1. A total of 3820 students write a university entrance examination. Bartley earns a score of 934 marks out of a possible 1200 marks. There are 2988 students who score lower than 934. There are 45 students, including Bartley, who score 934.   A) Find Bartley’s percentile rank. B) In order to be considered for the university, Bartley needs to score in the top 25% of people writing the exam.  Is Bartley’s score high enough for him to be considered for acceptance to the university?     2. The examination results of 5000 students are analyzed and the following percentiles are calculated:   P10 = 30 P40 = 45 P50 = 60 P80 = 81   A) Approximately what percentage of students scored 45 or less?   B) What is the median mark for this exam? C) Approximately, how many students scored more than 81?     3. Lorenzo scores 88% on a recent test but his percentile rank on the test is 40.   A) What does this tell you about the success rate of the other students in the class?   B) What reasons could cause test results like this?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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1. A total of 3820 students write a university entrance examination. Bartley earns a score of 934 marks out of a possible 1200 marks. There are 2988 students who score lower than 934. There are 45 students, including Bartley, who score 934.

 

A) Find Bartley’s percentile rank.

B) In order to be considered for the university, Bartley needs to score in the top 25% of people writing the exam.  Is Bartley’s score high enough for him to be considered for acceptance to the university?

 

 

2. The examination results of 5000 students are analyzed and the following percentiles are calculated:

 

P10 = 30 P40 = 45 P50 = 60 P80 = 81

 

A) Approximately what percentage of students scored 45 or less?  

B) What is the median mark for this exam?

C) Approximately, how many students scored more than 81?

 

 

3. Lorenzo scores 88% on a recent test but his percentile rank on the test is 40.

 

A) What does this tell you about the success rate of the other students in the class?

 

B) What reasons could cause test results like this?

 

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