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Chapter 4: Problem 42

Suppose that your younger sister is applying for entrance to college and has taken the SATs. She scored at the 83 rd percentile on the verbal section of the test and at the 94 th percentile on the math section of the test. Because you have been studying statistics, she asks you for an interpretation of these values. What would you tell her?

Short Answer

Expert verified
Your younger sister scored higher than or equal to 83% of the test takers in the verbal section and 94% of the test takers in the math section of the SATs.

Step by step solution

01

Understand Percentiles

A percentile is a statistical measure that indicates what percentage of the scored data that a particular value below or at it occurs. When it's said that a score is at the nth percentile, it means that it scores higher than n% of the scores.
02

Interpret Verbal Score

First, let's interpret the verbal score. If your younger sister scored at the 83rd percentile on the verbal section of the test, it means that she scored higher than or equal to 83% of the test takers in the verbal section.
03

Interpret Math Score

Next, let's interpret the math score. If she scored at the 94th percentile on the math section, that means she scores higher than or equal to 94% of the test takers in the math section.

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Most popular questions from this chapter

Suppose that your statistics professor returned your first midterm exam with only a \(z\) score written on it. She also told you that a histogram of the scores was approximately normal. How would you interpret each of the following \(z\) scores? a. \(2.2\) d. \(1.0\) b. \(0.4\) e. 0 c. \(1.8\)

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