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Chapter 2: Q 1.1. (page 89)

Multiple choice: Select the best answer. Mark receives a score report detailing his performance on a statewide test. On the math section, Mark earned a raw score of 39, which placed him at the 68th percentile. This means that

(a) Mark did better than about 39% of the students who took the test.

(b) Mark did worse than about 39% of the students who took the test.

(c) Mark did better than about 68%of the students who took the test.

(d) Mark did worse than about 68% of the students who took the test.

(e) Mark got fewer than half of the questions correct on this test.

Short Answer

Expert verified

The correct option is (c).

Step by step solution

01

Step 1. Given

Mark has received his test score report, which details his performance. Marks received a raw score of 39, putting him in the 68th percentile.

02

Step 2. Concept

The pth percentile of a distribution is the value with p percent of the observations less than it.

03

Step 3. Explanation 

Percentiles are used to determine the percentage of values that fall below a specific data value. In this case, Mark's position reveals that 68%of the students scored lower than Mark. As a result, the correct option is (c).

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