Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find range

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find Range

In the field of hematology, a patient's blood oxygen content is considered "stable" if the readings taken over a period of 24 hours have a range no larger than 4.5. A day's readings for a patient are below. Is this patient's blood oxygen content stable?

98.5, 99.2, 95.1, 94.9, 97.8, 98.8, 99.1, 97.5

Possible Answers:

Yes, the range is less than 4.5.

No, the range is more than 4.5.

No, the range is less than 4.5.

There is not enough data to answer the question.

Yes, the range is more than 4.5.

Correct answer:

Yes, the range is less than 4.5.

Explanation:

To compute range, we must first identify the least and greatest values in a data set. The easiest way to do this is to order the set:

$98.5, 99.2, 95.1, 94.9, 97.8, 98.8, 99.1, 97.5\rightarrow$ $\bf 94.9,$ 95.1, 97.5, 97.8, 98.5, 98.8, 99.1, $\bf99.2$

Range is found by the equation $x_{max}-x_{min}$ , or the maximum value in the set minus the minimum value.

Thus, our range is 99.2-94.9 = 4.3 .

Since $4.3\leq 4.5$ , the blood oxygen level is considered stable.

Report an Error

Example Question #11 : How To Find Range

An ecosystem is considered to have "mild" climate if the range of its temperatures over a calendar year is less than $15^{\circ}$ , "moderate" climate if the range is between $15^{\circ} C$ and $20^{\circ} C$ , and "severe" if the range is more than $20^{\circ} C$ .

Average monthly temperatures in Celsius for a sample climate are given below (December through November). What statement can be made about the climate of this sample?

9, 12, 17, 20, 18, 23, 25, 26, 25, 22, 16, 14

Possible Answers:

The climate is both moderate and severe.

The climate is mild.

The climate is severe.

There is not enough data to answer the question.

The climate of the sample is moderate.

Correct answer:

The climate of the sample is moderate.

Explanation:

In this problem, finding the range of the sample is as simple as subtracting the lowest temperature value, $9^{\circ}C$ , from the highest, $26^{\circ}C$ .

$range = x_{max}-x_{min} = 26^{\circ}-9^{\circ} = 17^{\circ}$

Since $17^{\circ} C$ is in the range of $15^\circ \leq x \leq20^\circ$ which is the range for "moderate" climate, we may say that the sample shows a moderate climate.

Report an Error

Example Question #11 : How To Find Range

$\small 10, 23, 4, 10, 22, 3, 5$

Using the data above, calculate the range.

Possible Answers:

$\small 20$

$\small 23$

$\small 2$

$\small 10$

Correct answer:

$\small 20$

Explanation:

The range is found by finding the difference between the highest and lowest values in a given set. In this set the highest number is $\small 23$ and the lowest is $\small 3$ . Using this data, simply subtract three from twenty-three. Our answer is $\small 20$ .

$\small 10, {\color{Red} 23}, 4, 10, 22, {\color{Red} 3}, 5$

23-3=20

Report an Error

Example Question #11 : How To Find Range

$\small 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , 100$

Using the data above, find the range.

Possible Answers:

$\small 124$

$\small 10$

$\small 99$

Correct answer:

$\small 99$

Explanation:

To find the range of a data set, we must first identify the highest value given: $\small 100.$

Next, we identify the lowest value given, $\small 1$ .

Now we must find the interval between these two numbers, $\small 100-1 = 99$ .

This is our range. Note that the data piece value of $\small 100$ , is considered an outlier, meaning it is dramatically different than the rest of the data values. When an outlier is present, expect the range to be very large compared to the rest of the data values.

Report an Error

Example Question #591 : Statistics And Probability

$\small 23, 42, 53, 22, 55, 12, 56$

Using the data above, find the range.

Possible Answers:

$\small 23$

$\small 15$

$\small 45$

$\small 44.$

Correct answer:

$\small 44.$

Explanation:

The first step is to find the highest value given in the data set, in this case: $\small 56.$

Next, we find the lowest value, in this case: $\small 12$ .

The range is defined as the difference between the highest and lowest values.

Thus, the range for this set of data is $\small 56 - 12 = 44$ .

Report an Error

Example Question #592 : Statistics And Probability

$\small 6,6,9,10,15,16,20,30,48$

Using the data set above, find the range and mode.

Possible Answers:

$\small range = 42, mode = 8$

$\small range = 32, mode = 6$

$\small range = 42, mode = 6$

$\small range = 40, mode = 8$

Correct answer:

$\small range = 42, mode = 6$

Explanation:

The range is defined as the difference between the highest and lowest value in the data set.

For this data set,

$\small 48 - 6 = 42,$ thus $\small 42$ is the range.

The mode is the value that appears the most amount of times. In this set every value appears once, except the number six, which apperas twice. The mode is $\small 6$ .

Report an Error

Example Question #593 : Statistics And Probability

$\small \small 390,23,8940,283,4,4,4,4,4,4,4,4,14,134,1$

Using the data, find the range and the mean.

Possible Answers:

$\small mean= \frac{991}{15}, range = 3890$

$\small mean= \frac{9961}{15}, range = 95$

$\small mean= \frac{9817}{15} , range = 8939$

$\small mean= \frac{9961}{15}, range = 45$

Correct answer:

$\small mean= \frac{9817}{15} , range = 8939$

Explanation:

To find the mean of a data set, we add all of the data values and divide the sum by the number of data values in the set. In this set there are fifteen data values.

$\small \small \frac{390+23+8940+283+4+4+4+4+4+4+4+4+14+134+1}{15} = \frac{9817}{15}$ , this is our mean.

The range is simply the interval between the biggest and smallest numbers,

$\small 8940-1 = 8939$ . This is our range.

Report an Error

Example Question #594 : Statistics And Probability

$\small 34,2,39,30,45,33$

Using the data above, find the range and the mode, if any.

Possible Answers:

$\small mode = none, range= none$

$\small mode = none, range= 43$

$\small mode = 43, range= none$

$\small mode = none, range= 40$

Correct answer:

$\small mode = none, range= 43$

Explanation:

When provided with the data:

$\small 34,2,39,30,45,33$ ,

the easiest thing to obtain first is the mode.

Do any of these numbers appear more than once? The answer is no. All of these numbers only appear once, meaning that there is no mode in this set.

Next, we use the highest and lowest numbers to find the range.

In this set, these numbers are:

$\small 45-2 = 43$ ,

thus this is the range.

Report an Error

Example Question #595 : Statistics And Probability

What is the range of the following number set?

2,4,5,1,10,11,3

Possible Answers:

Correct answer:

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set 2,4,5,1,10,11,3 , the highest number is and the lowest number is .

Therefore, the range is 11-1=10 .

Report an Error

Example Question #596 : Statistics And Probability

What is the range of the following number set?

0,1,5,3,7,6,2,8,9,17,12

Possible Answers:

Correct answer:

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set 0,1,5,3,7,6,2,8,9,17,12 , the highest number is and the lowest number is .

Therefore, the range is 17-0=17 .

Report an Error

View Algebra Tutors

Kansiyochukwu
Certified Tutor

University of Calgary, Bachelor of Science, Electromechanical Engineering.

View Algebra Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

View Algebra Tutors

Amelia
Certified Tutor

Austin College, Bachelor in Arts, Applied Mathematics. University of North Carolina at Charlotte, Master of Science, Applied ...

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Chicago, SSAT Tutors in Los Angeles, ACT Tutors in Houston, GRE Tutors in Boston, English Tutors in Miami, SSAT Tutors in San Francisco-Bay Area, Statistics Tutors in San Diego, Computer Science Tutors in Seattle, Math Tutors in Miami, ACT Tutors in Miami

Popular Courses & Classes

LSAT Courses & Classes in Denver, Spanish Courses & Classes in Phoenix, SAT Courses & Classes in Philadelphia, SAT Courses & Classes in Phoenix, ACT Courses & Classes in Miami, SAT Courses & Classes in Houston, ACT Courses & Classes in Seattle, GRE Courses & Classes in Miami, SSAT Courses & Classes in Phoenix, GMAT Courses & Classes in New York City

Popular Test Prep

SAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Chicago, ISEE Test Prep in Boston, SSAT Test Prep in Los Angeles, MCAT Test Prep in Los Angeles, ISEE Test Prep in Los Angeles, GMAT Test Prep in Chicago, GRE Test Prep in Washington DC, SAT Test Prep in Miami, ISEE 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

Algebra 1 : How to find range

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #11 : How To Find Range

Example Question #11 : How To Find Range

Example Question #11 : How To Find Range

Example Question #11 : How To Find Range

Example Question #591 : Statistics And Probability

Example Question #592 : Statistics And Probability

Example Question #593 : Statistics And Probability

Example Question #594 : Statistics And Probability

Example Question #595 : Statistics And Probability

Example Question #596 : Statistics And Probability

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: