Decile Calculator
Enter data values to obtain the nine decile cut points, along with the dataset minimum and maximum.
Minimum
12.000
Maximum
45.000
Count
12
| Decile | Value |
|---|---|
| D1 | 15.300 |
| D2 | 18.600 |
| D3 | 21.900 |
| D4 | 25.200 |
| D5 | 28.500 |
| D6 | 31.800 |
| D7 | 35.100 |
| D8 | 38.400 |
| D9 | 41.700 |
How to Use This Calculator
- Provide your dataset with values separated by spaces or commas.
- Review the table to locate each decile (10th, 20th, …, 90th percentile).
- Use deciles to understand distribution spread or categorize observations into ten equal groups.
- Combine with visual tools (histograms, box plots) for deeper insight.
Formula
Decile Dk = Q((k/10)), where Q(p) interpolates the sorted data at position (n − 1)p
D₁ through D₉ divide the dataset into ten equal parts.
We use linear interpolation between sorted observations, matching the method in many statistical packages.
Full Description
Deciles are quantiles tailored to ten equal partitions. They help summarize large datasets, identify outliers, and benchmark performance by percentile. Financial analysts use deciles for portfolio splits, while educators apply them to standardized test results.
Because they rely solely on ordering, deciles are robust to extreme scale changes but depend on accurate data sorting.
Frequently Asked Questions
How many values do I need?
At least two values. Larger datasets yield more meaningful decile cut points.
Do deciles equal percentiles?
Deciles correspond to every 10th percentile (10%, 20%, …, 90%).
Can I include negative numbers?
Yes. Deciles only require ordered numeric values.
What if multiple values are identical?
The interpolation method handles duplicates gracefully; deciles may overlap when data repeat.