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OF UNGROUPED DATA
THE
QUARTILES
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?
COVID-19 CASES OF NCR
What is Valenzuela’s
standing ?
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.
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?
Quartile
Decile
Percentile
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.
tekhnologic
SPIN
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.
tekhnologic
SPIN
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.
77 80 83 85 89 90 95
25% 25% 25% 25%
Q1 Q2 Q3
80 77 90 95 83 85 89
Q4
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 .
COMPUTE FOR
Q1, Q2, and Q3.
INTERPRET THE
RESULT
DETERMINE THE NO.
OF CROWNS NEEDED
TO BE ON THE 1ST ,
2ND, & 3RD QUARTILE
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)
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
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
Is there a country, that
is very familiar to you,
that is on the 3rd
Quartile? What would
that mean?
1. WHAT IS A
QUARTILE?
Quartile divides the data
into 4 equal parts.
LET’S SUM IT UP !!
2. QUARTILE GIVES
US HOW MANY
PERCENT FOR EACH
PART?
25%
LET’S SUM IT UP !!
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 !!
4. WHY DONT WE
NEED TO SOLVE
FOR Q4?
It is just the maximum
or highest score.
LET’S SUM IT UP !!
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
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?
tekhnologic
SPIN
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.
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 /

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Quartiles for Ungrouped

  • 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?
  • 6.
  • 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.
  • 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.
  • 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 .
  • 15.
  • 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?
  • 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.
  • 29.
  • 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 /

Editor's Notes

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