Categories

Number Range Statistics

Analyze and count numbers within specified ranges or intervals

Key Facts

Category
Data Analysis
Input Types
textarea, select, number, text, checkbox
Output Type
text
Sample Coverage
4
API Ready
Yes

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.

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.

Examples

1. Analyzing Test Score Distribution

Teacher
Background
A teacher has a list of 50 student exam scores and needs to see how many students fall into each letter grade bracket.
Problem
Manually counting scores into ranges like 0-59, 60-69, etc., is prone to error.
How to Use
Paste the scores, select 'Custom Ranges', and input the grade boundaries (e.g., 'F:0-59', 'D:60-69').
Example Config
rangeType: custom, customRanges: 'F:0-59\nD:60-69\nC:70-79\nB:80-89\nA:90-100'
Outcome
A clear table showing the count and percentage of students in each grade category.

2. Price Tier Frequency Analysis

E-commerce Analyst
Background
An analyst needs to understand the distribution of order values to optimize shipping thresholds.
Problem
The raw transaction data is too granular to identify common spending patterns.
How to Use
Input the transaction list, select 'Fixed Interval', and set the bin width to 50.
Example Config
rangeType: fixed-interval, binWidth: 50, outputFormat: table
Outcome
An HTML table displaying the frequency of orders within every $50 increment, highlighting the most common spending range.

Try with Samples

data-analysis

Related Hubs

FAQ

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.

API Documentation

Request Endpoint

POST /en/api/tools/number-range-statistics

Request Parameters

Parameter Name Type Required Description
data textarea Yes -
rangeType select No -
binCount number No -
binWidth number No -
startValue text No -
endValue text No -
customRanges textarea No -
dataFormat select No -
includeStatistics checkbox No -
chartData checkbox No -
outputFormat select No -
sortResults select No -

Response Format

{
  "result": "Processed text content",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}
Text: Text

AI MCP Documentation

Add this tool to your MCP server configuration:

{
  "mcpServers": {
    "elysiatools-number-range-statistics": {
      "name": "number-range-statistics",
      "description": "Analyze and count numbers within specified ranges or intervals",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=number-range-statistics",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

You can chain multiple tools, e.g.: `https://elysiatools.com/mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp`, max 20 tools.

If you encounter any issues, please contact us at [email protected]