The document discusses different measures of position that are used to divide a data distribution, including quartiles, deciles, and percentiles. Quartiles divide a distribution into four equal parts, with the first quartile being the point where 25% of values fall below. Deciles divide the distribution into ten equal groups and percentiles divide it into 100 equal groups. Measures of position are techniques used to split a data set into portions to help characterize the values within it.

1. MOST ESSENTIAL
LEARNING COMPETENCY:
•Illustrates the
measures of
position (M10AL-
IVa-1)

2. 4 PICS 1 WORD

3. M A S E
E U
R

4. P O
S
T
I O
I N

5. MEASURES OF
POSITIONS
(QUARTILES)

6. TERMINOLOGIES.
•1. Deciles
•2. Percentiles
•3. Quantiles
•4. Quartiles

7. 1.Deciles - the nine score-
points which divide a
distribution into ten groups.
These deciles are denoted
as D1, D2, D3,…,D9.

8. 2. Percentiles - the ninety-nine score
points which divide a distribution into
one hundred groups so that each
group represents 1/100 of the data
set. They are used to characterize
values according to the percentage of
values below them.

9. 3. Quantiles - measures of
positions that divide a distribution
into four, ten, and hundred equal
parts. Such measures of positions
are quartiles, deciles, and
percentiles.

10. 4. Quartiles - the score- points which
divide a distribution into four groups.
Twenty five percent (25%) of the
distribution fall below the first quartile,
fifty percent (50%) fall below the second
quartile, and seventy-five percent (75%)
fall below the third quartile.

12. MEASURES OF POSITION
- are techniques that divide a set
of data into equal groups

13. THE DIFFERENT MEASURES
OF POSITION ARE:
•Quartiles
•Deciles
•Percentiles

14. QUARTILES
THE QUARTILES ARE THE SCORE
POINTS WHICH DIVIDE A
DISTRIBUTION INTO FOUR EQUAL
PARTS

15. Lower
Quartile
Middle
Quartile
Upper
Quartile
25% 50% 75% 100%

16. EXAMPLE:
The scores of 7 students in a
Mathematics seatwork are:
7 , 4 , 3 , 6 , 7 , 4 , 8

17. 7 4 3 6 7 4 8

18. USING THE FORMULA
•
k = position of the
quartile
n = total no. of
data

19. Lower
Quartile
Middle
Quartile
Upper
Quartile
25% of the
scores
is lower than 4
50% of the
scores is
lower than 6
75% of the
scores is
lower than 7

20. •
4 9 7 14
8 12 15 6 11
10