**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
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