Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Statistics

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Statistics

The average of four numbers is 27. A new number, $\dpi{100} \small x$ , is added to these four, and the new average of the five numbers is 25. What is the value of $\dpi{100} \small x$ ?

Possible Answers:

$\dpi{100} \small 15$

$\dpi{100} \small 21$

$\dpi{100} \small 14$

$\dpi{100} \small 17$

$\dpi{100} \small 18$

Correct answer:

$\dpi{100} \small 17$

Explanation:

The value of $\dpi{100} \small x$ is $\dpi{100} \small 17$ . Suppose we call the sum of the original four numbers $\dpi{100} \small z$ . We know that $\frac{z}{4}=27$ , so $\dpi{100} \small z=108$ . Now, when $\dpi{100} \small x$ is added to $\dpi{100} \small z$ , we know that $\frac{x+z}{5}=25$ . This means that $x+z=125$ , and thus $x=125-z$ . Since $\dpi{100} \small z=108$ , $\dpi{100} \small x$ must equal $\dpi{100} \small 17$ .

Report an Error

Example Question #22 : Statistics

Jameson received four grades on his algebra tests, which brought his average to an 88. What grade would he have to make on his final test in order to bring his average up to a 90?

Possible Answers:

100

Correct answer:

Explanation:

To start, we have to understand the concept behind averages. To average something, take all your numbers, add them together and then divide by the total amount of numbers. Also, the definition of an average is a quantity intermediate to a set of quantities, or in other words, the exact middle.

In this particular problem, we know that the average of the first four tests is an 88, which means that the summation of the first four tests divided by 4 must equal 88. We can extrapolate from the definition of an average that the first four tests can all be estimated at 88.

When adding in the fifth test, we must then account for 5 tests as opposed to 4. We can set up and solve the formula for the fifth test's grade as such:

( = fifth test)

$\frac{88+88+88+88+x}{5}=90$

Multiply both sides by 5.

352+x=450

x=98

Jameson must score a 98 on his last test to bring his average up to a 90.

Report an Error

Example Question #21 : Statistics

If Point $X$ is located at $-10$ on a number line and Point $Z$ is located at $101$ on the same line. What is the midpoint of line $XZ$ ?

Possible Answers:

$45.5$

$55.5$

$43.5$

$46.5$

$44.5$

Correct answer:

$45.5$

Explanation:

The line is 111 points long, meaning the midpoint is 55.5 away from either end. Simply subtract 55.5 from 101 to yield 45.5.

Report an Error

Example Question #24 : Statistics

Brenda's cat gave birth to 6 kittens. The kittens weights are listed below.

$1.6\ oz.$

$1.8\ oz.$

$2.3\ oz.$

$3\ oz.$

$0.98\ oz.$

$1.2\ oz.$

What is the average weight of one of Brenda's kittens?

Possible Answers:

$1.81\ oz.$

$1.62\ oz.$

$10.5\ oz.$

$2.8\ oz.$

$3\ oz.$

Correct answer:

$1.81\ oz.$

Explanation:

Sum of the weights divided by 6.

Report an Error

Example Question #24 : Statistics

A graduating class has 300 women and 250 men. The women's ages average to 27 and the men's ages average to 29. What is the average age of the class?

Possible Answers:

$28$

$27.9$

$Cannot\ be\ determined$

$27.5$

$27$

Correct answer:

$27.9$

Explanation:

$\small \frac{(300)(27) + (250)(29)}{550}$

$\small \frac{8100+7250}{550}= 27.9$

Report an Error

Example Question #26 : Statistics

In Town A, the average price of gas at all 45 gas stations is $3.31 per gallon. In Town B, the average price of gas at all 20 gas stations is $3.22 per gallon. What is the average combined average price of gas in both towns?

Possible Answers:

$\dpi{100} \$3.30\ per\ gallon$

$\$3.28\ per\ gallon$

$\dpi{100} \$3.29\ per\ gallon$

$\dpi{100} \$3.27\ per\ gallon$

$\dpi{100} \$3.26\ per\ gallon$

Correct answer:

$\$3.28\ per\ gallon$

Explanation:

Assume that all gas stations in Town A are selling the gas at $3.31 per gallon and all gas stations in Town B are selling the gas at $3.22 per gallon. To find the average price per gallon across all stores, you write the following formula:

$\frac{45(3.31)+20(3.22)}{65}$

$\frac{148.95+64.4}{65}$

$\frac{213.35}{65}$

$3.28$

Report an Error

Example Question #22 : How To Find Arithmetic Mean

On the last Algebra exam, Sarah scored 87, Amy scored 63, and Jessica scored lower than Sarah but higher than Amy. What is Jessica's score if the mean of their three scores is 52 points higher than the range of their scores?

Possible Answers:

Correct answer:

Explanation:

The range of a set of data is the difference between the highest and lowest values in the set. Since Jessica scored between Sarah and Amy, the range must be the difference between Sarah and Amy's scores. 87 - 63 = 24

If the mean is 52 points higher than the range, the mean must be 52 +24 = 76 .

The mean is the sum of the values in the set divided by the number of values in the set.

Let Jessica's score be denoted by .

$\frac{87 + J + 63}{3} = 76$

Solve for .

Report an Error

Example Question #25 : Statistics

Last week, gas sold in the 92 gas stations in Jonestown for an average of $3.32 per gallon, and gas sold for an average of $3.42 per gallon in the 142 gas stations in Smithsville. What was the average price of gas per gallon in all of the gas stations of Jonestown and Smithsville together?

Possible Answers:

$\dpi{100} \$3.39\ per\ gallon$

$\dpi{100} \$3.37\ per\ gallon$

$\$3.38\ per\ gallon$

$\dpi{100} \$3.40\ per\ gallon$

$\dpi{100} \$3.36\ per\ gallon$

Correct answer:

$\$3.38\ per\ gallon$

Explanation:

Assume that the price of gas in every gas station of each town is exactly the average price. The equation you would write would then be as follows:

$\frac{92(\$ 3.32)+142(\$3.42)}{(92+142)}$

The correct answer is $3.38 per gallon.

Report an Error

Example Question #28 : Statistics

Susan checked her grades and saw that she had averaged an 88% on the last four tests. After taking the fifth test, her average grade was now 90%. What grade did she get on her fifth test?

Possible Answers:

$92\%$

$96\%$

$100\%$

$98\%$

$90\%$

Correct answer:

$98\%$

Explanation:

Because her average grade after 5 tests was 90% and the first four tests averaged 88%, write the following expression:

$\frac{4(88)+x}{5}=90$

$4(88)+x=450$

$x=98$

Report an Error

Example Question #2751 : Act Math

What is the sum of the range, mean, mode and median of the following data set:

15, 2, 7, 3, 11, 5, 12, 2, 6

Possible Answers:

Correct answer:

Explanation:

Arrange the data set from smallest to largest:

2, 2, 3, 5, 6, 7, 11, 12, 15

Range: $largest\ \# - smallest\ \#$ or 15 - 2 = 13

Median: number in the middle, or

Mode: number most often repeated, or

Mean: the sum of all numbers divided by the total number of data points, or $\frac{63}{9} = 7$

The sum of all these measures is .

Report an Error

View ACT Math Tutors

Nate
Certified Tutor

University of Wisconsin-Oshkosh, non degree, Prepharmacy. University of Wisconsin-Madison, Pharmaceutical Chemist, Pharmacy.

View ACT Math Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View ACT Math Tutors

Jason
Certified Tutor

Brigham Young University, Bachelor, Neuroscience.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in Washington DC, GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Denver, GRE Courses & Classes in San Diego, LSAT Courses & Classes in Phoenix, LSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Seattle, GMAT Courses & Classes in Houston, GRE Courses & Classes in Boston

Popular Test Prep

SSAT Test Prep in Miami, GMAT Test Prep in Houston, GMAT Test Prep in Boston, ISEE Test Prep in San Diego, GMAT Test Prep in Denver, ISEE Test Prep in Seattle, SSAT Test Prep in New York City, MCAT Test Prep in New York City, ACT Test Prep in San Diego, SSAT 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

ACT Math : Statistics

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #21 : Statistics

Example Question #22 : Statistics

Example Question #21 : Statistics

Example Question #24 : Statistics

Example Question #24 : Statistics

Example Question #26 : Statistics

Example Question #22 : How To Find Arithmetic Mean

Example Question #25 : Statistics

Example Question #28 : Statistics

Example Question #2751 : Act Math

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: