We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : Median

Study concepts, example questions & explanations for ISEE Upper Level Math

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find Median

The following are the scores from a math test in a given classroom. What is the median score?

$\small \left \{ 70,89,67,77,92,83,68,75\right \}$

Possible Answers:

84.5

77.625

Correct answer:

Explanation:

To find the median you need to arrange the values in numerical order.

Starting with this:

Rearrange to look like this:

$\small \small \left \{ 67,68,70,75,77,83,89,92\right \}$

If there are an odd number of values, the median is the middle value. In this case there are 8 values so the median is the average (or mean) of the two middle values.

$\small (75+77)\div2=76$

Report an Error

Example Question #1 : Median

The median of nine consecutive integers is 604. What is the greatest integer?

Possible Answers:

607

610

608

613

612

Correct answer:

608

Explanation:

The median of nine (an odd number) integers is the one in the middle when the numbers are arranged in ascending order; in this case, it is the fifth lowest. Since the nine integers are consecutive, the greatest integer is four more than the median, or 604 + 4 = 608 .

Report an Error

Example Question #2 : Median

The median of consecutive integers in a set of data is . What is the smallest integer in the set of data?

Possible Answers:

Correct answer:

Explanation:

We know that the numbers should be arranged in ascending order to find the median. When the number of values is odd, the median is the single middle value. In this question we have consecutive integers with the median of . So the median is the 6th number in the rearranged data set. Since the integers are consecutive, the smallest integer is five less than the median or it is equal to 28-5=23 .

Report an Error

Example Question #3 : Median

What is the median of the frequency distribution shown in the table:

$\begin{matrix} Data \ Value & Frequency \\ 12 & 4\\ 14& 7\\ 15& 3\\ 18& 2 \end{matrix}$

Possible Answers:

Correct answer:

Explanation:

There are 4+7+3+2=16 data values altogether. When the number of values is even, the median is the mean of the two middle values. So in this problem the median is the mean of the 8th and 9th largest values. So we can write:

$8th\ largest \ value=14$

$9th\ largest \ value=14$

So:

$Median=\frac{14+14}{2}=14$

Report an Error

Example Question #24 : Data Analysis

Scores from a math test in a given classroom are as follows:

$\left \{ 80, 84, 86, 66, 57, 69, 92, 90 \right \}$

What is the median score?

Possible Answers:

Correct answer:

Explanation:

In order to find the median the data must first be ordered. So we have:

$\left \{ 57,66,69,80,84,86,90,92 \right \}$

In this problem the number of values is even. We know that when the number of values is even, the median is the mean of the two middle values. So we get:

$Median=\frac{80+84}{2}=82$

Report an Error

Example Question #25 : Data Analysis

Heights of a group of students in a high school are as follows (heights are given in ):

$\left \{ 176,180,181,182,168,174,169,188,165 \right \}$

Find the median height.

Possible Answers:

178cm

176 cm

174cm

180cm

172cm

Correct answer:

176 cm

Explanation:

In order to find the median the data must first be ordered. So we have:

$\left \{ 165,168,169,174,176,180,181,182,188 \right \}$

When the number of values is odd, the median is the single middle value. In this problem we have nine values. So the median is th 5th value which is 176cm .

Report an Error

Example Question #3 : How To Find Median

Find the median in the following set of data:

$\left \{ 2,3,4,1,2,4,3,7,3,4 \right \}$

Possible Answers:

Correct answer:

Explanation:

In order to find the median, the data must first be ordered. So we should write:

$\left \{ 1,2,2,3,3,3,4,4,4,7 \right \}$

When the number of values is even, the median is the mean of the two middle values. In this problem we have values, so the median would be the mean of the 5th and 6th values:

$Median=\frac{3+3}{2}=3$

Report an Error

Example Question #5 : Median

If is a real number, find the median in the following set of data in terms of .

$\left \{ t,t+4,t+2,t+5,t+1,t+8 \right \}$

Possible Answers:

t-2

t+3

t+2

t+4

t+1

Correct answer:

t+3

Explanation:

The data should first be ordered:

$\left \{ t, t+1, t+2, t+4, t+5, t+8 \right \}$

When the number of values is even, the median is the mean of the two middle values. So in this problem we need to find the mean of the 3th and 4th values:

$Median=\frac{(t+2)+(t+4)}{2}=\frac{2t+6}{2}=t+3$

Report an Error

Example Question #91 : Statistics

The heights of the members of a basketball team are 64,78,76,80,82,83,75,x inches. The mean of the heights is $78\ in$ . Give the median of the heights.

Possible Answers:

$81\ in$

$80\ in$

$82\ in$

$83\ in$

$79\ in$

Correct answer:

$79\ in$

Explanation:

The mean is the sum of the data values divided by the number of values or as a formula we have:

$\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_{i}$

Where:

$\bar{x}$ is the mean of a data set, $\sum$ indicates the sum of the data values $x_{i}$ and is the number of data values. So we can write:

$\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_{i}=\frac{(64+78+76+80+82+83+75+x)}{8}$

$\Rightarrow \bar{x}=\frac{538+x}{8}=78\Rightarrow 538+x=78\times 8$

$\Rightarrow 538+x=624\Rightarrow x=624-538=86\ in$

In order to find the median, the data must first be ordered:

$\left \{ 64,75,76,78,80,82,83,86 \right \}$

Since the number of values is even, the median is the mean of the two middle values. So we get:

$Median=\frac{78+80}{2}=79\ in$

Report an Error

Example Question #31 : Data Analysis And Probability

Give the median of the frequency distribution shown in the following table:

$\begin{matrix} Data \ Value & Frequency \\ 120 & 7\\ 142& 3\\ 160& 4\\ 174& 6 \end{matrix}$

Possible Answers:

150

142

144

151

138

Correct answer:

151

Explanation:

There are 7+3+4+6=20 data values altogether. When the number of values is even, the median is the mean of the two middle values. So in this problem the median is the mean of the 10th and 11th largest values. So we can write:

$10th\ largest \ value=142$

$11th\ largest \ value=160$

So:

$Median=\frac{142+160}{2}=151$

Report an Error

View Tutors

Evgenii
Certified Tutor

View Tutors

Pavan
Certified Tutor

University of Tennessee, Knoxville, Master's/Graduate, Mechanical Engineering. Pennsylvania State University, Master's/Gradua...

View Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Miami, Biology Tutors in Seattle, Computer Science Tutors in Atlanta, Physics Tutors in Washington DC, Reading Tutors in Miami, Algebra Tutors in Seattle, SSAT Tutors in Phoenix, GMAT Tutors in Chicago, Math Tutors in New York City, ACT Tutors in Seattle

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Boston, LSAT Courses & Classes in Denver, SSAT Courses & Classes in Miami, GMAT Courses & Classes in Atlanta, GRE Courses & Classes in Miami, ISEE Courses & Classes in Denver, SAT Courses & Classes in New York City, SAT Courses & Classes in Phoenix, MCAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

LSAT Test Prep in New York City, GMAT Test Prep in Miami, MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Denver, MCAT Test Prep in Atlanta, SSAT Test Prep in Houston, SAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Boston, GRE Test Prep in Denver

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

ISEE Upper Level Math : Median

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #1 : How To Find Median

Example Question #1 : Median

Example Question #2 : Median

Example Question #3 : Median

Example Question #24 : Data Analysis

Example Question #25 : Data Analysis

Example Question #3 : How To Find Median

Example Question #5 : Median

Example Question #91 : Statistics

Example Question #31 : Data Analysis And Probability

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: