Summary Statistics Calculator
Use this unified calculator to find comprehensive summary statistics for both ungrouped (raw) data and grouped (frequency distribution) data. Get mean, median, quartiles, min, and max in one calculation.
Quick Start
| Summary Statistics Calculator | |
|---|---|
| Data Type | Ungrouped (Raw Data) Grouped (Frequency Distribution) |
| Enter the X Values (Separated by comma,) | |
| Type of Frequency Distribution | DiscreteContinuous |
| Enter the Classes for X (Separated by comma,) | |
| Enter the frequencies (f) (Separated by comma,) | |
| Results | |
| Number of Observations (N): | |
| Minimum: | |
| First Quartile (Q₁): | |
| Median (Q₂): | |
| Mean: | |
| Third Quartile (Q₃): | |
| Maximum: | |
Summary Statistics Explained
Summary Statistics provides a comprehensive overview of data characteristics:
- Minimum: Smallest value in dataset
- Q₁ (First Quartile): 25th percentile
- Median (Q₂): 50th percentile, middle value
- Mean: Average value
- Q₃ (Third Quartile): 75th percentile
- Maximum: Largest value
Quick Interpretation
Compare the measures to understand distribution shape:
- Mean ≈ Median: Symmetric distribution
- Mean > Median: Right-skewed distribution
- Mean < Median: Left-skewed distribution
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