Box Plots: Differences Between Boys and Girls

Open

Lucía

02/03/2023

Maths

Box plot (Representation of data)

Subjects

Maths

Statistics

Representing data

Box Plots: Differences Between Boys and Girls

A comprehensive guide to analyzing and representing data through box plots, focusing on cómo calcular el rango intercuartil y la media de datos and identifying statistical patterns. The material covers practical examples of representación de datos y detección de valores atípicos, including analysis of diferencias entre machos y hembras basadas en gráficos de caja.

Detailed exploration of box plot construction and interpretation
Analysis of real-world data sets including student test scores and turtle mass measurements
Step-by-step calculation of quartiles, medians, and outliers
Practical applications in comparing distributions between different groups
Mathematical methods for identifying statistical outliers using interquartile ranges

02/03/2023

r
Lucia Tormo
Ex 3B (Q1-4)
1. A group of students did a test. The summary date is shown in
the table.
Lowest value Lower quartile Medion upp

Page 2: Comparative Analysis Using Box Plots

This page demonstrates advanced applications of box plots through comparison of male and female turtle masses, showcasing how box plots can be used for population comparison.

Example: The turtle mass comparison clearly shows sexual dimorphism, with male turtles having generally higher masses than females.

Highlight: The analysis demonstrates how to use box plots to make predictions about population membership, as shown in determining the likely sex of a 330g turtle.

Definition: The interquartile range $IQR$ represents the middle 50% of the data and is calculated as Q3 - Q1.

View

Page 3: Outlier Detection and Advanced Box Plot Features

This page covers the technical aspects of identifying outliers and creating comprehensive box plots with all statistical features.

Definition: An outlier is defined as a value that lies beyond 1.5 times the interquartile range above Q3 or below Q1.

Example: The calculation demonstrates how values 46 and 78 are determined to be outliers using the 1.5 × IQR rule.

Highlight: The final box plot incorporates all elements including outliers, providing a complete visual representation of the data distribution.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

21 M

Pupils love Knowunity

#1

In education app charts in 17 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Statistics

Representing data

Maths

•

306

•

2 Mar 2023

•

3 pages

Box Plots: Differences Between Boys and Girls

Lucía

@luttior

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Comparative Analysis Using Box Plots

This page demonstrates advanced applications of box plots through comparison of male and female turtle masses, showcasing how box plots can be used for population comparison.

Example: The turtle mass comparison clearly shows sexual dimorphism, with male turtles having generally higher masses than females.

Highlight: The analysis demonstrates how to use box plots to make predictions about population membership, as shown in determining the likely sex of a 330g turtle.

Definition: The interquartile range $IQR$ represents the middle 50% of the data and is calculated as Q3 - Q1.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Outlier Detection and Advanced Box Plot Features

This page covers the technical aspects of identifying outliers and creating comprehensive box plots with all statistical features.

Definition: An outlier is defined as a value that lies beyond 1.5 times the interquartile range above Q3 or below Q1.

Example: The calculation demonstrates how values 46 and 78 are determined to be outliers using the 1.5 × IQR rule.

Highlight: The final box plot incorporates all elements including outliers, providing a complete visual representation of the data distribution.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Box Plot Construction and Basic Statistics

This page introduces fundamental concepts of box plot construction and statistical analysis through practical examples. Students learn to interpret and create box plots from summary statistics and analyze examination data.

Definition: A box plot is a standardized way of displaying the distribution of data based on five numbers: minimum, first quartile, median, third quartile, and maximum.

Example: The first exercise presents student test scores with values ranging from 28 to 72, demonstrating how to construct a box plot from given quartile data.

Highlight: The examination marks analysis shows how to calculate key statistical measures including the interquartile range $47-32=15$ and total range $76-12=64$ .

Vocabulary: Quartiles divide data into four equal parts, with the median representing the middle value of the dataset.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Box Plots: Differences Between Boys and Girls

Page 2: Comparative Analysis Using Box Plots

Page 3: Outlier Detection and Advanced Box Plot Features

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

21 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Box Plots: Differences Between Boys and Girls

Sign up to see the contentIt's free!

Page 2: Comparative Analysis Using Box Plots

Sign up to see the contentIt's free!

Page 3: Outlier Detection and Advanced Box Plot Features

Sign up to see the contentIt's free!

Page 1: Box Plot Construction and Basic Statistics

Similar content

maths higher calculator

national 5 apps 2023 paper 2 marked example past paper

Cumulative frequency notes

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

4.8/5