# Number Range Statistics

Analyze and count numbers within specified ranges or intervals

> Canonical page: https://elysiatools.com/en/tools/number-range-statistics

- **Category:** Data Analysis

- **Keywords:** range, statistics, distribution, frequency, histogram, bins, intervals, number range statistics

## Overview

The Number Range Statistics tool allows you to quickly analyze datasets by grouping numbers into specific intervals, providing clear insights into frequency distribution and data patterns.

## Inputs

- **Number Data** (textarea): Enter numbers (comma, space, or newline separated)...
- **Range Type** (select)
- **Number of Bins** (number): Number of intervals (for equal width/frequency)
- **Bin Width** (number): Width of each bin (for fixed interval)
- **Start Value** (text): Minimum value for ranges (optional)
- **End Value** (text): Maximum value for ranges (optional)
- **Custom Ranges** (textarea): Enter custom ranges (one per line): min-max or label:min-max
- **Data Format** (select)
- **Include Statistics** (checkbox)
- **Generate Chart Data** (checkbox)
- **Output Format** (select)
- **Sort Results** (select)

## When to use

- When you need to create a histogram or frequency distribution from a raw list of numbers.
- When you want to categorize large datasets into meaningful buckets like age groups, price ranges, or test scores.
- When you need to verify data density across specific numerical segments for reporting or research.

## How it works

- Paste your list of numbers into the input field, selecting the appropriate separator format.
- Choose a range type, such as equal width, fixed interval, or custom ranges, to define how your data is segmented.
- Configure optional settings like bin counts or specific start and end values to refine your analysis.
- Generate the results in your preferred format, including summary statistics and chart-ready data.

## Use cases

- Analyzing student test score distributions to determine grade brackets.
- Grouping customer purchase amounts into price tiers for marketing analysis.
- Categorizing sensor readings into safety thresholds for quality control reports.

## Frequently asked questions

### What input formats are supported?

The tool accepts numbers separated by commas, spaces, or newlines, and can handle mixed separators automatically.

### Can I define my own custom ranges?

Yes, select 'Custom Ranges' and enter your specific intervals in the format 'min-max' or 'label:min-max' on separate lines.

### What is the difference between equal width and equal frequency?

Equal width divides the range into bins of the same size, while equal frequency attempts to put an equal number of data points into each bin.

### Can I export the results?

Yes, you can output the analysis as JSON, CSV, an HTML table, or a summary report.

### Is there a limit to the number of bins I can create?

You can configure between 2 and 100 bins for your distribution analysis.

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## Samples

- [EU VAT Number Samples](https://elysiatools.com/en/samples/eu-vat): Collection of EU VAT numbers from all member states for validation testing
- [Global Phone Number Samples](https://elysiatools.com/en/samples/global-phone): Collection of phone numbers from various countries for validation testing
- [Number & Currency Samples](https://elysiatools.com/en/samples/number-currency-samples): Text containing various number and currency formats for testing currency extraction
- [Passport Number Samples](https://elysiatools.com/en/samples/passport): Collection of valid passport number samples from various countries (China, USA, Japan, UK, Germany, etc.) for testing