Hogwarts Electives - The following scenario is fictional and is based on the Harry Potter books and movies. All third-year students at Hogwarts must take at least one elective subject. The most popular three elective subjects are Care of Magical Creatures (COMC), Ancient Runes, and Divination. Using historical data, we have determined the number of students enrolled in these three subjects from Gryffindor, Ravenclaw, Hufflepuff, and Slytherin houses during their third year at Hogwarts over the past 50 years. The (fictional) data is summarized in the two mosaic plots below. House Elective Gindor Hulpu Ravenclw Sytherin COMC Runes Divinaton Use the mosaic plots to answer the following questions: 1. Which house has the most students? Hufflepuff v 2. Which elective subject has the most students? COMC

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Help me with all of them please. 

**Educational Exercise on Data Interpretation**

This educational module focuses on interpreting data related to student enrollment in various houses and elective subjects. Below are the questions and available options for each, followed by a targeted question about the relationship between elective subjects and houses based on provided mosaic plots.

**Questions:**

3. **Among the 4 houses, which has the highest proportion of Runes students?**
   - Answer options: 
     - **Dropdown Menu Selection**: Griffindor

4. **Among the 3 elective subjects, which has the lowest proportion of students in the Ravenclaw house?**
   - Answer options: 
     - **Dropdown Menu Selection**: Runes

5. **Based on these mosaic plots, does there appear to be a relationship between the elective subject and house? Select Yes or No and a reason for your choice.**
   - Answer options:
     - **Dropdown Menu Selection**: 
       - Yes
     - **Justification:**
       - Students can take more than one elective subject, so the data is not reliable.
       - The proportion of students in each elective course across houses is nearly the same.
       - The proportion of students in each elective course across houses is clearly different.

**Graphs/Diagrams:**

The provided questions reference mosaic plots, which are typically rectangular graphical representations that display the relationship between categorical variables. Each section in the mosaic plot represents the proportion of data points for a combination of categories. For example, in this case, the mosaic plots could illustrate the distribution of students across different houses and elective subjects. Larger sections indicate a higher proportion of students for that specific combination, while smaller sections indicate fewer students. 

Note: You can earn 8 additional points for submitting all three answers correctly.

---

The questions are designed to enhance data interpretation skills by understanding the distribution and relationships within categorical data, as visualized through mosaic plots.
Transcribed Image Text:**Educational Exercise on Data Interpretation** This educational module focuses on interpreting data related to student enrollment in various houses and elective subjects. Below are the questions and available options for each, followed by a targeted question about the relationship between elective subjects and houses based on provided mosaic plots. **Questions:** 3. **Among the 4 houses, which has the highest proportion of Runes students?** - Answer options: - **Dropdown Menu Selection**: Griffindor 4. **Among the 3 elective subjects, which has the lowest proportion of students in the Ravenclaw house?** - Answer options: - **Dropdown Menu Selection**: Runes 5. **Based on these mosaic plots, does there appear to be a relationship between the elective subject and house? Select Yes or No and a reason for your choice.** - Answer options: - **Dropdown Menu Selection**: - Yes - **Justification:** - Students can take more than one elective subject, so the data is not reliable. - The proportion of students in each elective course across houses is nearly the same. - The proportion of students in each elective course across houses is clearly different. **Graphs/Diagrams:** The provided questions reference mosaic plots, which are typically rectangular graphical representations that display the relationship between categorical variables. Each section in the mosaic plot represents the proportion of data points for a combination of categories. For example, in this case, the mosaic plots could illustrate the distribution of students across different houses and elective subjects. Larger sections indicate a higher proportion of students for that specific combination, while smaller sections indicate fewer students. Note: You can earn 8 additional points for submitting all three answers correctly. --- The questions are designed to enhance data interpretation skills by understanding the distribution and relationships within categorical data, as visualized through mosaic plots.
### Hogwarts Electives

*The following scenario is fictional and is based on the **Harry Potter** books and movies.*

---

All third-year students at Hogwarts must take at least one elective subject. The most popular three elective subjects are Care of Magical Creatures (CoMC), Ancient Runes, and Divination. Using historical data, we have determined the number of students enrolled in these three subjects from Gryffindor, Ravenclaw, Hufflepuff, and Slytherin houses during their third year at Hogwarts over the past 50 years. The (fictional) data is summarized in the two mosaic plots below.

![Mosaic Plots](image_link)

#### Explanation of Mosaic Plots

The mosaic plots visualize the distribution of students by house and elective subjects:
1. **Left Mosaic Plot**:
    - **X-axis** represents the four Hogwarts houses: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin.
    - **Y-axis** represents the three elective subjects: CoMC, Runes, and Divination.
    - Each segment's area is proportional to the number of students in that category.
2. **Right Mosaic Plot**:
   - **X-axis** represents the three elective subjects: CoMC, Runes, and Divination.
   - **Y-axis** represents the four Hogwarts houses: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin.
   - Each segment's area is proportional to the number of students in that category.

#### Questions

Use the mosaic plots to answer the following questions:

1. **Which house has the most students?**
   - **Hufflepuff**

2. **Which elective subject has the most students?**
   - **CoMC**
Transcribed Image Text:### Hogwarts Electives *The following scenario is fictional and is based on the **Harry Potter** books and movies.* --- All third-year students at Hogwarts must take at least one elective subject. The most popular three elective subjects are Care of Magical Creatures (CoMC), Ancient Runes, and Divination. Using historical data, we have determined the number of students enrolled in these three subjects from Gryffindor, Ravenclaw, Hufflepuff, and Slytherin houses during their third year at Hogwarts over the past 50 years. The (fictional) data is summarized in the two mosaic plots below. ![Mosaic Plots](image_link) #### Explanation of Mosaic Plots The mosaic plots visualize the distribution of students by house and elective subjects: 1. **Left Mosaic Plot**: - **X-axis** represents the four Hogwarts houses: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin. - **Y-axis** represents the three elective subjects: CoMC, Runes, and Divination. - Each segment's area is proportional to the number of students in that category. 2. **Right Mosaic Plot**: - **X-axis** represents the three elective subjects: CoMC, Runes, and Divination. - **Y-axis** represents the four Hogwarts houses: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin. - Each segment's area is proportional to the number of students in that category. #### Questions Use the mosaic plots to answer the following questions: 1. **Which house has the most students?** - **Hufflepuff** 2. **Which elective subject has the most students?** - **CoMC**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman