operational metrics, experiment results, and report validation.

Parsed values: 9

Descriptive statistics

Count
9
Sum
183
Mean
20.333333
Median
21
Min
12
Max
30
Range
18
Q1
15
Q3
24
IQR
9
Population Variance
29.555556
Population SD
5.436502
Sample Variance
33.25
Sample SD
5.766281

Mode: 24

Z-score

z = -0.061314

Percentile rank

72.222222th percentile

Confidence interval for mean

Formula: mean ± z × (sample SD / √n)

[16.56603, 24.100637] (margin 3.767304)

Interpretation tips

Use population variance/SD when the dataset contains every observation in scope. Use sample variance/SD when your list is a subset of a larger population and you want an unbiased estimate.

A z-score near 0 means the value is close to the mean. Larger absolute z-scores indicate more unusual observations relative to the dataset spread.

FAQ

Does this tool support negative and decimal values? Yes. You can mix negatives, decimals, and scientific notation like 2.5e3.

What if all values are unique? In that case there is no repeated mode, so the mode output stays empty by design.

For audited or regulated reporting, validate these outputs with your official statistical workflow.