Decile Calculator — D1 to D9 for Any Data Set
Enter your data set to instantly compute all nine deciles (D1–D9), which split the distribution into ten equal groups. Also displays the median, IQR, mean, standard deviation and min/max.
The middle value; 50% of observations fall below this point
- 1
Arv
n = 10 = 10 - 2
Fractional rank (D5)
rank = 0.5 × (10 − 1) = 4,5Linear interpolation rank on the zero-based sorted index. - 3
Neighbour values (positions 4 and 5)
sorted[4] = 60, sorted[5] = 72 - 4
Interpolate median
60 + 0,5 × (72 − 60) = 66
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Deciles D1–D9 split a sorted data set at the 10th, 20th, …, 90th percentiles using linear interpolation. D5 is the median. The interdecile range (D9 − D1) measures spread, excluding the 10% tails. At least 4 numbers are needed; 10+ recommended for reliable results.
Valem
How this is calculated
Deciles are nine cut-points that divide a sorted data set into ten equal-sized groups. D1 (the first decile) is the value below which 10% of observations fall; D5 is the median (50%); D9 is the value below which 90% fall. They are special cases of percentiles, computed at multiples of 10.
This calculator sorts your numbers from smallest to largest and applies linear interpolation. For each decile p (where p is 10, 20, …, 90), a fractional rank of (p / 100) × (n − 1) is computed on the zero-based sorted index. If that rank lands on a whole number, the decile equals the value at that position. If it falls between two ranked values, the two neighbours are blended proportionally — the same smooth interpolation method used by spreadsheets and most statistical software.
Deciles are widely used to compare distributions without assuming normality. For example, D1 and D9 are used in income inequality analysis (the 90/10 ratio), D4–D6 together with the IQR characterise spread, and the interdecile range (D9 − D1) is a robust alternative to the full data range because it excludes the 10% most extreme values on each end.
Korduma kippuvad küsimused
A percentile is a cut-point for any percentage from 0 to 100. Deciles are a specific set of percentiles at multiples of 10 (10th, 20th, …, 90th percentile). All deciles are percentiles, but not all percentiles are deciles.
Technically you only need 2, but meaningful deciles require at least 10–20 observations. With very small samples, interpolation can produce decile values that fall between observed data points, so treat results with fewer than 10 observations cautiously.
The interdecile range is D9 − D1, the span from the 10th to the 90th percentile. It measures spread while excluding the 10% most extreme values on each side, making it more robust than the full range when outliers are present.
Tuntud ka kui
TG we-Calculate Editorial Team. (2026). Decile Calculator — D1 to D9 for Any Data Set [Online calculator]. TG we-Calculate. https://we-calculate.com/et/calculator/decile-calculator
TG we-Calculate Editorial Team. "Decile Calculator — D1 to D9 for Any Data Set." TG we-Calculate. 2026. https://we-calculate.com/et/calculator/decile-calculator.
TG we-Calculate Editorial Team, "Decile Calculator — D1 to D9 for Any Data Set," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/et/calculator/decile-calculator
@misc{wecalculate_decile_calculator, title = {Decile Calculator — D1 to D9 for Any Data Set}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/et/calculator/decile-calculator}}, year = {2026}, note = {TG we-Calculate} }
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