**Educational Material: Understanding UGPA Distribution** The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be modeled using a normal distribution, as illustrated in the accompanying figure. ### Statistical Questions: 1. **Minimum UGPA for Top 5% Placement:** - What is the minimum UGPA needed to position a student within the top 5% of UGPAs? 2. **UGPA Range for Middle 50%:** - Between what two values does the middle 50% of the UGPAs lie? ### Answers: - (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is \[\_\_\_\_\]. - **(Round to two decimal places as needed.)** - (b) The middle 50% of UGPAs lies between \[\_\_\_\_\] on the low end and \[\_\_\_\_\] on the high end. - **(Round to two decimal places as needed.)** ### Graphical Representation: - **Normal Distribution Diagram:** - The graph showcases a bell-shaped curve typical of normal distribution, with a peak indicating the mean UGPA. - The horizontal axis represents the Grade Point Average (GPA). - Notable points marked on the curve include: - \( p = 3.38 \) - \( \sigma = 0.13 \) This representation helps visualize how UGPAs are distributed among students, providing insight into percentile rankings and variability in student performance.
**Educational Material: Understanding UGPA Distribution** The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be modeled using a normal distribution, as illustrated in the accompanying figure. ### Statistical Questions: 1. **Minimum UGPA for Top 5% Placement:** - What is the minimum UGPA needed to position a student within the top 5% of UGPAs? 2. **UGPA Range for Middle 50%:** - Between what two values does the middle 50% of the UGPAs lie? ### Answers: - (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is \[\_\_\_\_\]. - **(Round to two decimal places as needed.)** - (b) The middle 50% of UGPAs lies between \[\_\_\_\_\] on the low end and \[\_\_\_\_\] on the high end. - **(Round to two decimal places as needed.)** ### Graphical Representation: - **Normal Distribution Diagram:** - The graph showcases a bell-shaped curve typical of normal distribution, with a peak indicating the mean UGPA. - The horizontal axis represents the Grade Point Average (GPA). - Notable points marked on the curve include: - \( p = 3.38 \) - \( \sigma = 0.13 \) This representation helps visualize how UGPAs are distributed among students, providing insight into percentile rankings and variability in student performance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Educational Material: Understanding UGPA Distribution**
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be modeled using a normal distribution, as illustrated in the accompanying figure.
### Statistical Questions:
1. **Minimum UGPA for Top 5% Placement:**
- What is the minimum UGPA needed to position a student within the top 5% of UGPAs?
2. **UGPA Range for Middle 50%:**
- Between what two values does the middle 50% of the UGPAs lie?
### Answers:
- (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is \[\_\_\_\_\].
- **(Round to two decimal places as needed.)**
- (b) The middle 50% of UGPAs lies between \[\_\_\_\_\] on the low end and \[\_\_\_\_\] on the high end.
- **(Round to two decimal places as needed.)**
### Graphical Representation:
- **Normal Distribution Diagram:**
- The graph showcases a bell-shaped curve typical of normal distribution, with a peak indicating the mean UGPA.
- The horizontal axis represents the Grade Point Average (GPA).
- Notable points marked on the curve include:
- \( p = 3.38 \)
- \( \sigma = 0.13 \)
This representation helps visualize how UGPAs are distributed among students, providing insight into percentile rankings and variability in student performance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7eace22-cd3b-4738-9cc0-ae8710830b21%2Fa401f002-73d0-4c94-a51c-efe01c269ef7%2Fgna76gd.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Material: Understanding UGPA Distribution**
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be modeled using a normal distribution, as illustrated in the accompanying figure.
### Statistical Questions:
1. **Minimum UGPA for Top 5% Placement:**
- What is the minimum UGPA needed to position a student within the top 5% of UGPAs?
2. **UGPA Range for Middle 50%:**
- Between what two values does the middle 50% of the UGPAs lie?
### Answers:
- (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is \[\_\_\_\_\].
- **(Round to two decimal places as needed.)**
- (b) The middle 50% of UGPAs lies between \[\_\_\_\_\] on the low end and \[\_\_\_\_\] on the high end.
- **(Round to two decimal places as needed.)**
### Graphical Representation:
- **Normal Distribution Diagram:**
- The graph showcases a bell-shaped curve typical of normal distribution, with a peak indicating the mean UGPA.
- The horizontal axis represents the Grade Point Average (GPA).
- Notable points marked on the curve include:
- \( p = 3.38 \)
- \( \sigma = 0.13 \)
This representation helps visualize how UGPAs are distributed among students, providing insight into percentile rankings and variability in student performance.
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