GMAT Math : Descriptive Statistics

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2051 : Problem Solving Questions

Five friends go out to a restaurant to celebrate the birthday of one of them. The cost of the meal for all of them including tax is $\$280.00$ . They decide to leave a $15\%$ tip and to split the total amount equally. If the person celebrating his or her birthday does not pay, how much do each of the other four friends pay?

Possible Answers:

$\$64.40$

$\$88.50$

$\$74.50$

$\$80.50$

$\$59.50$

Correct answer:

$\$80.50$

Explanation:

The total cost of the meal including tax and the $15\%$ tip is:

$280\times(1+0.15)=322$

They split the total amount equally between four of them, so each of those four people then pays:

$\frac{322}{4}=80.5$

Each of the four friends pays $\$80.50$ .

Report an Error

Example Question #51 : Descriptive Statistics

Calculate the arithmetic mean for the following set of data:

(13, 7, 5, 6, 8, 9)

Possible Answers:

Correct answer:

Explanation:

To calculate the mean of a set of data, we sum the values and then divide by the number of values present. In this case we have 6 values, so we add them all together and then divide by 6 to find the arithmetic mean for this set of data:

$\mu=\frac{\sum_{i=1}^{6}x_i}{6}=\frac{13+7+5+6+8+9}{6}=\frac{48}{6}=8$

Report an Error

Example Question #52 : Descriptive Statistics

Calculate the mean of the following set of data:

$\begin{Bmatrix} 7, 11, 8, 13, 14, 9, 8 \end{Bmatrix}$

Possible Answers:

Correct answer:

Explanation:

To calculate the mean of a set of a data, we add up all the entries and then divide the result by the number of entries in the data set. There are seven entries in the given set, so we'll add them up and then divide by seven to find the mean:

$\mu=\frac{7+11+8+13+14+9+8}{7}=\frac{70}{7}=10$

Report an Error

Example Question #2052 : Problem Solving Questions

The arithmetic mean of and is 35. Also, x - y = 30 . What is ?

Possible Answers:

y = 20

y = 30

y = 25

y = 40

y = 35

Correct answer:

y = 20

Explanation:

If the arithmetic mean of and is 35, then

$\frac{x+ y}{2} = 35$ .

This, along with the statement

x - y = 30 ,

form a system of equations that can be solved as follows:

x - y + y = 30 + y

x = 30 + y

Substitute:

$\frac{ 30 + y+ y}{2} = 35$

$\frac{ 30 +2y}{2} = 35$

$\frac{ 30 +2y}{2} \cdot 2 = 35\cdot 2$

30 +2y = 70

30 +2y - 30 = 70 - 30

2y = 40

$2y \div 2 = 40 \div 2$

y = 20

Report an Error

Example Question #2061 : Problem Solving Questions

The arithmetic mean of and is 66. The arithmetic mean of and is 60. The arithmetic mean of and is 72. Give the arithmetic mean of , , and .

Possible Answers:

Insufficient information is given to determine the mean.

Correct answer:

Explanation:

The arithmetic mean of and is 64, so

$\frac{x+ y}{2}= 66$

Similarly,

$\frac{x+ z}{2}= 60$

$\frac{y+ z}{2}= 72$

Add the expressions:

$\frac{x+ y}{2} + \frac{x+ z}{2}+ \frac{y+ z}{2}= 66+ 60 +72$

$\frac{2x+2 y+ 2z}{2} = 198$

x+y+z= 198

The arithmetic mean of , , and is

$\frac{x+y+z}{3}= \frac{198}{3} = 66$

Report an Error

Example Question #55 : Descriptive Statistics

The arithmetic mean of and is 76. The arithmetic mean of and is 63. The arithmetic mean of and is 84.

Order , , and from least to greatest.

Possible Answers:

y, z, x

z, x, y

x, y, z

x, z, y

z, y, x

Correct answer:

x, z, y

Explanation:

The arithmetic mean of and is 76, so

$\frac{x+ y}{2}= 76$

Similarly,

$\frac{x+ z}{2}= 63$

Subtract:

$\frac{x+ y}{2}- \frac{x+ z}{2}= 76-63$

$\frac{ y-z}{2}}= 13$

$\frac{ y-z}{2}}\cdot 2= 13 \cdot 2$

y-z = 26

y = z + 26 ,

so y > z

By similar reasoning:

$\frac{x+ y}{2}= 76$

$\frac{y+ z}{2}= 84$

$\frac{y+ z}{2}- \frac{x+ y}{2}= 84 - 76$

$\frac{ z-x}{2}}= 8$

$\frac{ z-x}{2}}\cdot 2 = 8 \cdot 2$

z-x = 16

z= x+16

so z > x

Therefore, x< z< y .

Report an Error

Example Question #51 : Descriptive Statistics

The arithmetic mean of , x+ 4 , 3x+7 , and 2x-8 is 40.

What is (rounded to the nearest whole number, if applicable) ?

Possible Answers:

Correct answer:

Explanation:

The arithmetic mean of , x+ 4 , 3x+7 , and 2x-8 is 40, so their sum divided by 4 is equal to 40.

$\frac{2x + (x+4)+(3x+7)+(2x-8)}{4} = 40$

$\frac{2x + x +3x +2x +4+7-8}{4} = 40$

$\frac{8x +3}{4} = 40$

$\frac{8x +3}{4} \cdot 4 = 40\cdot 4$

8x+3 = 160

8x = 157

$x = 19 \frac{5}{8}$

This rounds to 20.

Report an Error

Example Question #41 : Arithmetic Mean

Which of the following is the arithmetic mean of 10 + x , x - 12 , 14 - x , and ?

Possible Answers:

x+3

0.25x+3

0.25x-3

x-3

Correct answer:

Explanation:

The arithmetic mean of 10 + x , x - 12 , 14 - x , and is the sum of the expressions divided by 4, or:

$\frac{(10 + x )+ (x-12)+ (14-x)+ (-x)}{4}$

$= \frac{x + x-x -x -12+ 14+ 10 }{4}$

$= \frac{12 }{4}$

= 3

Report an Error

Example Question #2065 : Problem Solving Questions

The arithmetic mean of , , and is 200.

The arithmetic mean of and is 190.

The arithmetic mean of and is 210.

Evaluate the arithmetic mean of and .

Possible Answers:

170

200

190

230

210

Correct answer:

200

Explanation:

The arithmetic mean of , , and is 200, so

$\frac{x+y+z}{3} = 200$

$\frac{x+y+z}{3} \cdot 3 = 200 \cdot 3$

x+y+z = 600

The arithmetic mean of and is 190, so

$\frac{x+y }{2} = 190$

$\frac{x+y }{2}\cdot 2 = 190 \cdot 2$

x+ y = 380

x+y+z - (x+y) = 600 - 380

z = 220

The arithmetic mean of and is 210, so

$\frac{y+z }{2} = 210$

$\frac{y+z }{2}\cdot 2 = 210 \cdot 2$

y+z = 420

x+y+z - (y+z) = 600 - 420

x = 180

The arithmetic mean of and is

$\frac{x+z }{2} = \frac{180+220 }{2}= \frac{400}{2} = 200$

Report an Error

Example Question #53 : Descriptive Statistics

Determine the mean for the following set of numbers.

{6,2,5,5,8,4}

Possible Answers:

Correct answer:

Explanation:

To find the mean, simply sum up the numbers and divide by the amount of numbers.

$\textup{mean}=\frac{6+2+5+5+8+4}{6}=5$

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in San Diego, Biology Tutors in Dallas Fort Worth, Spanish Tutors in Denver, ISEE Tutors in Boston, Spanish Tutors in Washington DC, Chemistry Tutors in Miami, SSAT Tutors in Philadelphia, MCAT Tutors in Philadelphia, Computer Science Tutors in Boston, Calculus Tutors in San Diego

Popular Courses & Classes

ISEE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in New York City, MCAT Courses & Classes in New York City, ISEE Courses & Classes in Atlanta, ACT Courses & Classes in Seattle, LSAT Courses & Classes in Miami, GRE Courses & Classes in Miami, ISEE Courses & Classes in Philadelphia, LSAT Courses & Classes in New York City, SAT Courses & Classes in San Diego

Popular Test Prep

GMAT Test Prep in Phoenix, GRE Test Prep in Philadelphia, SSAT Test Prep in Miami, ACT Test Prep in Houston, ACT Test Prep in San Diego, LSAT Test Prep in Atlanta, GRE Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area, SAT Test Prep in Houston, SSAT Test Prep in Phoenix

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)

Email address:
Your name:
Feedback:

GMAT Math : Descriptive Statistics

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #2051 : Problem Solving Questions

Example Question #51 : Descriptive Statistics

Example Question #52 : Descriptive Statistics

Example Question #2052 : Problem Solving Questions

Example Question #2061 : Problem Solving Questions

Example Question #55 : Descriptive Statistics

Example Question #51 : Descriptive Statistics

Example Question #41 : Arithmetic Mean

Example Question #2065 : Problem Solving Questions

Example Question #53 : Descriptive Statistics

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details