We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Understanding Quartiles and Percentiles

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Percentiles For A Data Set

The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?

Possible Answers:

Correct answer:

Explanation:

The interquartile range of a set of scores is the difference between the third and first quartile - that is, the difference between the 75th and 25th percentiles. The 75th percentile is between 78 and 86, so, if 41 is subtracted from those numbers, the upper and lower bounds of the 25th percentile can be found.

$P_{70} < P_{75} < P_{80}$

$P_{70}- IR < P_{75} - IR < P_{80}- IR$

$P_{70}- IR < P_{25} < P_{80}- IR$

$78- 41 < P_{25} < 86- 41$

$37 < P_{25} < 45$

Of our choices, only 40 falls in this range.

Report an Error

Example Question #1 : How To Identify Independent Events

What is the probability of getting a sum of $5,\; 6,\; or\; 7$ when rolling two six-sided fair dice?

Possible Answers:

$\frac{5}{12}$

$\frac{4}{9}$

$\frac{1}{2}$

$\frac{7}{12}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{12}$

Explanation:

The sample space, or total possible outcomes, when rolling two six-sided dice is .

Ways to get what you want:

$5: 1,4\;\; \; 2,3\; \; \; 3,2\; \; \; 4,1$

$6: 1,5\; \; \; 2,4\; \; \; 3,3\; \; 4,2\; \; \; 5,1$

$7: 1,6\; \; \; 2,5\; \; \; 3,4\; \; \; 4,3\; \; \; 5,2\; \; \; 6,1$

So there are ways to get a $5,6,or\; 7$ .

So the probability becomes $\frac{15}{36}=\frac{5}{12}$

Report an Error

Example Question #1 : Understanding Quartiles And Percentiles

$Q_{2}$ is the median of the overall data set. $Q_{1}$ is the median of the lower half of the data set. $Q_{3}$ is the median of the upper half of the data set.

Find the interquartile range $\left ( Q_{3}-Q_{1}\right)$ for the following data set:

$23,\; 45,\; 32,\; 29,\; 37,\; 47,\; 21,\; 36,\; 52$

Possible Answers:

Correct answer:

Explanation:

First, put the data set in order from smallest to largest:

$21,\; 23,\; 29,\; 32,\; 36,\; 37,\; 45,\; 47, \; 52$

$Q_{2}=36$ which is the middle number in the data set.

$Q_{1}= 26$ which is the average of the two middle numbers of the lower half of the data set.

$Q_{3}=46$ which is the average of the two middle numbers of the upper half of the data set.

Thus the interquartile range is $Q_{3}-Q_{1}=46-26=20$

Note, the range of the data set is given by the largest number minus the smallest number, or 52-21=31

Report an Error

View Tutors

Melody
Certified Tutor

Southern Oregon University, Bachelor of Science, Criminology. Southern Oregon University, Master of Science, Social Sciences.

View Tutors

Claudia
Certified Tutor

State University of New York at New Paltz, Bachelor in Arts, Spanish and Iberian Studies. Canisius College, Master of Arts Te...

View Tutors

Dr. Cheryl
Certified Tutor

Trinity International University-Illinois, Bachelor in Arts, Organizational Communication. Capella University, Doctor of Phil...

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in Washington DC, French Tutors in San Diego, Statistics Tutors in Philadelphia, MCAT Tutors in Atlanta, Math Tutors in Los Angeles, Math Tutors in New York City, Physics Tutors in Phoenix, GMAT Tutors in Atlanta, Computer Science Tutors in Phoenix, Calculus Tutors in Houston

Popular Courses & Classes

GMAT Courses & Classes in Houston, ISEE Courses & Classes in Washington DC, GMAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Washington DC, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Houston, SSAT Courses & Classes in Chicago, ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in Miami, SSAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in New York City, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Diego, LSAT Test Prep in Atlanta, MCAT Test Prep in Seattle, MCAT Test Prep in Chicago, GRE Test Prep in Los Angeles, MCAT Test Prep in Denver, LSAT Test Prep in Houston, SSAT Test Prep in Washington DC

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

High School Math : Understanding Quartiles and Percentiles

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Find The Percentiles For A Data Set

Example Question #1 : How To Identify Independent Events

Example Question #1 : Understanding Quartiles And Percentiles

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: