The document explains how to calculate deciles, quartiles, and percentiles for ungrouped data. It provides a formula for determining the position of these values within a sorted dataset, illustrated by an example involving test scores from 15 students. The document also demonstrates the process of arranging data and finding the specific scores based on their distribution positions.

1. DECILES, QUARTILES
AND PERCENTILES FOR
UNGROUPED DATA

2. DECILES FOR UNGROUPED DATA
- Any of the nine values that divide the sorted
data into ten equal parts, so that each part
represents 1/10 of the sample or population.

3. FORMULA:
= (n + 1)
= (n + 1)
.
.
.
.
= (n + 1)
Wherein: n = number of data scores

4. EXAMPLE:
These are the scores of 15 students of Grade 10
St.Peter in a 20-item test: 1, 7, 9, 12, 15, 18, 20,
15, 14, 13, 15,20, 20, 3, 5. Find the of the
following set of data.

5. Arrange the numbers in ascending order.
1, 3, 5, 7, 9, 12, 13, 14, 15, 15, 15, 18, 20, 20, 20
Locate the position of the score in the distribution.
= (n + 1)
= (15 + 1)
= (16)
= 1.6th
term

6. = 1st
+ 0.6 (2nd
– 1st
)
= 1 + 0.6 (3 – 1)
= 1 + 0.6 (2)
= 1 + 1.2
= 2.2

7. Find the of the following set of data.
1, 3, 5, 7, 9, 12, 13, 14, 15, 15, 15, 18, 20, 20, 20

8. Find the of the following set of data.

9. Find the of the following set of data.

10. Find the of the following set of data:
19 12 16 0 14
9 6 1 12 13
10 19 7 5 8