Calculator Input
Example Data Table
| Dataset | Values | Minimum | Maximum | Range |
|---|---|---|---|---|
| Quiz Scores | 12, 18, 21, 9, 35, 28 | 9 | 35 | 26 |
| Daily Sales | 120, 150, 180, 210, 250 | 120 | 250 | 130 |
| Temperatures | 31, 29, 34, 37, 28, 33 | 28 | 37 | 9 |
Formula Used
Range = Maximum Value - Minimum Value
The calculator first sorts all numeric values. It selects the smallest value as the minimum. It selects the largest value as the maximum. Then it subtracts the minimum from the maximum.
Midrange is calculated as (Minimum + Maximum) / 2. IQR is calculated as Q3 - Q1. Outlier fences are calculated as Q1 - 1.5 × IQR and Q3 + 1.5 × IQR.
How to Use This Calculator
- Enter your dataset in the primary values box.
- Separate numbers with commas, spaces, new lines, semicolons, or pipes.
- Add a comparison dataset if you want side-by-side results.
- Enable frequency mode when your data has repeated values.
- Choose decimal precision, class count, and trim percent.
- Press the calculate button to view results above the form.
- Use the CSV or PDF buttons to export the result.
Understanding Data Range
What the Range Shows
The range is one of the fastest measures of spread. It shows how far the lowest value sits from the highest value. A small range means the values are close together. A large range means the values are more spread out. This makes the range useful for quick checks, class reports, quality reviews, surveys, finance tables, and general data summaries.
Why Minimum and Maximum Matter
The range depends only on two values. These are the minimum and maximum. Because of this, one unusual value can change the result a lot. For example, one very high sale can make daily sales look more variable than usual. That is why this calculator also gives quartiles, IQR, fences, and outlier counts. These extra measures help you judge whether the range is stable.
Using Advanced Measures
The midrange gives the center between the two extreme values. The IQR shows the spread of the middle half of the dataset. Standard deviation shows how values move around the mean. The trimmed range removes a chosen percentage from each side. This can help when extreme values are not useful for your main review.
Comparing Two Datasets
A comparison dataset can reveal which group has wider variation. You can compare scores, prices, weights, sales, response times, or measurements. The difference column shows how each metric changes between groups. Use this with the sorted values and outlier list for a clearer reading. Export the final report when you need a clean record for study or work.
Frequently Asked Questions
1. What is the range of data?
The range is the difference between the highest and lowest values. It shows the full spread of a dataset.
2. Can this calculator use negative numbers?
Yes. Enter negative values normally. The calculator sorts them and still subtracts the minimum from the maximum.
3. What separators can I use?
You can use commas, spaces, new lines, semicolons, or pipe symbols. Mixed separators also work.
4. What is trimmed range?
Trimmed range removes a chosen percentage from both tails. It helps reduce the effect of extreme values.
5. What does frequency mode do?
Frequency mode expands repeated values from a value list and count list. It is useful for grouped data.
6. Why are outlier fences included?
Outlier fences help identify values far from the middle spread. They use Q1, Q3, and IQR.
7. Is range enough for analysis?
Range is useful, but it can be affected by extremes. Review IQR, standard deviation, and outliers too.
8. Can I export the results?
Yes. Use the CSV button for spreadsheet work. Use the PDF button for a printable report.