Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q 33. (page 109)

Jorge’s score on Exam 1in his statistics class was at the 64th percentile of the scores for all students. His score falls

(a) between the minimum and the first quartile.

(b) between the first quartile and the median.

(c) between the median and the third quartile.

(d) between the third quartile and the maximum.

(e) at the mean score for all students.

Short Answer

Expert verified

The correct option is (c).

Step by step solution

01

Step 1. Given

J’s score on Exam 1in his statistics class was at the64th percentile of the scores for all students.

02

Step 2. Concept

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

03

Step 3. Explanation

The 25th percentile is represented by the first quartile, the median by the 50th percentile, and the 75th percentile by the third quartile. J's score was in the 64th percentile. Between the median (50th percentile) and the third quartile is this (75th percentile). Therefore, Option (c) is the best answer.

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

Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990swas 470and the standard deviation was 110. In 2009, the mean was 515and the standard deviation was 116 .
T2.10. Jane took the SAT in 1994and scored 500. Her sister Colleen took the SAT in 2009and scored 530. Who did better on the exam, and how can you tell?
(a) Colleen-she scored 30 points higher than Jane.
(b) Colleen-her standardized score is higher than Jane's.
(c) Jane-her standardized score is higher than Colleen's.
(d) Jane-the standard deviation was bigger in 2009.
(e) The two sisters did equally well-their z-scores are the same.

Comparing bone density Refer to the previous exercise. One of Judy’s friends, Mary, has the bone density in her hip measured using DEXA. Mary is 35 years old. Her bone density is also reported as 948g/cm2, but her standardized score isz=0.50. The mean bone density in the hip for the reference population of 35-year-old women is 944grams/cm2.

(a) Whose bones are healthier—Judy’s or Mary’s? Justify your answer.

(b) Calculate the standard deviation of the bone density in Mary’s reference population. How does

this compare with your answer to Exercise 13(b)? Are you surprised?

Runners’ heart rates The figure below is a Normal probability plot of the heart rates of 200male runners after six minutes of exercise on a treadmill.14The distribution is close to Normal. How can you see this? Describe the nature of the small deviations from Normality that are visible in the plot.

R2.8 Working backward

(a) Find the number zat the 80th percentile of a standard Normal distribution.

(b) Find the number localid="1649404103275" zsuch that localid="1649404108890" 35%of all observations from a standard Normal distribution are greater than localid="1649404115271" z.

- Use Table A to find the percentile of a value from any Normal distribution and the value that corresponds to a given percentile.

Now mark the approximate location of the mean. Explain why the mean and median have the relationship that they do in this case.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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