Under each boxplot, write a comment about the presence or absence of any outliers (for example, there are __number of outliers or there are no outliers in the ________data)
Under each boxplot, write a comment about the presence or absence of any outliers (for example, there are __number of outliers or there are no outliers in the ________data)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Under each boxplot, write a comment about the presence or absence of any outliers (for example, there are __number of outliers or there are no outliers in the ________data)
Transcribed Image Text:The image contains two boxplots:
1. **Boxplot of Students Predicted GPA:**
- **Title:** Boxplot of Students Predicted GPA
- **Y-Axis:** Predicted GPA
- **Range:** Approximately 2.4 to 3.1
- **Median:** Around 2.65
- **Interquartile Range (IQR):** The box extends from about 2.55 to 2.85
- **Whiskers:** Extend slightly to cover the range from approximately 2.4 to 3.0
- **Outliers:** There is an evident outlier above the third quartile around 2.95.
2. **Boxplot of Students College GPA:**
- **Title:** Boxplot of Students College GPA
- **Y-Axis:** College GPA
- **Range:** Approximately 2.0 to 3.6
- **Median:** Around 2.8
- **Interquartile Range (IQR):** The box extends from about 2.65 to 3.1
- **Whiskers:** Extend to cover a wider range from approximately 2.2 to 3.5
- **Outliers:** No clear outliers are noted beyond the whiskers.
### Interpretation:
Boxplots are utilized to depict the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. They are especially useful for identifying outliers. In this comparison:
- The **Predicted GPA** tends to be slightly lower than the actual **College GPA** as seen in the boxplots.
- There is more variability in the actual **College GPA** data, indicated by a wider interquartile range and longer whiskers, suggesting greater spread in student performance.
- The predicted data may have used a model or historical data to forecast student performance, which showed a tighter range of prediction outcomes with a single identified outlier.
Expert Solution
Step 1: Determine the given data in the question
The two boxplots of students' predicted GPAs and students' college GPAs are given below.
To identify whether the outliers are present in the boxplot.
Step by step
Solved in 3 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Discuss any outliers in the data . What criteria did you use to identify outliers?
Solution
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