Deciles Calculator

Use this unified calculator to find deciles for both ungrouped (raw) data and grouped (frequency distribution) data. Deciles divide your dataset into 10 equal parts.

Quick Start

Deciles Calculator
Data Type	Ungrouped (Raw Data) Grouped (Frequency Distribution)
Enter the X Values (Separated by comma,)
Type of Frequency Distribution	DiscreteContinuous
Enter the Classes for X (Separated by comma,)
Enter the frequencies (f) (Separated by comma,)
Which Decile? (Between 1 to 9)

Results
Number of Observations (n):
Ascending order of X values:
Required Decile: D{{index}}

Understanding Deciles

Deciles divide data into 10 equal parts:

D₁ = 10th percentile
D₂ = 20th percentile
D₅ = 50th percentile (median)
D₉ = 90th percentile

Formulas

Ungrouped Data: $$D_i = \text{Value of } \left(\frac{i(n+1)}{10}\right)^{th} \text{ observation}$$

Grouped Data (Discrete): $$D_i = \left(\frac{i \cdot N}{10}\right)^{th} \text{ value}$$

Grouped Data (Continuous): $$D_i = l + \left(\frac{\frac{iN}{10} - F_<}{f}\right) \times h$$

Where:

i = decile number (1-9)
n = number of observations
N = total frequency
l = lower limit of decile class
F< = cumulative frequency before decile class
f = frequency of decile class
h = class width

Interpretation

Decile	Percentile	Meaning
D₁	10th	10% of data falls below this value
D₂	20th	20% of data falls below this value
D₅	50th	50% of data falls below this value (median)
D₉	90th	90% of data falls below this value

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