Quartile for Ungrouped Data

1. OF UNGROUPED DATA
THE
QUARTILES

2. 92 76 92 90 78
73 85 95 75 85
74 78 76 69 82
92 76 92 90 78
73 85 95 75 85
74 78 76 79 82
75 85 94 75 85
76 78 75 69 82
GRADES OF 40 STUDENTS IN MATH
What is my
performance?

3. COVID-19 CASES OF NCR
What is Valenzuela’s
standing ?

4. Country Titles
Angola 1
Argentina 4
Australia 7
Austria 2
Bermuda 1
Bosnia and Herzegovina 1
Botswana 1
Brazil 6
Canada 3
Chile 2
China 2
Colombia 5
Costa Rica 2
Czech Republic 2
Denmark 1
Dominican Republic 2
Ecuador 3
Egypt 1
England 1
Finland 4
France 4
Country Titles
Germany 4
Gibraltar 1
Greece 3
Grenada 1
Guam 1
Guatemala 1
Honduras 1
Iceland 4
India 9
Indonesia 1
Ireland 1
Israel 2
Jamaica 4
Japan 3
Kenya 1
Lebanon 2
Mexico 6
Namibia 1
Netherlands 4
New Zealand 2
Country Titles
Nigeria 1
Norway 3
Panama 2
Peru 3
Philippines 15
Poland 4
Portugal 1
Puerto Rico 10
Russia 3
South Africa 6
Spain 5
Sweden 6
Thailand 3
Trinidad and Tobago 3
Turkey 1
United Kingdom 6
United States 15
Venezuela 23
Vietnam 1
Yugoslavia 1
A
S
O
F
2
0
2
0
COUNTRIES WITH TITLES IN THE BIG LEAGUE PAGEANTS
Miss World, Miss Universe, Miss International, and Miss Earth.

5. Country Titles
Nigeria 1
Norway 3
Panama 2
Peru 3
Philippines 15
Poland 4
Portugal 1
Puerto Rico 10
Russia 3
South Africa 6
Spain 5
Sweden 6
Thailand 3
Trinidad and Tobago 3
Turkey 1
United Kingdom 6
United States 15
Venezuela 23
Vietnam 1
Yugoslavia 1
A
S
O
F
2
0
2
0
COUNTRIES WITH TITLES IN THE BIG LEAGUE PAGEANTS
Miss World, Miss Universe, Miss International, and Miss Earth.
How many countries
did the Philippines
outrank?

7. Quartile
Decile
Percentile

8. D i v i d e t h e
d i s t r i b u t i o n
i n t o 4 e q u a l
p a r t s .
QUARTILES
DEFINITION FORMULA
RULE
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
Arrange in
ascending
order.
NOTE
After solving
for 𝐐𝐤,
determine
the term
needed.

9. tekhnologic
SPIN

10. Divide the
distribution
into 4 equal
parts.
QUARTILES
DEFINITION FORMULA
RULE
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
Arrange in
ascending
order.
NOTE
After solving
for 𝐐𝐤,
determine
the term
needed.

11. tekhnologic
SPIN

12. Divide the
distribution
into 4 equal
parts.
QUARTILES
DEFINITION FORMULA
RULE
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
Arrange in
ascending
order.
NOTE
After solving
for 𝐐𝐤,
determine
the term
needed.

13. 77 80 83 85 89 90 95
25% 25% 25% 25%
Q1 Q2 Q3
80 77 90 95 83 85 89
Q4

14. QUARTILES
DEFINITION FORMULA
RULE
Divides the
data into 4
equal
parts.
𝐐𝐤 =
𝐤
𝟒
𝐧 + 𝟏
where k=1,2,or 3
Arrange in
ascending
order.
NOTE
T h e r e s u l t i n g
v a l u e w i l l
g i v e u s t h e
p o s i t i o n t h a t
w e n e e d .

16. COMPUTE FOR
Q1, Q2, and Q3.
INTERPRET THE
RESULT
DETERMINE THE NO.
OF CROWNS NEEDED
TO BE ON THE 1ST ,
2ND, & 3RD QUARTILE

17. 23 15 15 10 9 7 7 6 6 6 6
Compute for the Q1, Q2, And Q3
FORMULA:
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
6 6 6 6 7 7 9 10 15 15 23
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐟𝐨𝐫 𝐐𝟏.
𝐐𝟏 =
𝟏
𝟒
(𝐧 + 𝟏)
𝐐𝟏 =
𝟏
𝟒
(𝟏𝟏 + 𝟏)
𝐧 = 𝟏𝟏
𝐐𝟏 =
𝟏
𝟒
(𝟏𝟐) = 𝟑
𝐫𝐝
Since 6 is on the 1st Quartile, this
means that a country with 6 crowns is
above 25% but below the other 75%.
𝐐𝟏 =
𝟏
𝟒
(𝐧 + 𝟏)
𝐐𝟏 =
𝟏
𝟒
(𝐧 + 𝟏)
𝐐𝟏 =
𝟏
𝟒
(𝟏𝟏 + 𝟏)
𝐐𝟏 =
𝟏
𝟒
(𝐧 + 𝟏)

18. Compute for the Q1, Q2, And Q3
FORMULA:
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐟𝐨𝐫 𝐐𝟐.
𝐐𝟐 =
𝟐
𝟒
(𝐧 + 𝟏)
𝐐𝟐 =
𝟏
𝟐
(𝟏𝟏 + 𝟏)
𝐐𝟐 =
𝟏
𝟐
(𝟏𝟐) = 𝟔
𝒕𝒉
Since 7 is on the 2nd Quartile, this
means that a country with 7 crowns is
above 50% and below the other 50%.
6 6 6 6 7 7 9 10 15 15 23
𝐧 = 𝟏𝟏

19. Compute for the Q1, Q2, And Q3
FORMULA:
𝐐𝐤 =
𝐤
𝟒
(𝐧 + 𝟏)
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐟𝐨𝐫 𝐐𝟑.
𝐐𝟑 =
𝟑
𝟒
(𝟏𝟏 + 𝟏)
𝐐𝟑 =
𝟑
𝟒
𝟏𝟐
𝐐𝟑 =
𝟑𝟔
𝟒
= 𝟗
𝒕𝒉
Since 15 is on the 3nd Quartile, this
means that a country with 15 crowns is
above 75% and below 25%.
6 6 6 6 7 7 9 10 15 15 23
𝐧 = 𝟏𝟏

20. Is there a country, that
is very familiar to you,
that is on the 3rd
Quartile? What would
that mean?

21. 1. WHAT IS A
QUARTILE?
Quartile divides the data
into 4 equal parts.
LET’S SUM IT UP !!

22. 2. QUARTILE GIVES
US HOW MANY
PERCENT FOR EACH
PART?
25%
LET’S SUM IT UP !!

23. 3. WHAT DOES Q1,
Q2, AND Q3 MEAN?
Q1= Above 25%, Below 75%
Q2= Above 50%, Below 50%
Q3= Above 75%, Below 25%
LET’S SUM IT UP !!

24. 4. WHY DONT WE
NEED TO SOLVE
FOR Q4?
It is just the maximum
or highest score.
LET’S SUM IT UP !!

25. COUNT
R
IE
S CAS
E
S
United S
tates 33,238,422
India 26,031,991
B
razil 15,894,094
Franc
e 5,841,129
Turkey 5,160,423
R
ussia 4,983,845
United Kingdom 4,457,923
Italy 4,178,261
S
pain 3,636,453
Germany 3,602,939
Argentina 3,446,981
C
olombia 3,177,212
Poland 2,863,031
Iran 2,815,822
Mexic
o 2,390,140
Ukraine 2,175,382
Peru 1,910,360
Indonesia 1,758,898
C
zec
h R
epublic 1,656,874
S
outh Afric
a 1,625,003
Netherlands 1,619,648
TOP 41 COUNTRIES
COUNT
R
IE
S CAS
E
S
C
anada 1,350,088
C
hile 1,315,913
Philippines 1,171,403
Iraq 1,160,494
R
omania 1,074,781
S
weden 1,058,341
B
elgium 1,041,706
Pakistan 893,461
Portugal 844,288
Israel 839,290
Hungary 801,025
B
angladesh 786,437
Jordan 726,432
S
erbia 709,269
Japan 704,159
S
witzerland 687,353
Austria 640,293
United Arab E
mirates
552,920
L
ebanon 537,887
Moroc
c
o 516,091
COVID 19 CASES- AS OF MAY 2020
Determine which
countries fall on the
Q1,Q2, and Q3, then
interpret the result.
Try it !
GOOGLE
FORM

26. Given: GWAS OF ELEVEN STUDENTS
1.01 1.25 1.39 1.76 1.90 2.12
2.53 2.71 3.00 3.33 3.71
1.What quartile is the value 1.39?
2.What quartile is the value 2.12?
3.What quartile is the value 3.00?

27. tekhnologic
SPIN

28. USING
MATH
REASONING
Presentations are communication
tools that can be used as
demonstrations.
PROBLEM SOLVING
Presentations are communication
tools that can be used as
demonstrations.
CALCULATING
Presentations are communication
tools that can be used as
demonstrations.

30. USING
MATH
REASONING
Presentations are communication
tools that can be used as
demonstrations.
PROBLEM SOLVING
Presentations are communication
tools that can be used as
demonstrations.
CALCULATING
Presentations are communication
tools that can be used as
demonstrations.
REFERENCES:
h t t p s : / / e n . w i k i p e d i a . o r g / w i k i / B i g _ F o
u r _ i n t e r n a t i o n a l _ b e a u t y _ p a g e a n t s
h t t p s : / / w w w . s t a t i s t a . c o m / c h a r t / 2 3 7 1
8 / c o u n t r i e s - w i t h - m o s t - b i g - f o u r -
b e a u t y - p a g e a n t - t i t l e s /
h t t p s : / / e n . w i k i p e d i a . o r g / w i k i / C O V I D -
1 9 _ p a n d e m i c _ b y _ c o u n t r y _ a n d _ t e r r i t o r
y
h t t p : / / v e r y y o u n g l e a r n e r s . c o m / f r e e -
p o w e r p o i n t - s p i n n e r - s p i n n i n g - w h e e l -
t e m p l a t e /