Advanced Statistics Calculator
Calculate comprehensive statistics including Mean, Median, Mode, Variance, Standard Deviation, Quartiles, and more.
About Statistical Measures
This calculator provides comprehensive statistical analysis including measures of central tendency, dispersion, and distribution shape.
Frequency Distribution
How to Use the Advanced Statistics Calculator
Enter Your Dataset
Input your numbers in the text area using any of these formats:
- Comma-separated: 5, 10, 15, 20
- Space-separated: 5 10 15 20
- New line-separated for better organization
- Supports decimals, negatives, and large datasets
Tip: Use the example buttons to quickly test different datasets.
Calculate Comprehensive Statistics
Click "Calculate Statistics" to compute:
- Central Tendency: Mean, Median, Mode
- Dispersion: Variance, Standard Deviation
- Distribution: Quartiles, IQR, Range
- Basic Stats: Sum, Count, Min, Max
Note: For even-numbered datasets, median is the average of two middle values.
Understand Quartiles & IQR
Quartiles divide your data into four equal parts:
- Q1 (First Quartile): 25th percentile
- Q2 (Second Quartile): Median (50th percentile)
- Q3 (Third Quartile): 75th percentile
- IQR (Interquartile Range): Q3 - Q1
Pro Tip: IQR helps identify outliers in your data.
Interpret Variance & Standard Deviation
These measure data dispersion:
- Variance: Average of squared differences from mean
- Standard Deviation: Square root of variance
- Higher values indicate more spread in data
- Lower values indicate data points are closer to mean
Review Frequency Distribution
Check how often each value appears:
- Identifies the most common values
- Helps understand data distribution shape
- Useful for identifying patterns and outliers
Note: The frequency list is sorted by occurrence count.
Download or Reset
After analysis:
- Download comprehensive results as a text file
- Reset to analyze a new dataset
- Compare different datasets
Pro Tip: Use downloaded results for reports or further analysis.