Find any grouped decile using a structured method. Check class location, interpolation, and cumulative frequency. Download results, compare examples, and learn the formula confidently.
| Class Interval | Frequency | Cumulative Frequency |
|---|---|---|
| 0 - 10 | 5 | 5 |
| 10 - 20 | 8 | 13 |
| 20 - 30 | 12 | 25 |
| 30 - 40 | 9 | 34 |
| 40 - 50 | 6 | 40 |
Dk = L + ((kN / 10 - CFprev) / f) × h
Dk = required decile
L = lower limit or lower class boundary of the decile class
k = selected decile number from 1 to 9
N = total frequency
CFprev = cumulative frequency before the decile class
f = frequency of the decile class
h = class width
This calculator assumes the entered lower and upper values represent continuous class limits or class boundaries.
Deciles divide a distribution into ten equal parts. They help you understand the position of values inside grouped data. This calculator estimates any decile from D1 to D9. It uses class intervals, frequencies, cumulative frequency, and interpolation. The method is standard in descriptive statistics. It is useful for class tests, reports, and practical data summaries.
Grouped data does not list every raw value. It combines values into intervals. Because of that, the exact decile is not read directly from the table. You must first locate the decile class. Then you estimate the position inside that class. The grouped decile formula handles this step. It gives a reliable estimate when the class structure is correct.
The calculator first adds all frequencies to get N. Next it computes kN/10. That gives the target position for the chosen decile. After that, it scans the cumulative frequencies. The first class whose cumulative total reaches or passes that position becomes the decile class. The lower class limit, class width, previous cumulative frequency, and class frequency are then used in the interpolation formula.
Deciles are useful for comparison. They show how far a value lies within a distribution. Teachers use them to review score spread. Analysts use them to study grouped observations. Researchers use them to compare sections of a sample. Business users may apply them to grouped sales or service data. A clear decile estimate helps explain ranking and distribution shape.
This page also shows worked details. You can review the decile class, the cumulative position, and the substituted formula. That improves checking and learning. The calculator also supports CSV and PDF export. An example grouped table is included for quick practice. These features make the page useful for both study and daily statistical work.
A decile divides a distribution into ten equal parts. In grouped data, each decile is estimated from class intervals and frequencies rather than raw values.
Interpolation is used because grouped tables store ranges, not exact values. It estimates where the decile lies inside the identified class interval.
You can calculate D1 through D9. Each one marks a different ten percent cut point within the grouped frequency distribution.
Enter one class per line using this pattern: lower limit, upper limit, frequency. Example: 10,20,8
Yes. Grouped classes should be in ascending order. The auto sort option can arrange them for you before calculation.
It is the cumulative total before the decile class starts. The formula subtracts it to find how far the target position lies within that class.
Yes. The calculator uses the width of the identified decile class. Each row can therefore have a different interval size.
Yes. This page assumes the lower and upper values represent continuous class limits or class boundaries for the grouped decile formula.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.