Call Now to Set Up Tutoring:

(888) 888-0446

AP Statistics : How to find the interquartile range for a set of data

Study concepts, example questions & explanations for AP Statistics

Create An Account

All AP Statistics Resources

4 Diagnostic Tests 140 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Interquartile Range For A Set Of Data

Find the interquartile range for the following data set:

$\small 5, 5, 5, 6, 8, 9, 11, 11, 15, 16, 18, 22, 25, 25, 26$

Possible Answers:

$\small 16$

$\small 11$

$\small 22$

$\small 21$

Correct answer:

$\small 16$

Explanation:

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 11.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

$\small 5, 5, 5, 6, 8, 9, 11$ the median is 6

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

$\small 15, 16, 18, 22, 25, 25, 26$ the median is 22.

The interquartile range is just Q3 - Q1, in this case $\small 22 - 6 = 16$

Report an Error

Example Question #12 : Univariate Data Descriptors

Find the interquartile range for the following data set:

$\small \small 1, 2, 5, 7, 7, 9, 15, 15, 15, 22, 23, 24, 26$

Possible Answers:

$\small 25$

$\small 22.5$

$\small 17$

$\small 16.5$

Correct answer:

$\small 16.5$

Explanation:

To find the interquartile range, first find the median. This will split the data set into the upper and lower halves. The median for this data set is 15.

Focusing on the lower half, we can find the median, which is the first quartile, Q1:

$\small 1, 2, 5, 7, 7, 9$ the median is 6, found by taking the mean of the middle two numbers 5 and 7.

Focusing on the upper half, we can find the median, which is the third quartile, Q3:

$\small 15, 15, 22, 23, 24, 26$ the median is 22.5, found by taking the mean of the middle two numbers 22 and 23.

The interquartile range is just Q3 - Q1, in this case $\small \small 22.5 - 6 = 16.5$

Report an Error

Example Question #1 : How To Find The Interquartile Range For A Set Of Data

Find the Interquartile Range (IQR) for the following data.

7, 5, 2, 4, 3, 1, 6

Q1 = 2, Q3 = 6

IQR = Q3 - Q1 = 4

Possible Answers:

2.5

Correct answer:

Explanation:

The Interquartile Range equation is Q3-Q1

First, make sure the data is in ascending order. Then split the data up so that it each quartile has 25% of the data, or think of it as splitting the data into 4 equal parts.

$Q_{1}$ is the "middle" value in the first half of the rank-ordered data set.
$Q_{2}$ is the median value in the overall set.
$Q_{3}$ is the "middle" value in the second half of the rank-ordered data set.

$Q_{1}=2$

$Q_{2}=4$

$Q_{3}=6$

$Q_{3}-Q_{1}= 6-2=4$

Report an Error

View AP Statistics Tutors

Crony
Certified Tutor

Brown University, Bachelor of Science, Neuroscience.

View AP Statistics Tutors

Regan
Certified Tutor

Wayne State College, Bachelor in Arts, Psychology.

View AP Statistics Tutors

Pavan
Certified Tutor

University of Connecticut, Bachelor in Arts, Statistics.

All AP Statistics Resources

4 Diagnostic Tests 140 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Philadelphia, Math Tutors in Boston, English Tutors in Houston, Physics Tutors in Phoenix, Statistics Tutors in Dallas Fort Worth, GMAT Tutors in Seattle, GRE Tutors in Denver, MCAT Tutors in San Diego, Statistics Tutors in Philadelphia, French Tutors in Washington DC

Popular Courses & Classes

Spanish Courses & Classes in Los Angeles, ISEE Courses & Classes in Miami, LSAT Courses & Classes in Phoenix, Spanish Courses & Classes in New York City, ISEE Courses & Classes in Atlanta, GMAT Courses & Classes in Washington DC, LSAT Courses & Classes in San Diego, SAT Courses & Classes in Chicago, LSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in Houston, LSAT Test Prep in Denver, SAT Test Prep in New York City, LSAT Test Prep in Phoenix, SSAT Test Prep in Seattle, MCAT Test Prep in San Diego, MCAT Test Prep in Chicago, SAT Test Prep in Denver, GRE Test Prep in Phoenix, ACT Test Prep in Dallas Fort Worth

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

AP Statistics : How to find the interquartile range for a set of data

Study concepts, example questions & explanations for AP Statistics

All AP Statistics Resources

Example Questions

Example Question #1 : How To Find The Interquartile Range For A Set Of Data

Example Question #12 : Univariate Data Descriptors

Example Question #1 : How To Find The Interquartile Range For A Set Of Data

All AP Statistics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: