/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.13 For the following 11聽salaries, ... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.13 (page 89)

For the following 11salaries, calculate the IQR and determine if any salaries are outliers. The salaries are in

dollars.
role="math" localid="1647875427889" \(33,000;\)64,500;\(28,000;\)54,000;\(72,000;\)68,500;\(69,000;\)42,000;\(54,000;\)120,000;$40,500

Short Answer

Expert verified
We can tell whether or not there is an outlier in the data using the IQR.
We call 120000an outlier since it falls outside of the IQR's acceptable range.

Step by step solution

01

Given

Here we have salaries$33,000;$64,500;$28,000;$54,000;$72,000;$68,500;$69,000;$42,000;$54,000;$120,000;$40,500

02

Explanation

The IQR of the 11salaries and which salaries is the outlier.

We get Q1=40500;Q3=69000;

IQR=Q3-Q1=28500

1.5*鈭�QR=42750

So a observation will called outlier if it less than lower limit of Q1-1.5*鈭�QR=-2250

And beyond Q3+1.5*lQR=111750So, only one observation is beyond highest limit which is $120000. Hence this is outlier.

The rule of thumb for obtaining IQRQ3-Q1=28500. The IQR was used to identify data outliers.
To define outlier, we evaluated bottom and upper boundaries. After taking into account the intervals, we get at 120000, which is above the top limit.

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.

Over 30 million students worldwide already upgrade their learning with 魅影直播!

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

a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?

b. The 40th percentile of speeds in a particular race is7.5 miles per hour. Write a sentence interpreting the 40th percentile in the context of the situation.

David County has six high schools. Each school sent students to participate in a county-wide science competition. Table 2.41shows the percentage breakdown of competitors from each school, and the percentage of the entire student population of the county that goes to each school. Construct a bar graph that shows the population percentage of competitors from each school.

Construct a times series graph for

(a) the number of male births,

(b) the number of female births, and

(c) the total number of births.

2.42What is the difference between relative frequency and frequency for each data value in Table 2?

Construct a frequency polygon for the following:

a.

b.

c.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

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.