Range in statistics is one of the fastest ways to measure how far apart your data values are. Use the calculator above to paste your numbers, get the range instantly, and check the minimum and maximum at the same time.
For a bigger picture of spread and center, also see your Descriptive Statistics Fundamentals pillar page and Descriptive Statistics hub.
What this means
The range shows the distance between the lowest value and the highest value in your dataset.
In homework or research, use it to briefly describe how wide the data spread is.
- The data should be numerical.
- Range = maximum − minimum.
- Outliers can strongly affect the result.
Show steps / formulas
Formula:
Range = Maximum − Minimum
Variables:
- Maximum = the largest value in the dataset
- Minimum = the smallest value in the dataset
Step-by-step method:
- List all numerical values in the dataset.
- Identify the smallest value.
- Identify the largest value.
- Subtract the minimum from the maximum.
Example:
Data: 12, 18, 15, 21, 10, 17, 14
Minimum = 10
Maximum = 21
Range = 21 − 10 = 11
Note: Range is easy to compute, but it does not show how the middle values behave. Two datasets can have the same range but very different distributions.
What this calculator does
This calculator finds the range of a numerical dataset.
It takes your pasted data and computes:
- the minimum
- the maximum
- the range
- optionally, the number of values
- optionally, the sorted data
The formula is simple:
Range = Maximum − Minimum
That makes range a quick measure of spread or variation. It tells you how wide the data stretches from the smallest value to the largest value.
When to use it (and when not to)
Use range when you need a quick measure of spread.
It is useful for:
- homework checks
- quiz review
- fast summaries of small datasets
- comparing how wide two datasets are
Do not rely on range alone when:
- your data has outliers
- you need a measure that uses more than two values
- your teacher asks for variance, standard deviation, or interquartile range (IQR) instead
That is because range only uses the smallest and largest values. A single unusual value can change it a lot.
How it works
The calculator reads your numerical data, then:
- finds the smallest value
- finds the largest value
- subtracts the smallest from the largest
That result is the range.
So if your data goes from 8 to 20, the range is 12.
A larger range usually means the data is more spread out. A smaller range usually means the data is more tightly grouped. But range does not show how the middle values are arranged. Two datasets can have the same range and still look very different.
Step-by-step example
Suppose your quiz scores are:
12, 18, 15, 21, 10, 17, 14
Step 1: Identify the minimum
The smallest value is 10.
Step 2: Identify the maximum
The largest value is 21.
Step 3: Subtract
Range = 21 − 10 = 11
Final answer
The range is 11.
What that tells you
Your scores span 11 points from the lowest score to the highest score.
If you were writing this in a homework solution, you could say:
“The range is 11, which means the scores are spread over 11 units from the minimum value to the maximum value.”
Common mistakes
Here are the mistakes students make most often:
- Using the first and last typed values instead of the true minimum and maximum
- Forgetting to sort mentally or check carefully for the smallest and largest numbers
- Mixing up range with interquartile range
- Thinking range describes the center of the data
- Using non-numerical entries by mistake
- Ignoring negative numbers when finding the minimum
If your answer looks off, check the highest and lowest values first. That is where most errors happen.
FAQs: Statistics Range Calculator
What is range in statistics?
Range is the difference between the largest and smallest values in a numerical dataset.
What does range result mean?
It tells you how wide your data spreads from the minimum to the maximum. A bigger range means a wider spread.
Is range a measure of center or spread?
Range is a measure of spread, not center. It shows variation, not the typical value.
Why is my answer different from my teacher’s?
Most often, one of three things happened: you missed the true minimum, you missed the true maximum, or your teacher used a different measure such as IQR, variance, or standard deviation.
Can range be negative?
No. If you subtract the smaller value from the larger value correctly, the range should be zero or positive.
When is range not the best choice?
Range is not the best choice when your data has outliers or when you need a more stable measure of spread. In those cases, IQR or standard deviation is often more informative.
Which test should I use after finding the range?
Range by itself is not a statistical test. It is a descriptive measure. If your class is asking you to compare groups or test a claim, you may need a different tool such as a z-score calculator, a standard deviation calculator, or a hypothesis test calculator.
Can two datasets have the same range but look different?
Yes. Two datasets can share the same minimum and maximum but have very different middle values. That is why range is helpful, but limited.
Related tools
Use these next if you want more than just the spread from lowest to highest:
- Mean, Median, and Mode Calculator — for the center of the data
- Standard Deviation Calculator — for overall spread using all values
- Summary Statistics Calculator — for min, Q1, median, Q3, and max
After you find the range, try the Standard Deviation Calculator or go back to the Descriptive Statistics hub to compare other measures of spread.
References
Khan Academy. (n.d.). Range and mid-range. https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/other-measures-of-spread/v/range-and-mid-range
National Institute of Standards and Technology. (n.d.). 1.3.5.6. Measures of scale. Engineering Statistics Handbook. https://www.itl.nist.gov/div898/handbook/eda/section3/eda356.htm