The quartiles of a data set divide the data into four equal parts, with one-fourth of the data values in each part. The second quartile position is the median of the data set, which divides the data set in half. To find the median position of the data set, divide the total number of data values (n) by 2. If there are an even number of data values, the median is the value that is the average of the value in the position and the + 1 position. (If there are an odd number of data values, the median is the value in the position.)

2. 𝑫𝒌 =
𝒌
𝟏𝟎
𝒏 + 𝟏
Measure Of Position In
Ungrouped Data Using Quartile

4. R E E A MU S
P OS I T I ON
ME A S U R E
S OP I T I NO

5. E T N
VI VI DE
DI VI DE
T E N

6. Q E U L A
S P A R T
E Q U A L
P A R T S

8. At the end of the lesson, the student
should be able to:
a. determine the decile for ungrouped data,
b. calculate a specified measure of position
of a set of data using decile; and
c. display cooperation with a group in doing
the activity.

9. HOW OLD ARE YOU?

10. • Record your ages on the table.
• Then arrange the data from least to greatest.
• Identify the smallest and the largest value of
your data.
• And present your work in class.

11. are techniques that divide a set of
data into equal groups.
To determine the measurement of position,
the data must be sorted from lowest to
highest or highest to lowest.
Measures of Position

12. The DECILES are nine score-points
that divide a distribution into ten
equal parts.

13. 𝑫𝒌 =
𝒌
𝟏𝟎
𝒏 + 𝟏
where k=1,2, ⋯,9
n is the number of your data.

14. Given below are ungrouped data.
Using the given data, determine the
5th Decile (D5). 2, 6, 5, 13, 15, 13, 16,
6, 7, 10, 11, 15, 18, 6, 14

15. First arrange the data from highest to lowest.
{2, 5, 6, 6, 6, 7, 10, 11, 13, 13, 14, 15, 15, 16, 18}
n= ? K=?
n=15 K=5

16. 𝐃𝐤 =
𝐤
𝟏𝟎
(𝐧 + 𝟏)
=
𝟓
𝟏𝟎
(𝟏𝟓 + 𝟏)
=
𝟓
𝟏𝟎
(𝟏𝟔)
=
𝟖𝟎
𝟏𝟎
= 𝟖 8th term is 11
D5 is the 8th term
Therefore, D5= 11
Given:
n=15 K=5

17. Find the 7th decile given the scores
of 11 students in their Science
project.
{25,18,30,8,15,5,10,35,40,43,45}

18. I. Evaluation
On a whole sheet of paper, answer the following:
Find the 4th decile and 7th decile of a data set: 1, 3, 3,
4, 5, 6, 6, 7, 8, 8,7,2,11,12,15,2,3,1

19. I. Assignment
Following are the scores of 24 Grade 10
students in a Mathematics Class: 45, 30, 36,
26,16, 21, 33, 40, 32, 14, 10, 29, 23, 39, 17,
11, 18, 34, 19, 24, 21, 42, 37. Find 𝐷1, 𝐷4, 𝐷6, 𝐷
7, 𝐷9 .