5. MEASURES OF POSITION/QUANTILES
- are techniques that divide a
set of data into equal groups
Fractiles are numbers that partition or
divide an ordered data set into equal parts.
6. MEASURES OF POSITION/QUANTILES
•Used to describe the position
of a data value in relation to
the rest of the data.
Types:
1. Quartiles
2. Percentiles
3. Deciles
7. QUANTILES CAN BE APPLIED WHEN:
•Dealing with large amount of data,which
includes the timely results for standardized
tests in schools,etc.
•Trying to discover the smallest as well as the
largest values in a given distribution.
•Examining financial fields for academic as well
as statistical studies.
19. EXAMPLE……
A group of students obtained the
following scores in their statistics
quiz:
8, 2, 5, 4, 8, 5, 7, 1, 3, 6, 9
(LM Activity 4,#2)
20. First,arrange the scores in ascending order:
1, 2, 3
3, 4, 5, 5
5, 6, 7, 8
8, 8, 9
Q1
Lower
Quartile
Q2
Middle
Quartile
Q3
Upper
Quartile
Observe how the lower quartile (Q1), middle quartile
(Q 2),and upper quartile (Q3) of the scores are
obtained.Complete the statements below:
The first quartile 3 is obtained by .
(observe the position of 3 from 1 to 5).
The second quartile 5 is obtained by .
(observe the position of 5 from 1 to 9).
The third quartile 8 is obtained by .
(observe the position of 8 from 6 to 9).
Middle Quartile
is also the
MEDIAN
21. EXAMPLE……
The scores of 10 students in a
Mathematics seatwork are:
7, 4, 8, 9, 3, 6, 7, 4, 5, 8
(LM Activity 4,#3)
22. First,arrange the scores in ascending order:
3 , 4 , 4 , 5 , 6 , 7 , 7 , 8 , 8 , 9
Q1
Lower
Quartile
Q2
𝟐
𝟔+𝟕
= 6.5
Q3
Upper
Quartile
Discuss with your group mates:
a. Your observations about the quartile.
b. How each value was obtained.
c. Your generalizations regarding your observations.
23. EXAMPLE……
1.The owner of a coffee shop recorded the
number of customers who came into his
café each hour in a day.The results were 14,
10,12,9 17,5,8,9 10 ,and 11.Find the
lower quartiles and upper quartile of the
data.
2.Find Q1, Q 2,and Q3.
12 ,9 ,24 ,3 ,13 ,20 ,17 ,11
24. QUARTILE
U N G R O U P E D D A T A B Y M E N D E N H A L L
A N D S I N C I C H M E T H O D