# Data Distribution Analyzer

Comprehensive data distribution analysis with normality tests, outlier detection, and goodness-of-fit assessments

> Canonical page: https://elysiatools.com/en/tools/distribution-analyzer

- **Category:** Data Analysis

- **Keywords:** distribution, normality test, outliers, goodness of fit, data analysis, statistical testing, histogram

## Overview

The Data Distribution Analyzer provides a comprehensive statistical toolkit to evaluate your datasets, offering automated normality testing, outlier detection, and goodness-of-fit assessments to help you understand the underlying structure of your data.

## Inputs

- **Data Input** (textarea): Enter your data values separated by commas or new lines... Examples: - Normal: 50, 51, 49, 52, 48, 50, 51, 49, 50, 52 - Skewed: 45, 48, 50, 52, 55, 58, 60, 65, 70, 80 - Bimodal: 20, 25, 30, 35, 40, 60, 65, 70, 75, 80
- **Data Format** (select)
- **Significance Level** (select)
- **Include Histogram Data** (checkbox): Generate frequency distribution and percentile information
- **Test Normality** (checkbox): Perform Anderson-Darling, Shapiro-Wilk, and Jarque-Bera tests
- **Detect Outliers** (checkbox): Identify outliers using multiple methods (IQR, Z-score, and robust statistics)

## When to use

- When you need to verify if your dataset follows a normal distribution before performing parametric statistical tests.
- When identifying anomalies or extreme values that may skew your analysis results.
- When exploring the frequency and spread of data points to determine the best model for further predictive analysis.

## How it works

- Input your numerical data as a comma-separated list or column, selecting whether to analyze a single set or flatten multiple columns.
- Choose your desired significance level (0.01, 0.05, or 0.10) to calibrate the sensitivity of your statistical tests.
- Enable specific modules such as normality tests (Shapiro-Wilk, Anderson-Darling), outlier detection (IQR, Z-score), and histogram generation.
- Review the generated report to identify distribution patterns, statistical significance, and flagged data points.

## Use cases

- Quality Control: Detecting process variations by identifying outliers in manufacturing output data.
- Financial Modeling: Testing return distributions to ensure they meet the assumptions required for risk assessment models.
- Academic Research: Validating the normality of survey response data before applying parametric regression analysis.

## Frequently asked questions

### What normality tests are supported?

The tool performs Anderson-Darling, Shapiro-Wilk, and Jarque-Bera tests to assess if your data follows a normal distribution.

### How does the tool detect outliers?

It uses multiple robust statistical methods, including Interquartile Range (IQR) and Z-score analysis, to identify values that deviate significantly from the mean.

### What does the significance level setting do?

It defines the threshold for statistical significance (p-value). A 0.05 level corresponds to 95% confidence, which is standard for most scientific research.

### Can I analyze multiple columns of data at once?

Yes, by selecting the 'Multiple columns' format, the tool will flatten all provided values into a single dataset for unified analysis.

### Does this tool provide visual charts?

While it does not generate image files, it provides comprehensive frequency distribution data and percentile information that can be used to construct histograms.

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## Samples

- [Path Analyzer Samples](https://elysiatools.com/en/samples/path-analyzer): Comprehensive collection of file system paths from Windows, Linux, and macOS for path analysis and testing
- [URL Query Analyzer Samples](https://elysiatools.com/en/samples/url-with-query-samples): Comprehensive collection of URLs with query parameters for testing URL parsing, encoding validation, and parameter extraction
- [Copyright-Free FLAC Audio Samples](https://elysiatools.com/en/samples/flac-samples): Lossless FLAC audio samples for testing and development, mirrored from MP3 set with nature sounds and meditation music
- [Copyright-Free MP3 Audio Samples](https://elysiatools.com/en/samples/mp3-samples): Collection of royalty-free audio samples for testing and development purposes including nature sounds, meditation music, and ambient audio

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