Quartiles And Box Plots Common Core Algebra 1 Homework Help

Terms and Conditions

WHY. We are a small, independent publisher founded by a math teacher and his wife. We believe in the value we bring to teachers and schools, and we want to keep doing it. We keep our prices low so all teachers and schools can benefit from our products and services. We ask that you help us in our mission by complying with these Terms & Conditions.

PLEASE, NO SHARING.We know it’s nice to share, but please don’t share your subscriber content or your login or validation info. Your subscription is a Single User License, which means it gives one person – you -- the right to access the subscriber content (Answer Keys, editable lesson files, pdfs, etc.) but is not meant to be shared.

  • Please do not copy or share the Answer Keys or other subscriber content.
  • Please do not post the Answer Keys or other subscriber content on a website for others to view. This includes school websites and teacher pages on school websites.
  • You can make copies of the Answer Keys to hand out to your class, but please collect them when the students are finished with them.
  • If you are a school, please purchase a license for each teacher/user.

PLEASE RESPECT OUR COPYRIGHT AND TRADE SECRETS. We own the copyright in all the materials we create, and we license certain copyrights in software we use to run our site, manage credentials and create our materials; some of this copyrighted software may be embedded in the materials you download. When you subscribe, we give you permission (a “Single User License”) to use our copyrights and trade secrets and those we license from others, according to our Terms & Conditions. So in addition to agreeing not to copy or share, we ask you:

  • Please don’t reverse-engineer the software; and please don’t change or delete any authorship, version, property or other metadata.
  • Please don’t try to hack our validation system, or ask anyone else to try to get around it.
  • Please don’t put the software, your login information or any of our materials on a network where people other than you can access it
  • Please don’t copy or modify the software or subscriber content in any way unless you have purchased editable files;
  • If you create a modified assignment using a purchased editable file, please credit us as follows on all assignment and answer key pages:

“This assignment is a teacher-modified version of [eMath Title] Copyright © 201x eMath Instruction, LLC, used by permission”

FEEDBACK REQUESTED. We value your feedback about our products and services. We think others will value it, too. That’s why we may do the following (and we ask that you agree):

  • Use your feedback to make improvements to our products and services and even launch new products and services, with the understanding that you will not be paid or own any part of the new or improved products and services (unless we otherwise agree in writing ahead of time).
  • Share your feedback, including testimonials, on our website or other advertising and promotional materials, with the understanding that you will not be paid or own any part of the advertising or promotional materials (unless we otherwise agree in writing ahead of time).

SATISFACTION GUARANTEED. If you are not 100% satisfied, we will refund you the purchase price you paid within 30 days. To get a refund:

  • Within 30 days of your purchase,
  • Delete the software and all subscriber content from all your computers, destroy all photocopies or printouts of our materials and return all tangible copies (disks, workbooks, etc) and other materials you have received from us to:

eMath Instruction Returns Department
10 Fruit Bud Lane
Red Hook, NY 12571

TECHNICAL SUPPORT: If you are having trouble logging in or accessing your materials, or if your downloaded materials won’t open or are illegible, please notify us immediately by email at info@emathinstruction.com so we can get it fixed.

NO WARRANTY. We believe in the quality and value of our products and services, and we work hard to make sure they work well and are free of bugs. But that said, we are providing our products and services to you “as is,” which means we are not responsible if something bad happens to you or your computer system as a result of using our products and services. For our full Disclaimer of Warranties, please see our Legalese version of these Terms & Conditions Here.

DISPUTES. If we have a dispute that we cannot resolve on our own, we will use Binding Arbitration instead of filing a lawsuit in a regular court (except that you can use small claims court). Binding Arbitration means our case will be decided by one or more arbitrators who are chosen and paid by all parties to the dispute. Arbitration is a faster and less formal way of resolving disputes and therefore tends to cost less.

  • To begin an arbitration proceeding, please send a letter requesting arbitration and describing your claim to:

eMath Instruction, Inc.
10 Fruit Bud Lane
Red Hook, NY 12571

LIMITATION OF LIABILITY. If you do win a case against us, the most you can recover from us is the amount you have paid us.

To see the Legalese version of our Terms & Conditions, please click HERE. We’ve given you the highlights above, in plain English, but it’s a good idea to look at the Legalese, too, because by checking the box below and proceeding with your purchase you are agreeing to both the English and Legalese.

Often times, we need to know more about our data than just a possible center value.
One of the additional pieces of information that we may need is the actual distribution of the data (how the data is spread out). To find this information, we examine the data for a
five statistical summary (or five number summary): (1) minimum, (2) maximum, (3) median (second quartile), (4) first quartile, and (5) third quartile. These pieces of information will show the extent to which the data is located near the center or near the extremes of the set.


Before we look further at a five statistical summary, let's refresh our skills on quartiles.

Quartiles

 

A median divides a data set into two equal parts. The set can be subdivide further into four equal parts, by values called quartiles. The quartiles divide the data set into quarters, with each quarter containing one-fourth (or 25%) of the data. The quartiles are like additional "medians" of the lower and upper halfs of the data set. A quartile is a number, it is not a range of values. Data can be described as being "above" or "below" the first quartile, but data is never "in" the first quartile.

Q1: The first quartile is the middle (the median) of the lower half of the data set. One-fourth (25%) of the data lies below the first quartile, and three-fourths (75%) lies above.

Q2:The second quartile is another name for the median of the entire set. One-half (50%) of the data lies below the second quartile, and one-half (50%) lies above.

Q3:The third quartile is the middle (the median) of the upper half of the data set. Three-fourths (75%) of the data lies below the third quartile and one-fourth (25%) lies above.

The difference between the third quartile and first quartile is called
the interquartile range (IQR).
The interquartile range (also called the midspread or middle fifty), is the distance between the third and first quartiles and is considered a more stable statistic than the "range" of the set. 
The IQR contains 50% of the data. 

For the example shown above, the IQR = 51 - 26½ = 24½.

It may be the case that a data value falls well outside the range of the other values in the set. Such data values are called outliers (as they "lie outside" the other values) . We will see, later on this page, that outliers may lead to false impressions regarding the distribution of a data set.

Outliers are defined as those data points that fall more than a specified distance from the first or third quartiles. That specified distance is 1.5 • IQR (one and one-half times the IQR). Data points that fall to the far left, or far right, of an ordered data set should be tested as possible outliers.

Outliers are:
greater than Q3 + (1.5 • IQR)
(referred to as the upper fence)
or less than Q1 - (1.5 • IQR)
(referred to as the lower fence)





Five Statistical Summary

 


Let's describe our data set (discussed above) with a five statistical summary:
minimum, maximum, median, first quartile and third quartile.
DATA SET: {24, 25, 26, 27, 30, 32, 40, 44, 50, 52, 55, 57}

While not telling every value in the data set,
a five statistical summary will tell you that:
• half (50%) of the data values are below 36,
• half (50%) of the data values are above 36, and
• half (50%) of the scores are between 26½ and 51.
It also tells how the data break out in quarters,
along with the smallest and largest data values.

For calculator help with
five-number summary
click here.

 

Box & Whiskers

A five statistical summary can be represented graphically as a box and whisker plot (or box plot). The first and third quartiles are the ends of the box, the median is indicated with a vertical line in the interior of the box, and the minimum and maximum are the ends of the whiskers (unless an outlier is present). Each of the four "sections" of a box plot represents 25% of the data in the set.

How to construct a box and whisker plot by hand:

0 thoughts on “Quartiles And Box Plots Common Core Algebra 1 Homework Help”

    -->

Leave a Comment

Your email address will not be published. Required fields are marked *