Statistics Calculator
Comprehensive statistics calculator for data analysis. Calculate mean, median, mode, standard deviation, variance, quartiles, and frequency distribution for any dataset.
Statistics Calculator
Statistical Measures
How to Use the Statistics Calculator
- Enter Your Data: Input numbers separated by commas, semicolons, or spaces in the text area
- Use Sample Data: Click on sample data buttons (Test Scores, Ages, etc.) to try with example datasets
- View Results: See comprehensive statistical analysis including central tendency and variability measures
- Check Quartiles: Review Q1, Q2 (median), Q3, and interquartile range (IQR) values
- Analyze Distribution: Examine sorted data and frequency distribution of your dataset
- Interpret Measures: Use the reference guide to understand what each statistical measure represents
Examples and Use Cases
Student Test Scores
Sales Data Analysis
Understanding the Results
Central Tendency
Mean (Average)
Sum of all values divided by count. Sensitive to outliers. Best for normally distributed data.
Median
Middle value when data is sorted. Not affected by outliers. Best for skewed distributions.
Mode
Most frequently occurring value(s). Can be multiple values or none. Best for categorical data.
Variability Measures
Standard Deviation
Average distance of data points from the mean. Lower values indicate data is closer to the mean.
Variance
Square of standard deviation. Measures spread of data points around the mean.
Interquartile Range (IQR)
Difference between Q3 and Q1. Measures spread of the middle 50% of data, resistant to outliers.
Frequently Asked Questions
What's the difference between population and sample statistics?
This calculator uses sample statistics (n-1 in variance calculation). Sample statistics are used when your data represents a subset of a larger population, which is most common in real-world analysis.
When should I use median instead of mean?
Use median when your data has outliers or is skewed. Median is not affected by extreme values, making it more representative of typical values in such datasets.
What does "No mode" mean?
"No mode" appears when all values in your dataset occur with the same frequency (typically once each). In such cases, there's no value that appears more frequently than others.
How are quartiles calculated?
Q1 is the median of the lower half, Q2 is the overall median, and Q3 is the median of the upper half. The IQR (Q3-Q1) represents the range containing the middle 50% of your data.
What input formats are supported?
You can separate numbers with commas, semicolons, spaces, or any combination. The calculator automatically parses and filters valid numbers from your input.
Can I analyze negative numbers or decimals?
Yes! The calculator works with positive numbers, negative numbers, and decimal values. All statistical measures are calculated accurately regardless of the number format.
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