Last year over 8000 students took an entrance exam at a certain state university. Charmaine's score was at the 31st percentile. Henry's score was at the 15th percentile. (a) Which of the following must be true about Charmaine's score? Charmaine got about 31% of the questions correct. Charmaine's score was in the top half of all scores. Charmaine missed 69 questions. Charmaine scored lower than about 69% of the students who took the exam. (b) Which of the following must be true about Charmaine's and Henry's scores? Charmaine answered 16 more questions correctly than Henry. Henry answered 16 more questions correctly than Charmaine. Both Charmaine and Henry scored above the median. Both Charmaine and Henry scored below the median.
Added by Lisa F.
Close
Step 1
- The 31st percentile means Charmaine scored better than 31% of the students, and 69% scored better than her. - The 15th percentile means Henry scored better than 15% of the students, and 85% scored better than him. Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 91 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A private college advertised that last year their freshman students, on average, had a score of 1180 on the college entrance exam. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements are true, mark the appropriate box: - Last year, at least one of their freshman students had a score of at least 1180 on the exam. - Last year, the number of their freshman students who had a score of 1180 or below on the exam was equal to the number of their freshman students who had a score of 1180 or above on the exam. - Last year, all of their freshman students had a score of more than 950 on the exam. - Last year, at least one of their freshman students had a score of exactly 1180 on the exam. - Next year, some of their freshman students will have a score of at least 1180 on the exam. - None of the above statements are true.
Adi S.
In a study of 2005 Math SAT scores, the Educational Testing Service com- puted the average score for each of the 51 states, and the percentage of the high-school seniors in that state who took the test. (For these purposes, D.C. counts as a state.) The correlation between these two variables was equal to $-0.84$ . (a) True or false: test scores tend to be lower in the states where a higher percentage of the students take the test. If true, how do you explain this? If false, what accounts for the negative correlation? (b) In Connecticut, the average score was only $517 .$ But in lowa, the aver- age was 608 . Tue or false, and explaint the data show that on average, the schools in lowa are doing a better job at teaching math than the schools in Connecticut.
On the same test, Mary and Pam scored at the 64th and 56th percentiles, respectively. Which of the following is a true statement? A. Mary scored eight more points than Pam. B. Mary's score is 8% higher than Pam's. C. Eight percent of those who took the test scored between Pam and Mary. D. Thirty-six people scored higher than both Mary and Pam. E. None of the above.
Jason H.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
400,000+
Students learning Statistics & Probability with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
