In data, a decile is part of any 9 values that divide the taken care of information into ten same elements. each variety of the information represents 1/10 of the sample or populace. The decile calculations are quite just like the quartile measurements.
Consider the statistical dataset: 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 27, 28, 30. You need to find the sixth decile (D6) of the given dataset.
Solution
The tabular representation of the dataset values is given below. Decile calculation simplifies the information and makes it easier to understand:
| Observation | X |
| 1 | 10 |
| 2 | 12 |
| 3 | 14 |
| 4 | 15 |
| 5 | 16 |
| 6 | 18 |
| 7 | 20 |
| 8 | 21 |
| 9 | 22 |
| 10 | 24 |
| 11 | 25 |
| 12 | 27 |
| 13 | 28 |
| 14 | 30 |
Now, we arrange the data in ascending order to proceed with the decile calculation:
| Position | X (Asc. Order) |
| 1 | 10 |
| 2 | 12 |
| 3 | 14 |
| 4 | 15 |
| 5 | 16 |
| 6 | 18 |
| 7 | 20 |
| 8 | 21 |
| 9 | 22 |
| 10 | 24 |
| 11 | 25 |
| 12 | 27 |
| 13 | 28 |
| 14 | 30 |
Decile formula for the sixth value:
The decile formula for the sixth decile (D6) is:
\[ D_P = \frac{(n + 1) \times P}{10} \]
Where \( n = 14 \) (total number of observations) and \( P = 6 \) (decile position).
\[ D_6 = \frac{(14 + 1) \times 6}{10} = \frac{15 \times 6}{10} = 9 \]
D6 = 9
From the sorted dataset, the value in the 9th position is **22**.
Thus, D6 = 22.
The decile calculation may be accomplished in more than one steps with the net decile calculator. The simple steps of calculating deciles are given below: let's see how?
Input:
Output:
The magnificence ranks are the ten identical components of the decile values or subsections of the decile calculations. each part of the decile calculation represents 10 % of the dataset
