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DESCRIPTIVE & INFERENTIAL STATISTICS
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Data Stats Analyzer

Calculate mean, median, mode, sample & population variance, standard deviation, quartiles, and Tukey outlier fences with step-by-step mathematical deviation tables.

✓Bessel's Correction (s² Sample Variance)
✓Five-Number Summary & Outlier Fences
✓Step-by-Step Deviation Tables
Sample Size: n = 10
Mean: 81.0000

Std Dev (s): 8.9815 | Median: 81.0000

Dataset Input

Delimited Numbers
Sample Size: n = 10Sum = 810.0000
Mean (Arithmetic)81.0000
Median (50th %)81.0000
ModeNo Mode
Range (Max - Min)30.0000
Sample Std Dev (s)8.9815
Sample Variance (s²)80.6667
Population Std Dev (σ)8.5206
Population Var (σ²)72.6000

Five-Number Summary & Tukey Fences

Minimum65
First Quartile (Q1)75.7500
Median (Q2)81.0000
Third Quartile (Q3)87.2500
Maximum95
Interquartile Range (IQR):11.5000
Detected Outliers:None Detected
10 observations

Descriptive Statistics Calculator - Free Client-Side Calculator

Calculate mean, median, mode, variance, standard deviation, quartiles (Q1, Q3), IQR, and range for numerical datasets.

Designed for students, researchers, and professionals, this utility performs Client-side calculations inside your browser with zero network calls or data tracking.

Core Tool Capabilities

  • Summary Measures: Computes Arithmetic Mean, Geometric Mean, Median, Mode, and Range.
  • Variance & Std Dev: Calculates both Sample (s) and Population (σ) variance and standard deviation.
  • Quartiles & IQR: Computes Q1, Q2 (Median), Q3, and Interquartile Range (IQR).
  • Outlier Detection: Identifies statistical outliers using 1.5 × IQR boundaries.

Local Browser Privacy

Your files are processed locally on your device. Files are not uploaded, transmitted, or stored on remote servers.

Once the page has loaded, you can disconnect your network connection and continue using this tool offline.

Target Use Cases

  • • Academic & Educational Work
  • • Daily Utility

Technical Specifications & Platform Limits

Execution Environment
Client-side Browser Memory

Runs locally in modern web browsers

Calculation Engine
IEEE 754 / BigInt High Precision

Accurate mathematical evaluation

Privacy Guarantee
No Telemetry or Storage

Zero server-side logging or tracking

Step-by-Step Workflow

1

Enter Values

Provide numerical parameters into the active inputs.

2

Select Options

Choose units, formulas, or precision rules.

3

View Results

Instantly view exact calculated results, breakdowns, and step explanations.

Practical Real-World Use Cases

Academic & Educational Work

Verify mathematical homework, physics formulas, or geometry exercises.

Daily Utility

Compute everyday calculations quickly without ads or paywalls.

Frequently Asked Questions

What is the difference between sample and population standard deviation?
Sample std dev divides by (N - 1) to correct for sample bias, whereas population std dev divides by N.
How do I input data?
Paste comma-separated, space-separated, or newline-separated numbers into the input text area.

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