quartiles power point presentation

2. 4 PICS 1 WORD

3. M R E A U S E

4. P I T S I O O N

5. At the end of the session, the students
are expected to:
a. Discover the process of determining the
measure of position of a given set of ungrouped
data .
b. Illustrate the measure of position.
c. Share the importance of having
positioning/ranking in the academic performances
of the students.

6. GROUP ACTIVITY: Find Me!
A group of students obtained
the following scores in
Statistics quiz:
14, 10, 12, 9, 17, 5, 8,
9, 14, 10 and 11

7. PROCEDUR
E 1. Volunteer: Arrange the scores in ASCENDING
order.
2. GROUP 2: Identify the median score or the Q2.
3. GROUP 1: Identify the value between the middle
score and the lowest score or Q1.
4. GROUP3:Identify the value between the
middle score and the highest score or 𝑄3
.
.

8. GUIDE
QUESTIONS:
1.WHAT IS 𝑄1, 𝑄2, AND 𝑄3OF THEIR
SCORES?
2. HOW MANY STUDENTS BELONG
TO 𝑄1,
𝑄2, AND 𝑄3
IN TERMS OF THEIR
SCORES?
3.HAVE YOU REALIZE OF FINDING THE
POSITION OF THE SCORES?

9. 9
10
14
𝑄
1
𝑄
2
𝑄
3

10. QUARTILES
FOR
UNGROUPED
DATA

11. Quartile - are the score
points which divide a
distribution into four
equal parts.
Q1 Q2 Q3

12. Second Quartile (Q2) - is equal to the
median.
First Quartile (Q1) - is the 25% of the
distribution. Q1 is the value that is
between the least value and the middle
value.
Third quartile (Q3) - is the 75% of the
distribution. Q3 is the value that
is between the greatest value

13. Why do we have ranking on
our classroom?

14. Class rank - is a measure
of how a student's
performance compares to
other students in his or her
class.

15. Divide your class rank by the
number of students in your grade,
multiply by 100, then subtract that
number from 100. For example, if there are
60 students in your grade and you are ranked 12th,
then you are in the 8th percentile because
(120/600)*100=20, and 100-20=80. You are also in the
top 20% of your class

16. MEASURES OF POSITION
- ARE TECHNIQUES THAT
DIVIDE A SET OF DATA INTO
EQUAL GROUPS

17. THE DIFFERENT MEASURES
OF POSITION ARE:
•Q
U
A
R
T
I
L
E
S
•D
E
C
I
L
E
S
•P
E
R
C
E
N
T
I
L
E
S

18. 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. QUARTILE
S THE QUARTILES ARE THE SCORE
DIVIDE A
INTO FOUR
POINTS
WHICH
DISTRIBUTION
EQUAL PARTS

20. 𝑄
1
𝑄
2
𝑄
3
Lower
Quartile
Middle
Quartile
Upper
Quartile
25% 50% 75
%
100%

21. EXAMPLE:
THE SCORES OF 7 STUDENTS IN A
MATHEMATICS SEATWORK ARE:
7 , 4 , 3 , 6 , 7 , 4 , 8

22. 7 4 3 6 7 4 8
To find 𝑄1, 𝑄2and
𝑄3
𝑘
𝑄 𝑘 =
4
(
𝑛

23. Lower
Quartile
Middle
Quartile
Upper
Quartile
25% of the
score
s
50% of the 75% of the
scores is scores

24. FIND THE FIRST QUARTILE ( 𝑄1 ), SECOND
QUARTILE ( 𝑄2 ), AND THE THIRD QUARTILE
(𝑄3), GIVEN THE SCORES OF 10 STUDENTS IN
THEIR MATHEMATICS.
4 9 7
8 12 15 6 11
14 10

25. GENERALIZATION:
•When do we
apply measures of
position?

26. NDOY HAS AN A SSIGNMENT TO ASK
RANDOM 10
S
TUDENTS IN T
HOOL
ABOUT
THEIR
AGES.
E
ATA ARE
GIV
HEI
R
THE
ABL
E
N IN THE T
A
AT
SC
D
BE
LOW
.
NAME AGE
Ana 10
Ton
y
11
Dennis 12
Aira 13
Antonette 13
Christian 13
Susan 14
Lito 14
Michael 15
Gladys 15

27. 1. WHAT IS 𝑄1, 𝑄2, AND 𝑄3OF
THEIR AGES?
2. HOW MANY STUDENTS
BELONG TO 𝑄1, 𝑄2, AND
𝑄3 IN TERMS OF THEIR AGES?

28. ASSIGNMENT:
Answer Activity 8 “Aqua
Running” pg. 372
(to be written
on one

29. INTERPOLATION
WE NEED TO USE INTERPOLATION IF
THE VALUE OF THE POSITION IS IN DECIMAL
FORM

30. USING THE FORMULA
�
�
𝑄𝑘 =
4
(
𝑛+
k = position
ofthe quartile
n = total no. of
data

31. STEPS IN
INTERPOLATIO
N METHOD

32. FIND THE DIFFERENCE BETWEEN THE
TWO VALUES IN WHICH THE DECIMAL
FROM IS IN BETWEEN
MULTIPLY THE RESULT BY THE
DECIMAL PART OBTAINED
ADD THE RESULT IN STEP 2, TO
THE 2ND OR SMALLER NUMBER
1
2
3

33. NDOY HAS AN A SSIGNMENT TO ASK
RANDOM 10
S
TUDENTS IN T
HOOL
ABOUT
THEIR
AGES.
E
ATA ARE
GIV
HEI
R
THE
ABL
E
N IN THE T
A
AT
SC
D
BE
LOW
.
NAME AGE
Ana 10
Tony 11
Dennis 12
Aira 13
Antonette 13
Christian 13
Susan 14
Lito 14
Michael 15
Gladys 15