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@Deyse SJ de Assis - Lisboa, Portugal

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Mathematics EN 9th grade: Boxplot Analysis & Grouped Quartiles

What to analyze?

Median → center of the data

Interquartile range (IQR) → central dispersion

Symmetry:

Centered median → symmetric distribution.

Shifted median → asymmetry.

📌 Identification of outliers.

Values far from the quartiles may be considered extreme.

Quartiles for Grouped Data

When data is in classes (intervals), quartiles are estimated using cumulative frequencies.

👉 Idea:

Find the position of the quartile.

Identify the corresponding class.

Interpolate within the interval.

📌 General steps:

1) Calculate the total frequency.

2) Determine the position of the quartile:

$ Q1 \rightarrow \frac{n}{4} $

$ Q2 \rightarrow \frac{n}{2} $

$ Q3 \rightarrow \frac{3n}{4} $

3) Use the cumulative frequency to locate the class

4) Interpolate to obtain the approximate value

Did you know?

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Those who liked Boxplot Analysis & Grouped Quartiles, also liked to explore MATHEMATICS EN 9TH GRADE

What is it?
It's a graph that represents the distribution of a data set using 5 main values:
Minimum value
Q1 (1st quartile)
Median (Q2)
Q3 (3rd quartile)
Maximum value
👉 Quickly shows dispersion, symmetry, and possible outliers (extreme values).
📌 How to interpret
The box represents the values between Q1 and Q3 (50% of the data)
The line..know more

Word that replaces or accompan - About PORTUGUESE EN 9TH GRADE

Explore more about Word that replaces or accompanies a noun, avoiding repetition and indicating person, possession, quantity, or relation.
Ex.: ele, aquele, meu, ninguém.
Subclasses de pronomes
Pronome pessoal
Refers to the persons in speech: 1ª, 2ª ou 3ª pessoa.
- Formas tónicas: used alone or for emphasis (mim, ti, ele, nós).
- Formas átonas: used attached to the verb (me, te, se, o, a, nos, vos).
Pronome pessoal em adjacência verbal
- Ênclise: after the verb (amar-me-ás).
- Próclise: before the verb (me amarás).
- Mesóclise: in the middle of the verb, used with future tense (amar-me-ás).
Contração de pronomes pessoais
Personal pronouns (pronomes pessoais) can combine with direct (direto) and indirect (indireto) objects into a single form.
me + o = mo / nos + o = no=lo / vos + o = vo-lo
te + o = to / lhe + o = lho / lhes + o = lho
Ex.: Dei um telemóvel à minha irmã.
complemento direto + complemento indireto
Dei-o à minha irmã
Dei-lhe um telemóvel
Dei-lho
Pronome pessoal “se”
It can perform different syntactic functions or refer to certain phrasal structures.
- se reflexo: complemento direto (Ela penteia-se)
- se recíproco: complemento indireto (Eles abraçam-se)
- se impessoal: sujeito indeterminado (Diz-se que está a ficar cego)
- se passivo: partícula apassivante (Vendem-se maçãs.)
Pronome demonstrativo
Indicates position or reference: este, essa, aquele, isto, isso, aquilo.
Pronome possessivo
Indicates possession: meu, teu, seu, nossa, vossos.
Pronome indefinido
Indicates vague quantity or identity: alguém, ninguém, tudo, algum, certo.
Pronome relativo
Links clauses and refers back to a previous term: que, quem, cujo, onde...

Word that replaces or accompanies a noun, avoiding repetition and indicating person, possession, quantity, or relation.
Ex.: ele, aquele, meu, ninguém.
Subclasses de pronomes
Pronome pessoal
Refers to the persons in speech: 1ª, 2ª ou 3ª pessoa.
- Formas tónicas: used alone or for emphasis (mim, ti, ele, nós).
- Formas átonas: used attached to the verb (me,..know more

The Rubik's Cube, created by H - About MATH

The Rubik's Cube, created by Hungarian architect and architecture professor Ernő Rubik in 1974, has become one of the world's most popular puzzles and a true cultural icon. Originally invented by Rubik as a teaching tool to teach his students about geometry and spatial transformations, it quickly became a worldwide challenge.
The 3x3x3 cube, the best-known version, has around 43 quintillion possible..know more

December 15th Zamenhof day, in - About PORTUGUESE LANGUAGE

Explore more about December 15th Zamenhof day, in honor of Ludwig Zamenhof, the creator of Esperanto born in 1859. Ludwig Zamenhof was a Polish doctor and linguist, born in a multicultural region of Poland, where various ethnicities and languages coexisted, but also often conflicted. Noting linguistic and cultural barriers, Zamenhof envisioned a neutral, easy-to-learn language that could serve as a universal second language, promoting peace and facilitating global communication. In 1887, he launched the first Esperanto grammar, which quickly gained followers and spread across Europe and other continents. Esperanto is a planned language, with a regular grammatical structure and vocabulary inspired by several European languages. He believed that by adopting a common, neutral language, people could overcome cultural differences and come together...

December 15th Zamenhof day, in honor of Ludwig Zamenhof, the creator of Esperanto born in 1859. Ludwig Zamenhof was a Polish doctor and linguist, born in a multicultural region of Poland, where various ethnicities and languages coexisted, but also often conflicted. Noting linguistic and cultural barriers, Zamenhof envisioned a neutral, easy-to-learn language that could serve as a universal..know more

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Those who liked Boxplot Analysis & Grouped Quartiles, also liked to explore ELITE PLAYERS 2026

Explore more about The 2026 World Cup could bring together some of the most experienced players in football history. Many of them have already played in multiple editions and may still be present — either as key stars or leaders on the field.
Here are 5 veterans who could be there:
🇵🇹 Cristiano Ronaldo
🏆 World Cups played: 5 (2006, 2010, 2014, 2018, 2022)
📊 Historic record: scored in all 5 editions
🔮 Expectation for 2026:
Could become the first player in history to play 6 World Cups
Would be around 41 years old
Likely to play more as a finisher and leader
👉 Quick summary: depends on his physical condition, but he has already proven he’s exceptional.
🇦🇷 Lionel Messi
🏆 World Cups played: 5 (2006, 2010, 2014, 2018, 2022)
🥇 Highlight: World Cup winner in 2022
🔮 Expectation for 2026:
Could match Ronaldo with 6 appearances
Would be around 39 years old
May take a more creative and strategic role
👉 Quick summary: it all depends on motivation — quality is never the issue.
🇧🇷 Neymar
🏆 World Cups played: 3 (2014, 2018, 2022)
⚽ Highlight: one of Brazil’s top scorers ever
🔮 Expectation for 2026:
Could reach his 4th World Cup
Age: around 34
Still could be Brazil’s main star
👉 Quick summary: talent is not the problem — staying fit is the challenge.
🏴 Harry Kane
🏆 World Cups played: 2 (2018, 2022)
⚽ Highlight: top scorer of the 2018 World Cup
🔮 Expectation for 2026:
Should still be at or near his peak (32–33)
Remains England’s main attacking reference
👉 Quick summary: probably the most consistent player on this list.
🇭🇷 Luka Modrić
🏆 World Cups played: 4 (2006, 2014, 2018, 2022)
🥈 Highlight: runner-up in 2018
🔮 Expectation for 2026:
Could reach his 5th World Cup
Would be around 40 years old
Role likely focused on leadership and experience
👉 Quick summary: unlikely, but not impossible...

The 2026 World Cup could bring together some of the most experienced players in football history. Many of them have already played in multiple editions and may still be present — either as key stars or leaders on the field.
Here are 5 veterans who could be there:
🇵🇹 Cristiano Ronaldo
🏆 World Cups played: 5 (2006, 2010, 2014, 2018, 2022)
📊 Historic record: scored in all..know more

In 1950, Brazil was hosting th - About WORLD CUP

Explore more about In 1950, Brazil was hosting the World Cup and everything seemed perfect:
The country had a very strong team
They were playing at home
The Maracanã stadium was packed with around 200,000 people
👉 There was no final like today — it was a final group stage.
The last match was practically a “final”:
Brazil vs Uruguay
What did Brazil need?
Very simple:
✔️ Draw = Brazil champion
✔️ Win = Brazil champion
In other words… Brazil was almost guaranteed the trophy.
What happened in the match?
Brazil started well and scored 1–0
The crowd celebrated
But Uruguay reacted:
👉 Equalized: 1–1
👉 Then took the lead: 2–1 with a goal by Alcides Ghiggia

The shock
When Uruguay scored the second goal:
The stadium fell completely silent
People cried
It was considered one of the saddest moments in Brazilian football
The hero
The main name was Alcides Ghiggia
He scored the winning goal and said a famous phrase:
“Only three people silenced the Maracanã: the Pope, Frank Sinatra, and me.”
Why was it so remarkable?
Brazil was the absolute favorite
They were playing at home
They only needed a draw
A packed stadium was waiting for the celebration
👉 That’s why it is called: “Maracanazo”
(meaning “the blow of the Maracanã”)..

In 1950, Brazil was hosting the World Cup and everything seemed perfect:
The country had a very strong team
They were playing at home
The Maracanã stadium was packed with around 200,000 people
👉 There was no final like today — it was a final group stage.
The last match was practically a “final”:
Brazil vs Uruguay
What did Brazil need?
Very simple:
✔️..know more

Frase ativa e frase passiva ✔ - About PORTUGUESE EN 9TH GRADE

Explore more about Frase ativa e frase passiva
✔ Frase ativa: the subject performs the action.
Ex.: O João leu o livro.
✔ Frase passiva: the subject receives the action.
Ex.: O livro foi lido pelo João.
👉 Tip:
Sujeito da ativa → agent (passive)
CD da ativa → subject (passive)
Discurso direto e indireto
✔ Discurso direto: exact words are reproduced.
Ex.: Ele disse: “Vou estudar.”
✔ Discurso indireto: the idea is reported with changes.
Ex.: Ele disse que ia estudar.
👉 Common changes:
verb tenses
pronouns
adverbs (hoje → naquele dia)
Discurso direto e indireto
Valor aspetual
✔ Aspeto perfeito: completed action.
Ex.: Ele fez o trabalho.
✔ Aspeto imperfeito: ongoing/habitual action.
Ex.: Ele fazia o trabalho.
Valor modal (modalidade)
Shows the speaker’s attitude.
✔ Modalidade epistémica (certeza/probabilidade):
certeza: Ele está em casa.
probabilidade: Ele deve estar em casa.
possibilidade: Ele pode estar em casa.
✔ Modalidade deôntica (regras):
permissão: Podes sair.
obrigação: Tens de estudar.
✔ Modalidade apreciativa (opinião/juízo):
Ex.: Felizmente, passaste. / Infelizmente, choveu.
Quick summary
Ativa: subject does
Passiva: subject receives
Direto: exact speech
Indireto: reported speech
Aspeto: completed vs ongoing
Modalidade: certainty, obligation or opinion..

Frase ativa e frase passiva
✔ Frase ativa: the subject performs the action.
Ex.: O João leu o livro.
✔ Frase passiva: the subject receives the action.
Ex.: O livro foi lido pelo João.
👉 Tip:
Sujeito da ativa → agent (passive)
CD da ativa → subject (passive)
Discurso direto e indireto
✔ Discurso direto: exact words are reproduced.
Ex.:..know more

Love is not just a feeling; it - About SECRETS OF LOVE

Explore more about Love is not just a feeling; it has a chemical basis in the brain. The most famous hormone associated with love is oxytocin, often called the “love hormone.” It is released during closeness, hugging, affection, and intimacy, strengthening emotional bonds and creating feelings of trust and attachment.
But how long does it take for the brain to fall in love? Studies show that intense attraction can begin in just a few minutes, with immediate physical and emotional responses, while deep, lasting attachment develops over weeks or months, as oxytocin, dopamine, and serotonin interact.
Speaking of dopamine, love activates the same areas of the brain as substances like cocaine and other stimulants. This explains why being in love creates euphoria, energy, and intense focus on the loved one, similar to the chemical effects of dopamine-releasing drugs — proving that passion is literally pure chemistry.
In short, love combines hormones, neurotransmitters, and brain reactions that make the emotional experience tangible and measurable, showing how deeply our hearts and brains are connected when it comes to passion and bonding...

Love is not just a feeling; it has a chemical basis in the brain. The most famous hormone associated with love is oxytocin, often called the “love hormone.” It is released during closeness, hugging, affection, and intimacy, strengthening emotional bonds and creating feelings of trust and attachment.
But how long does it take for the brain to fall in love? Studies show that intense attraction can..know more

Who was Stanislav Petrov? Stan - About CONTEMPORARY AGE

Explore more about Who was Stanislav Petrov?
Stanislav Yevgrafovich Petrov was an officer in the Soviet Air Force, born in 1939 in the former Soviet Union. He was neither a politician nor a high-ranking military leader. He was an engineer trained to analyze nuclear early-warning systems, an ordinary man within an extremely dangerous Cold War machine.
What was his real position?
Petrov was not a general. In 1983, he held the rank of lieutenant colonel and was on duty at a satellite monitoring center. His role was to interpret data and report possible nuclear attacks, not to make global strategic decisions.
Why do people say he saved the world?
In the early hours of September 26, 1983, the Soviet system indicated that U.S. nuclear missiles were on their way. Instead of automatically following protocol, Petrov questioned the alert and classified the event as a system error. This decision prevented a possible nuclear retaliation and, consequently, a global war.
Was he a hero?
Technically, yes — but officially, no. Petrov prevented a catastrophe but was not recognized, since acknowledging his correctness would have meant exposing serious flaws in the Soviet defense system.
What happened to him afterward?
After leaving the military, Petrov lived anonymously, facing difficulties and without public recognition...

Who was Stanislav Petrov?
Stanislav Yevgrafovich Petrov was an officer in the Soviet Air Force, born in 1939 in the former Soviet Union. He was neither a politician nor a high-ranking military leader. He was an engineer trained to analyze nuclear early-warning systems, an ordinary man within an extremely dangerous Cold War machine.
What was his real position?
Petrov was..know more

Did you know that platforms al - About UNIVERSE OF AI

Explore more about Did you know that platforms already exist where artificial intelligences talk only to each other, with no human participation?
One example that recently went viral is Moltbook, described as a “Reddit for AIs.” On it, bots create posts, comment, reply, and vote on each other in a fully autonomous way. There are no human users writing — only observing.
What intrigued the internet wasn’t just the idea, but the emergent behavior:
Some AIs begin to agree, disagree, or reinforce the opinions of others
Certain “writing styles” start to repeat, as if personalities existed
Long discussions emerge with no clear practical goal
This sparked heated debates on Medium and beyond:
Can AI develop something similar to social behavior?
Are they merely imitating human language, or creating their own dynamics?
Is this real intelligence, or just sophisticated statistics that look like conversation?
The biggest curiosity is that, even without consciousness, these interactions show how systems trained on human language end up reproducing social patterns such as debate, consensus, and even conflict.
In the end, Moltbook became a strange mirror:
it doesn’t show AIs thinking like humans,
but humans realizing how deeply their own patterns are encoded in data...

Did you know that platforms already exist where artificial intelligences talk only to each other, with no human participation?
One example that recently went viral is Moltbook, described as a “Reddit for AIs.” On it, bots create posts, comment, reply, and vote on each other in a fully autonomous way. There are no human users writing — only observing.
What intrigued the internet wasn’t just..know more

Points within a game Each game - About COURT TENNIS

Explore more about Points within a game
Each game starts at 0, called “Love”.
The scoring goes: 0 → 15 → 30 → 40 → game.
If both players reach 40, it is called Deuce.
To win the game from Deuce, you need to win 2 consecutive points.
Games within a set
A set is won by the player who wins 6 games with at least a 2-game advantage.
Examples:
6-3 → normal win
6-5 → not yet won, needs 7-5
6-6 → goes to tie-break
Tie-break
Simple scoring: 1, 2, 3…
The player who reaches 7 points with at least a 2-point advantage wins.
It is usually used to decide the set when the score is 6-6.
Sets and match
Best of 3 sets → wins by taking 2 sets.
Best of 5 sets → wins by taking 3 sets (like in Grand Slams).
Summary
Points → Games → Sets → Match
A minimum advantage is always required to win a game, set, or tie-break...

Points within a game
Each game starts at 0, called “Love”.
The scoring goes: 0 → 15 → 30 → 40 → game.
If both players reach 40, it is called Deuce.
To win the game from Deuce, you need to win 2 consecutive points.
Games within a set
A set is won by the player who wins 6 games with at least a 2-game advantage.
Examples:
6-3 → normal win
6-5..know more

Origin of the Sphinx The Great - About ANCIENT AGE

Explore more about Origin of the Sphinx
The Great Sphinx of Giza, located near the pyramids of Khufu, Khafre, and Menkaure, is one of the oldest and most iconic sculptures in Egypt.
It is believed to have been built during the reign of Pharaoh Khafre (c. 2500 B.C.).
It has the body of a lion and the head of a human, possibly representing the pharaoh himself or a protective deity.

Original purpose
The purpose of the Sphinx is still debated among historians, but the main theories include:

Spiritual guardian of the pyramids: Protected the pharaohs’ funerary complex, symbolizing strength and vigilance.

Representation of power and divinity: The human-lion mix symbolized the pharaoh’s wisdom and strength.

Connection to sun worship: The Sphinx was aligned with the sunrise during certain times of the year, suggesting religious solar connections.

The Sphinx is carved from a single block of limestone, about 73 meters long and 20 meters high.
Its face has human features, but erosion over thousands of years has sparked debates about whom it exactly represents...

Origin of the Sphinx
The Great Sphinx of Giza, located near the pyramids of Khufu, Khafre, and Menkaure, is one of the oldest and most iconic sculptures in Egypt.
It is believed to have been built during the reign of Pharaoh Khafre (c. 2500 B.C.).
It has the body of a lion and the head of a human, possibly representing the pharaoh himself or a protective deity.
Original..know more

Esther and Ruth: courage and f - About BIBLE ADVENTURES
Esther and Ruth: courage and faith
Esther and Ruth are examples of women who played central roles in the Bible, demonstrating courage, faith, and determination:
Esther became queen of Persia and risked her life to save the Jewish people from destruction (Book of Esther). Her story is an example of boldness, strategy, and faith in God, inspiring celebrations such as Purim.
Ruth,..know more

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Those who liked Boxplot Analysis & Grouped Quartiles, also liked to explore PORTUGAL
Lisbon is not just built above ground. Over more than two thousand years, different civilizations have constructed underground structures that remain hidden to this day.
Origin of the tunnels
Romans: drainage galleries, aqueducts, and sewers.
Islamic period: passages used for escape and supply.
Middle Ages: corridors under convents, churches, and palaces.
Purpose
Escape..know more

Virginia Hall (1906–1982) was - About HISTORY
Virginia Hall (1906–1982) was an American agent during World War II who defied every stereotype. A woman, a foreigner, and with a prosthetic leg — which she nicknamed “Cuthbert” — she embodied everything the Nazis underestimated. Even so, she became the most dangerous agent in occupied France.
Who she was
• American, former diplomatic service candidate
• Lost part of her leg in an accident
•..know more

1. A universe built by players - About HARRY POTTER
1. A universe built by players
Since 2006, Roblox has allowed anyone to create and play unique worlds. Thousands of games are made by the community, from epic adventures to wacky simulations.
2. A billion-dollar community
Some creators have earned millions from their games, turning fun into a business. Roblox’s economy is real and very active.
3. Engaging events
Constant..know more

Eleven was almost a boy In the - About STRANGER THINGS
Eleven was almost a boy
In the early drafts by the Duffer Brothers, the main character was written as a different gender. By changing Eleven into a girl, the series gained a stronger emotional layer: apparent fragility versus extreme power, as well as themes of motherhood, friendship, and identity.
The Upside Down came before the story
Unlike the usual process, the creators..know more

In the center of Lisbon, in Ro - About PORTUGAL
In the center of Lisbon, in Rossio Square, stands a column crowned by a statue attributed to Dom Pedro IV. At first glance, it appears to be a clear symbol of Portuguese liberalism. However, the story behind the sculpture is more curious than it seems.
Origin of the statue
Inaugurated in 1874
Officially dedicated to Dom Pedro IV
Cast in bronze and placed atop a tall column
The..know more

The Apocalypse Many viewers sp - About STRANGER THINGS
The Apocalypse
Many viewers spend the series trying to discover the virus’s origin, but Robert Kirkman, the creator, made it clear: it doesn’t matter. The focus is on humans — how people behave when society disappears, when there are no laws, comfort, or security. The virus is just a catalyst that reveals who people really are.
The Infection
The famous reveal that anyone..know more

Juan Pujol García (1912–1988), - About HISTORY
Juan Pujol García (1912–1988), codename Garbo, was the spy who fooled Hitler on his own. He created a fictional network of 27 agents that never existed, sending detailed reports with deliberately human errors. His cunning changed the course of the war.
Who he was
• Spanish, ordinary childhood
• Initially uninterested in politics
• Offered his services to the British and then deceived..know more

The Pico Paraná, at 1,877 mete - About TOURISM
The Pico Paraná, at 1,877 meters, is the highest point in southern Brazil and is located in the Serra do Mar, between the municipalities of Antonina and Campina Grande do Sul, in Paraná. Its geological formation dates back to the Precambrian period, millions of years ago, when tectonic uplift and erosion processes formed its igneous and granitic rocks. The name “Paraná” comes from the Tupi language..know more

The Rossio Statue Although eve - About PORTUGAL
$Explore more about The Rossio Statue Although everyone believes the statue represents D. Pedro IV, there is a myth that it was repurposed from another historical figure. To prevent anyone from noticing, it was placed at the top of the column, out of public view. This shows how urban legends can arise from seemingly small historical details. Lisbon Some buildings in the city date back to before 1143, the official founding year of Portugal. They survived earthquakes, invasions, and changes of government over centuries. This reveals the incredible resilience and historical richness of the Portuguese capital. There Are Secret Tunnels Under Lisbon Underground passages connect old convents, palaces, and military areas. Many of these routes are closed or have never been fully mapped. They served both for escape and logistics, showing a mysterious side of the city. Portugal Once Banned Carnival During certain conservative periods, Carnival was seen as a threat to public order. The festivities were officially banned in some regions. This shows how even popular traditions can become targets of political control. The “Gold of Brazil” Much of Brazil’s gold was sent to England, and only a fraction remained in Portugal, showing the complexity of the colonial economy...$
The Rossio Statue
Although everyone believes the statue represents D. Pedro IV, there is a myth that it was repurposed from another historical figure.
To prevent anyone from noticing, it was placed at the top of the column, out of public view.
This shows how urban legends can arise from seemingly small historical details.
Lisbon
Some buildings in the city date..know more

Beer Was Safer Than Water In t - About BEERS
Beer Was Safer Than Water
In the Middle Ages, water was often contaminated, while boiling beer wort killed bacteria.
Children and adults drank “small beer” daily as a safe and nutritious beverage.
This shows how beer was an essential part of the diet and public health at the time.
The Monks
During Lent, monks brewed strong and nutritious beers.
The drink..know more
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