Log out Go to App
Go to App

Learning Materials

Features

Discover

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).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that shorter times are better in this case!)

Normal highway driving? The dot plot shows the EPA highway gas mileage estimates in miles per gallon (mpg) for a random sample of 21 the model year 2018 midsize cars.11 Explain why this distribution of highway gas mileage is not approximately Normal.

Two measures of center are marked on the density curve shown. Which of the following is correct?

a. The median is at the yellow line and the mean is at the red line.

b. The median is at the red line and the mean is at the yellow line.

c. The mode is at the red line and the median is at the yellow line.

d. The mode is at the yellow line and the median is at the red line.

e. The mode is at the red line and the mean is at the yellow line.

Batter up! Refer to Exercise 48Use the 68–95–99.7rule to answer the following questions.

a. About what percent of Major League Baseball players with 100 plate appearances had batting averages of 0.363or higher? Show your method clearly.

b. A player with a batting average of 0.227 is at about what percentile in this distribution? Justify your answer.

IQ test scores Scores on the Wechsler Adult Intelligence Scale (an IQ test) for the 20- to 34-year-old age group are approximately Normally distributed with μ=110 and σ=25 .

a. What percent of people aged 20 to 34 have IQs between 125 and 150?

b. MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual aged 20 to 34 have to earn to qualify for MENSA membership?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free