Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #48 : Median

Determine the median: $[\pi, e, -1,\sqrt2]$

Possible Answers:

$\frac{\sqrt2 +\pi}{2}$

$\frac{\sqrt2+e}{2}$

$\textup{There is no median.}$

$\frac{e-1}{2}$

$\frac{\sqrt{2e}}{2}$

Correct answer:

$\frac{\sqrt2+e}{2}$

Explanation:

The numbers will need to be reordered in chronological order from least to greatest.

Rewrite all the irrational numbers in decimal and reorder.

$[\pi=3.142, e= 2.718, -1,\sqrt2 = 1.414]\rightarrow [-1,\sqrt2,e,\pi]$

The median of an even numbered data set will the average the middle two numbers.

The answer is: $\frac{\sqrt2+e}{2}$

Report an Error

Example Question #49 : Median

Determine the median: [2,9,5,3,6,7]

Possible Answers:

$\frac{11}{2}$

$\frac{16}{3}$

$\textup{There is no median.}$

Correct answer:

$\frac{11}{2}$

Explanation:

Reorder the data set in chronological order.

$[2,9,5,3,6,7]\rightarrow[2,3,5,6,7,9]$

Average the two center numbers, since this data set has an even numbered set of data.

$\frac{5+6}{2} = \frac{11}{2}$

The median is: $\frac{11}{2}$

Report an Error

Example Question #251 : Data Properties

Determine the median of the data set: [0.01,0.2,3,5,3,0]

Possible Answers:

1.87

1.6

2.5

Correct answer:

1.6

Explanation:

Rearrange the data set from least to greatest.

$[0.01,0.2,3,5,3,0]\rightarrow[0,0.01,0.2,3,3,5]$

Since we have six numbers in the data set, the median is the average of the center two numbers.

Average the two numbers.

$\frac{0.2+3}{2} = \frac{3.2}{2} = 1.6$

The median is: 1.6

Report an Error

Example Question #51 : Median

Determine the median of the following numbers: [0,6,18,24,36,48]

Possible Answers:

Correct answer:

Explanation:

The median for an even numbered set of numbers is the average of the center two numbers in a chronologically ordered data set from least to greatest.

The center two numbers are 18 and 24 since the set is already in chronological order.

Average the two numbers.

$\frac{18+24}{2} = \frac{42}{2} = 21$

The median is .

Report an Error

Example Question #51 : Median

Determine the median: $[-1, -3, \frac{1}{2}, 0, -8 , 9, 20]$

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{5}{2}$

Correct answer:

Explanation:

Reorder the data set in chronological order.

$[-1, -3, \frac{1}{2}, 0, -8 , 9, 20]\rightarrow [ -8,-3,-1,0,\frac{1}{2},9,20]$

The median of an odd set of numbers is the central number of the data set.

Do not average the numbers.

The median is:

Report an Error

Example Question #53 : Median

Determine the median of the following numbers: $[0,\frac{1}{9},\frac{1}{18},\frac{1}{6}]$

Possible Answers:

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{5}{18}$

$\frac{1}{3}$

$\frac{5}{36}$

Correct answer:

$\frac{1}{12}$

Explanation:

The numbers are not in chronological order. Rewrite all fractions with the least common denominator.

$[0,\frac{1}{9},\frac{1}{18},\frac{1}{6}]\rightarrow[0,\frac{1(2)}{9(2)}, \frac{1}{18}, \frac{1(3)}{6(3)}]\rightarrow [0,\frac{2}{18},\frac{1}{18}, \frac{3}{18}]$

Comparing the numerators, we can sort the numbers from least to greatest.

$[0,\frac{1}{18},\frac{2}{18}, \frac{3}{18}]$

The median of an even numbered set of data is the average of the center two numbers of a chronological ordered set.

$\frac{\frac{1}{18}+\frac{2}{18}}{2} = \frac{\frac{3}{18}}{2} = \frac{\frac{1}{6}}{2}$

Simplify the complex fraction.

$\frac{1}{6} \div 2 = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}$

The answer is: $\frac{1}{12}$

Report an Error

Example Question #54 : Median

Determine the median of the numbers: [-1,-3,1,0,1,10]

Possible Answers:

$\frac{7}{3}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{1}{2}$

Explanation:

In order to determine the median, we will need to rearrange the data set from least to greatest.

$[-1,-3,1,0,1,10]\rightarrow[-3,-1,0,1,1,10]$

Since there is an even amount of numbers, the median is the average of the two central numbers.

$\frac{0+1}{2} = \frac{1}{2}$

The answer is: $\frac{1}{2}$

Report an Error

Example Question #55 : Median

Determine the median of the data set: [9,36,47,-3]

Possible Answers:

$\frac{45}{2}$

$\frac{83}{2}$

$\frac{89}{4}$

$\frac{13}{4}$

Correct answer:

$\frac{45}{2}$

Explanation:

Reorder the numbers in chronological order from least to greatest.

$[9,36,47,-3]\rightarrow[-3,9,36,47]$

The median of an even number set is the average of the center two numbers.

Average the two numbers.

$\frac{36+9}{2}= \frac{45}{2}$

The answer is: $\frac{45}{2}$

Report an Error

Example Question #56 : Median

Determine the median of the numbers: [-3,9,-2,-1,4,-3]

Possible Answers:

$-\frac{3}{2}$

$\frac{3}{2}$

$-\frac{5}{3}$

$\frac{2}{3}$

$-\frac{5}{2}$

Correct answer:

$-\frac{3}{2}$

Explanation:

The numbers will need to be rewritten in order from least to greatest.

$[-3,9,-2,-1,4,-3] \rightarrow [-3,-3,-2,-1,4,9]$

The median of an even set of numbers is the average of the center two numbers.

$\frac{-2-1}{2} = \frac{-3}{2}$

The answer is: $-\frac{3}{2}$

Report an Error

Example Question #57 : Median

Determine the median of the following data set: [3,9,-4,-18,5,7]

Possible Answers:

$\textup{There is no median.}$

Correct answer:

Explanation:

Reorganize the numbers from least to greatest.

$[3,9,-4,-18,5,7]\rightarrow[-18,4,3,5,7,9]$

Since there is even amount of numbers provided in the set, the median is the average of the center two numbers.

Average the two numbers.

$\frac{3+5}{2} = \frac{8}{2}=4$

The answer is:

Report an Error

View Algebra 2 Tutors

Tobi
Certified Tutor

Northwestern University, Bachelor of Science, Molecular Biology.

View Algebra 2 Tutors

Albert
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Computer Science.

View Algebra 2 Tutors

Brandon
Certified Tutor

Johns Hopkins University, Bachelor in Arts, Psychology.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Houston, SSAT Tutors in Washington DC, Statistics Tutors in San Diego, GMAT Tutors in Atlanta, Calculus Tutors in Denver, English Tutors in Boston, SSAT Tutors in Seattle, Spanish Tutors in Chicago, French Tutors in Chicago, Reading Tutors in Chicago

Popular Courses & Classes

ACT Courses & Classes in Denver, Spanish Courses & Classes in Atlanta, GMAT Courses & Classes in Houston, LSAT Courses & Classes in Denver, ACT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Seattle, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Phoenix, GRE Courses & Classes in Chicago, ACT Courses & Classes in Boston

Popular Test Prep

SAT Test Prep in San Francisco-Bay Area, ACT Test Prep in New York City, GRE Test Prep in Houston, MCAT Test Prep in Denver, ISEE Test Prep in Chicago, GMAT Test Prep in Phoenix, MCAT Test Prep in Chicago, ACT Test Prep in Los Angeles, LSAT Test Prep in New York City, GMAT Test Prep in San Francisco-Bay Area

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

Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #48 : Median

Example Question #49 : Median

Example Question #251 : Data Properties

Example Question #51 : Median

Example Question #51 : Median

Example Question #53 : Median

Example Question #54 : Median

Example Question #55 : Median

Example Question #56 : Median

Example Question #57 : Median

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: