Explore one-variable and paired-data statistics quickly today. Visualize histograms, box plots, scatter trends, and regression. Turn raw numbers into confident mathematical insights with graphs.
Enter raw values for one-variable statistics. Add optional frequencies for repeated observations. Enter X and Y lists for regression and scatter analysis.
| Dataset Type | Input Values | Optional Frequency | Main Output |
|---|---|---|---|
| One Variable | 12, 15, 18, 20, 22, 22, 24, 27, 30 | Leave blank | Mean, median, quartiles, variance, histogram |
| Grouped Repetition | 10, 20, 30, 40 | 2, 4, 3, 1 | Weighted dataset expansion with bar chart |
| Paired Regression | X: 1, 2, 3, 4, 5, 6 | Y: 3, 5, 7, 8, 11, 14 | Slope, intercept, correlation, scatter plot |
Mean: mean = (sum of all values) / n
Median: middle ordered value, or average of two middles
Mode: most frequent repeated value or values
Range: max − min
Population Variance: Σ(x − mean)² / n
Sample Variance: Σ(x − mean)² / (n − 1)
Standard Deviation: square root of variance
Q1 and Q3: 25th and 75th percentiles
IQR: Q3 − Q1
Coefficient of Variation: (sample standard deviation / |mean|) × 100
Skewness and Kurtosis: standardized third and fourth moment measures
Slope: Σ[(x − meanX)(y − meanY)] / Σ[(x − meanX)²]
Intercept: meanY − slope × meanX
Regression Line: y = intercept + slope × x
Correlation: r = SSxy / √(SSxx × SSyy)
It handles raw one-variable datasets, repeated-value frequency lists, and paired X-Y datasets for regression. You can study center, spread, shape, and linear relationships in one page.
Use frequencies when each listed data value repeats several times. For example, value 20 with frequency 4 means 20 appears four times in the dataset.
Population variance divides by n because every value is included. Sample variance divides by n minus 1 to correct estimation bias from partial observations.
If every value appears only once, the dataset has no repeated most-common value. In that case, the calculator reports no repeated mode.
It plots each X-Y pair as a point and overlays the best-fit straight line. This helps you see direction, strength, and prediction trend visually.
A value close to 1 means a strong positive or negative linear relationship. A value near 0 means weak linear association, though patterns may still exist.
Quartiles divide ordered data into four parts. IQR measures the middle spread and is useful for spotting outliers and comparing distributions.
Yes. After calculation, you can download a CSV for spreadsheet work or a PDF for quick sharing, archiving, or classroom submissions.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.