Online Descriptive Statistics Calculator
Evaluate datasets with complete descriptive statistics: mean, median, mode, sample variance, standard deviation, sum, and interquartile range.
Summary Statistics
Sorted Dataset
Frequency Table
| Value (x) | Frequency (f) | Relative Freq (%) | Розподіл |
|---|---|---|---|
| 12 | 3 | 27.27% | |
| 15 | 2 | 18.18% | |
| 18 | 1 | 9.09% | |
| 19 | 1 | 9.09% | |
| 22 | 1 | 9.09% | |
| 25 | 1 | 9.09% | |
| 27 | 1 | 9.09% | |
| 30 | 1 | 9.09% |
How to use
- Enter numbers separated by spaces or commas (e.g., 5, 8, 12, 15, 20).
- Select dataset scope: sample (n-1) or population (N).
- Click calculate.
- View complete descriptive statistics summary table with formulas.
Core Descriptive Metrics
Arithmetic Mean x̄: sum of all numbers divided by count n.
Median: middle element when numbers are sorted sequentially.
Mode: most frequently occurring value in the dataset.
Variance (s² / σ²): average squared deviation from the mean.
Standard Deviation (s / σ): square root of variance indicating dispersion.
Calculation Methodology
Sample variance implements Bessel's correction dividing by n - 1 to eliminate sampling bias. Population metrics divide by full population size N.
Frequently Asked Questions
What is the key difference between mean and median?
Mean is heavily skewed by extreme outliers, whereas the median is a robust measure of central tendency.
What does standard deviation reflect?
Standard deviation quantifies the typical distance between data points and the dataset average.
Can a dataset have multiple modes?
Yes, datasets can be bimodal or multimodal if multiple values share the highest occurrence frequency.
How should input values be separated?
Use spaces, commas, semicolons, or newlines to separate numbers.
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