Statistics Calculator - Mean, Median, Mode, Standard Deviation
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What is Statistics Calculator?
A statistics calculator computes essential statistical measures from a dataset including measures of central tendency (mean, median, mode) and measures of variability (range, variance, standard deviation).
Our calculator provides comprehensive statistical analysis perfect for students, researchers, and professionals working with data analysis, quality control, and statistical research.
How It Works
Enter Dataset
Input comma-separated values
Analyze Data
Get statistical measures
Common Examples
Test Scores
Data: 85, 90, 78, 92, 88, 85
- Mean: 86.33
- Median: 86.5
- Mode: 85
- Range: 14
Sales Data
Data: 100, 120, 95, 110, 105
- Mean: 106
- Median: 105
- Mode: No mode
- Std Dev: 8.72
Simple Dataset
Data: 1, 2, 3, 4, 5
- Mean: 3
- Median: 3
- Range: 4
- Variance: 2
Statistical Measures Comparison
| Dataset | Mean | Median | Mode | Std Dev |
|---|---|---|---|---|
| 1, 2, 3, 4, 5 | 3.0 | 3.0 | No mode | 1.414 |
| 10, 10, 20, 30 | 17.5 | 15.0 | 10 | 8.660 |
| 5, 5, 5, 5 | 5.0 | 5.0 | 5 | 0.0 |
| 1, 100, 1000 | 367.0 | 100.0 | No mode | 408.2 |
| 2, 4, 6, 8, 10 | 6.0 | 6.0 | No mode | 2.828 |
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean is the average, median is the middle value when sorted, and mode is the most frequently occurring value.
How do you calculate standard deviation?
Standard deviation is the square root of variance: σ = √(Σ(x-μ)²/n), measuring data spread from the mean.
What does range tell us about data?
Range (max - min) shows the spread of data. A larger range indicates more variability in the dataset.
When should I use median instead of mean?
Use median when data has outliers or is skewed, as it's less affected by extreme values than the mean.
What if my dataset has multiple modes?
A dataset can be bimodal (two modes) or multimodal (multiple modes) when several values share the highest frequency.