⚡ Quick answer
To calculate the range of your data set, subtract the minimum value from the maximum value.
Range Calculator
Compute the range (maximum − minimum) of a comma-separated sample.
📖 What it is
The Range Calculator is designed to help you determine the spread of a data set by calculating the difference between the maximum and minimum values. Understanding the range is crucial for interpreting data variability effectively.
To use this tool, simply input your sample data as a comma-separated list of numbers. The calculator will extract the maximum and minimum values from your input and provide the resulting range as output.
Keep in mind that this calculation assumes you are providing valid numerical data. The range can only be computed for samples containing two or more distinct values; single-value samples will yield a range of zero.
How to use
- Collect your data set.
- Identify the maximum value.
- Identify the minimum value.
- Subtract the minimum value from the maximum value to get the range.
📐 Formulas
- Maximum Value—max(X)
- Minimum Value—min(X)
- Range—Range = max(X) - min(X)
💡 Example
Consider the data set: 2, 4, 6, 11, 18.
1. Identify the maximum value: 18.
2. Identify the minimum value: 2.
3. Calculate the range: 18 - 2 = 16.
Real-life examples
Temperature Variability
In a week, temperatures recorded were 15°C, 20°C, 25°C, and 30°C. The range is 30 - 15 = 15°C.
Test Scores
Students scored: 55, 78, 82, 90, 95. The range is 95 - 55 = 40.
Scenario comparison
- Data Set A vs Data Set B—Data Set A has a range of 10 (max 20, min 10), while Data Set B has a range of 25 (max 50, min 25), indicating more variability.
- Salaries in Company X vs Company Y—Company X's salaries range from $40K to $60K, a range of $20K, while Company Y's range is $30K to $90K, a range of $60K, showing greater salary disparity.
Common use cases
- Analyzing test score variability in classrooms.
- Comparing price ranges of products in e-commerce.
- Determining temperature fluctuations over a month.
- Evaluating salary ranges across different job roles.
- Assessing the spread of investment returns in finance.
How it works
The range is calculated by subtracting the minimum value from the maximum value after parsing through all the valid numerical inputs provided by the user.
What it checks
This tool checks the spread of the sample using the simplest max-min distance.
Signals & criteria
- Minimum observation
- Maximum observation
- Difference
Typical errors to avoid
- Single-value samples (range is zero).
- Outliers that dominate the range.
- Parsing failures from stray text.
Decision guidance
Trust workflow
Recommended steps after getting a result:
- Input your data as comma-separated values.
- Check for any stray text or non-numeric entries.
- Submit the data to view the calculated range.
FAQ
FAQ
Is range the same as interquartile range?
No—IQR uses quartiles; range uses global min and max.
What if I only enter one number?
Min equals max, so range is zero.