(a) Which of the following must be true about Deshaun's score? Deshaun scored higher than about 68% of the students who took the exam. O About 68% of the students who took the exam scored higher than Deshaun. O Deshaun got about 32% of the questions correct. O Deshaun got about 32% of the questions wrong. (b) Which of the following must be true about Deshaun's and Susan's scores? O Susan scored higher than Deshaun. O Both Deshaun and Susan scored higher than the median. O Susan got 34 more questions correct than Deshaun. O Deshaun's and Susan's scores were both in the bottom half of all scores.

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
Question
100%
**Educational Website Content: Entrance Exam Analysis**

Last year, over 7000 students took an entrance exam at a certain state university. Deshaun's score was at the 32nd percentile, while Susan's score was at the 66th percentile.

**Question (a): Which of the following must be true about Deshaun's score?**

- Deshaun scored higher than about 68% of the students who took the exam.
- About 68% of the students who took the exam scored higher than Deshaun.
- Deshaun got about 32% of the questions correct.
- Deshaun got about 32% of the questions wrong.

The correct answer is: **About 68% of the students who took the exam scored higher than Deshaun.**

**Question (b): Which of the following must be true about Deshaun's and Susan's scores?**

- Susan scored higher than Deshaun.
- Both Deshaun and Susan scored higher than the median.
- Susan got 34 more questions correct than Deshaun.
- Deshaun’s and Susan’s scores were both in the bottom half of all scores.

The correct answer is: **Susan scored higher than Deshaun.**

**Explanation:**

- **Percentile Definition:** In the context of this exam, the percentile indicates the percentage of students whose scores fall below a particular score.
  
  - Deshaun's 32nd percentile ranking means he scored better than 32% of the students, but 68% scored higher than him.
  
  - Susan's 66th percentile ranking means she scored better than 66% of the students, which is higher than Deshaun's performance.
  
- **Ranking Insights:** Understanding percentiles helps in determining relative performance in comparison to peers.

For accurate interpretation, focus on the percentile position rather than assumptions about correct questions or other specific numerical outcomes. This context helps educators and students understand statistical performance metrics better.
Transcribed Image Text:**Educational Website Content: Entrance Exam Analysis** Last year, over 7000 students took an entrance exam at a certain state university. Deshaun's score was at the 32nd percentile, while Susan's score was at the 66th percentile. **Question (a): Which of the following must be true about Deshaun's score?** - Deshaun scored higher than about 68% of the students who took the exam. - About 68% of the students who took the exam scored higher than Deshaun. - Deshaun got about 32% of the questions correct. - Deshaun got about 32% of the questions wrong. The correct answer is: **About 68% of the students who took the exam scored higher than Deshaun.** **Question (b): Which of the following must be true about Deshaun's and Susan's scores?** - Susan scored higher than Deshaun. - Both Deshaun and Susan scored higher than the median. - Susan got 34 more questions correct than Deshaun. - Deshaun’s and Susan’s scores were both in the bottom half of all scores. The correct answer is: **Susan scored higher than Deshaun.** **Explanation:** - **Percentile Definition:** In the context of this exam, the percentile indicates the percentage of students whose scores fall below a particular score. - Deshaun's 32nd percentile ranking means he scored better than 32% of the students, but 68% scored higher than him. - Susan's 66th percentile ranking means she scored better than 66% of the students, which is higher than Deshaun's performance. - **Ranking Insights:** Understanding percentiles helps in determining relative performance in comparison to peers. For accurate interpretation, focus on the percentile position rather than assumptions about correct questions or other specific numerical outcomes. This context helps educators and students understand statistical performance metrics better.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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