Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 2.1 (page 488)

The five-number summary for a data set is given by min = 5, Q1=18, median = 20, Q3=40, max = 75. If you wanted to construct a boxplot for the data set that would show outliers, if any existed, what would be the maximum possible length of the right-side “whisker”?

a. 33

b. 35

c. 45

d. 53

e. 55

Short Answer

Expert verified

(a) The maximum possible length of the right-side whisker is 33

Step by step solution

01

Given Information

Consider that min.=5,Q1=18,median=20,Q3=40,max.=75

The following concept was used:

IQR=Q3−Q1

For the scribes.

Q1−1.5IQR,Q3+1.5IQR

02

Explanation for correct option

Consider that,

IQR=Q3−Q1=40−18=22Q1−1.5IQR,Q3+1.5IQR=18−1.522,40+1.522=−15,73

The whisker lengths on a box plot can only be a maximum of 33

An outlier is anything that falls outside of the range.

03

Explanation for incorrect option

Option B the maximum possible length of the right-side “whisker” will not be 35

Option C the maximum possible length of the right-side “whisker” will not be 45

Option D the maximum possible length of the right-side “whisker” will not be 53

Option E the maximum possible length of the right-side “whisker” will not be 55

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

Even more tall girls, Refer to Exercises 12and 14. Suppose that the sample mean height of the twenty 16-year-old females is x=65.8inches. Would this sample mean provide convincing evidence that the average height of all 16-year-old females at this school is greater than 64inches? Explain your reasoning.

refer to the following graph. Here is a dotplot of the adult literacy rates in 177 countries in a recent year, according to the United Nations. For example, the lowest literacy rate was 23.6 %, in the African country of Burkina Faso. Mali had the next lowest literacy rate at 24.0 %.

The overall shape of this distribution is

a. clearly skewed to the right.

b. clearly skewed to the left.

c. roughly symmetric.

d. uniform.

e. There is no clear shape.

When people order books from a popular online source, they are shipped in boxes.

Suppose that the mean weight of the boxes is 1.5 pounds with a standard deviation of 0.3 pound, the mean weight of the packing material is 0.5 pound with a standard deviation of 0.1 pound, and the mean weight of the books shipped is 12 pounds with a standard deviation of 3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?

a. 1.84

b. 2.60

c. 3.02

d. 3.40

e. 9.10

The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is 50\( and the standard deviation is 20\). The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. 11 A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x-x¯be the mean amount paid.

a. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds 55 .\(

b. What are the mean and standard deviation of the sampling distribution of x-x¯?

c. What is the shape of the sampling distribution of x-x¯? Justify your answer.

d. Find the probability that the average fee paid by the sample of households exceeds 55 .\)

Bias and variability The figure shows approximate sampling distributions of 4different

statistics intended to estimate the same parameter.




a. Which statistics are unbiased estimators? Justify your answer.

b. Which statistic does the best job of estimating the parameter? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Pure Maths

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