Each year, about 1.5million college-bound high school juniors take the PSAT. In a recent year, the mean score on the Critical Reading test was 46.9and the standard deviation was 10.9Nationally, 5.2% of test-takers earned a score of 65 or higher on the Critical Reading test’s 20 to 80 scale. 9

PSAT scores How well did the boys at Scott’s school perform on the PSAT? Give appropriate evidence to support your answer.

Short Answer

Expert verified

Here, 5.2% of the test takers nationally scored 65 or higher, yet about 32% scored 65 or higher at S's school.

Step by step solution

01

Step 1. Given 

The PSAT is taken by approximately 1.5million college-bound high school juniors each year. The mean score on the Critical Reading test was 46.9 last year, with a standard deviation of 10.9 On the Critical Reading test's 20 to 80 range, 5.2% of test takers received a score of 65 or higher.

02

Step 2. Concept

The formula used: z=xmeanstandarddeviation

03

Step 3. Explanation

The test is taken by 1.5 million college-bound high school juniors. 46.9% is the average score.

10.9 standard deviation. A score of 65 was achieved by 5.2% of test-takers. S's school's boys fared exceptionally well on the PSAT. S's score was higher than his contemporaries at school when compared to the national group. Only 5.2% of test-takers nationwide received a score of 65 or higher, whereas, at S's school, roughly 32% received a score of 65 or higher.

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