Formula of Decile
Decile has two ways to be calculated based on the type of data.
Formula of Decile
The two formulas to calculate decile are:
- Decile Formula for Ungrouped Data
- Decile Formula for Grouped Data
Decile Formula for Ungrouped Data
To find the decile for ungrouped data, first, the data needs to be arranged in ascending order. Then, the following formula is applied:
Decilen = (n/10) × (N + 1)
where,
- Decilen represents the nth decile.
- n is the decile number (e.g., 1st decile, 2nd decile, etc.).
- N is the total number of data points.
Decile Formula for Grouped Data
To calculate the decile of a grouped data, cumulative frequency is used. The formula to find the decile of a grouped date is as follows:
Decilen = L + [Tex]\left( \frac{\left(\frac{n}{10} \times N \right) – F}{f} \right) \times c[/Tex]
where,
- Decilen represents the nth decile.
- n is the decile number (e.g., 1st decile, 2nd decile, etc.).
- L is the lower boundary of the decile class.
- N is the total frequency.
- F is the cumulative frequency of the class preceding the decile class.
- f is the frequency of the decile class.
- c is the class width.
Decile – Definition, Formula, Rank, Examples
Decile is a statistical measure that divides a dataset into ten equal parts, and each part contains 10% of the data. It is different from percentage as in percentage there are 100 parts. In this article, we will learn in detail about what is decile, the formulas of decile (grouped data and ungrouped data)
Table of Content
- What is Decile?
- Definition of Decile
- Formula of Decile
- Decile Formula for Ungrouped Data
- Decile Formula for Grouped Data
- Decile Class Rank
- How to Calculate Decile?
- Examples of Decile
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