Statistics calculator
Generate a compact summary of mean, median, mode, range, sample standard deviation, sample variance, min, max, and count.
What this calculator covers
Use this calculator when you want a single descriptive-statistics panel instead of checking mean, spread, and count in separate steps.
It works well for small datasets, spot checks, and quick comparisons because blank fields are ignored and the most common summary values stay in one place.
Frequently asked questions
- What is the difference between mean and median, and when does it matter?
- The mean is the sum divided by the count; the median is the middle value when the data are sorted. They diverge when the dataset contains outliers — a few very large or very small values pull the mean toward them while leaving the median relatively stable. For skewed data, the median is often a better measure of the typical value.
- What does it mean when no mode is reported?
- Mode is the most frequently occurring value. When every value in the dataset appears exactly once, there is no single most-frequent value, so the calculator reports no mode rather than listing all values.
- Why does this panel show sample standard deviation rather than population standard deviation?
- For a small descriptive dataset entered by hand, the data are usually a sample rather than a complete population. Sample standard deviation — which divides by n − 1 — is the more common default for this kind of exploratory analysis.
- How many values can I enter?
- The form supports up to 12 numeric fields. Blank entries are skipped, so you can leave unused fields empty without affecting the result.
Tool
Run the calculation
Result
RESULT · SUMMARY STATS
â„–158
Primary result
14.5 / 13.5 / 12
For the values 8, 12, 12, 15, 19, 21, the summary statistics are mean 14.5, median 13.5, mode 12, range 13, sample SD 4.84768, and sample variance 23.5.
- Values used
- 8, 12, 12, 15, 19, 21
- Count
- 6
- Mean / median / mode
- 14.5 / 13.5 / 12
- Min / max / range
- 8 / 21 / 13
- Sample SD / sample variance
- 4.84768 / 23.5
Step-by-step solution
- 1.Ignore blank fields and keep the 6 numeric values in the analysis set.
- 2.Compute the center statistics: mean 14.5, median 13.5, and mode 12.
- 3.Compute the spread statistics from the same list: min 8, max 21, range 13, sample SD 4.84768, and sample variance 23.5.
Walkthrough
Visual walkthrough
This calculator consolidates the most common descriptive statistics so one dataset can be checked from center, spread, and count perspectives together.
01
Build the working dataset
8, 12, 12, 15, 19, 21
Only the filled numeric fields contribute to the summary, and blanks are ignored.
02
Read the center statistics
Mean 14.5 · Median 13.5 · Mode 12
These statistics describe the center from balancing-point, middle-value, and most-frequent-value angles.
03
Read the spread statistics
Range, sample standard deviation, and sample variance describe how widely the data are dispersed around the center.
Range 13 · SD 4.84768 · Variance 23.5