We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Statistics : Analysis of Variance

Study concepts, example questions & explanations for Statistics

Create An Account

All Statistics Resources

20 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Analysis Of Variance

Calculate the standard deviation of the following data set:

$3, 7, 2, 9, 8, \textup{and }10$

Possible Answers:

2.689

2.986

Cannot be determined

2.658

2.865

Correct answer:

2.986

Explanation:

The standard deviation is found by using the following formula:

$s=\sqrt{\frac{\sum \left | x-\bar{x}\right |^2}{n}}$

We will start by identifying the components of this equation:

$\sum=\textup{sum}$

$x=\textup{variable in the data set}$

$\bar{x}=\textup{mean of the data set}$

$n=\textup{total number of variables in the data set}$

Now, we can use this information to calculate the standard deviation.

First, we need to identify and $\bar{x}$ . There are six variables in the data set; therefore, we can write the following:

n=6

Next, we need to calculate the mean:

$\bar{x}=\frac{\sum x}{n}$

$\bar{x}=\frac{3+7+2+9+8+10}{6}$

$\bar{x}=\frac{39}{6}$

$\bar{x}=6.5$

Second, we need to find the square of the absolute of each variable minus the mean: $\left | x-\bar{x}\right |^2$

$\textup{For 3}=\left | 3-6.5\right |^2=12.25$

$\textup{For 7}=\left | 7-6.5\right |^2=0.25$

$\textup{For 2}=\left | 2-6.5\right |^2=20.25$

$\textup{For 9}=\left | 9-6.5\right |^2=6.25$

$\textup{For 8}=\left | 8-6.5\right |^2=2.25$

$\textup{For 10}=\left | 10-6.5\right |^2=12.25$

Last, let's substitute these values into the standard deviation formula and solve.

$s=\sqrt{\frac{\sum \left | x-\bar{x}\right |^2}{n}}$

$s=\sqrt{\frac{(12.25+0.25+20.25+6.25+2.25+12.25)}{6}}$

$s=\sqrt{\frac{53.5}{6}}$

Solve.

s=2.986

Report an Error

View Tutors

Mary Jane
Certified Tutor

Winthrop University, Bachelor of Science, Elementary School Teaching.

View Tutors

Christopher
Certified Tutor

Columbia University in the City of New York, Bachelor of Science, Industrial Engineering. University of Maryland-University C...

View Tutors

Godswill
Certified Tutor

Rivers State University, Bachelor of Engineering, Mechanical Engineering. Texas Southern University, Master of Science, Compu...

All Statistics Resources

20 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Los Angeles, English Tutors in San Francisco-Bay Area, Chemistry Tutors in Denver, Statistics Tutors in San Diego, GMAT Tutors in Boston, Statistics Tutors in Chicago, ISEE Tutors in Denver, Chemistry Tutors in San Francisco-Bay Area, Math Tutors in Houston, ISEE Tutors in Dallas Fort Worth

Popular Courses & Classes

LSAT Courses & Classes in Seattle, SSAT Courses & Classes in Chicago, Spanish Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Denver, GMAT Courses & Classes in Washington DC, Spanish Courses & Classes in Phoenix, ISEE Courses & Classes in San Diego, MCAT Courses & Classes in San Diego, SSAT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Los Angeles, SSAT Test Prep in Phoenix, GMAT Test Prep in Houston, ISEE Test Prep in Chicago, ISEE Test Prep in Seattle, LSAT Test Prep in Phoenix, SAT Test Prep in Phoenix, SSAT Test Prep in New York City, GRE Test Prep in Chicago, GRE Test Prep in Seattle

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

Statistics : Analysis of Variance

Study concepts, example questions & explanations for Statistics

All Statistics Resources

Example Questions

Example Question #1 : Analysis Of Variance

All Statistics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: