Math Mammoth Statistics & Probability

100 pages
(includes answers)

Sample pages (PDF)
Contents
Making Bar Graphs
Reading Line Graphs
Mean and Mode in Bar Graphs
Using Mean, Median, and Mode
Compound Probability

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Prices & ordering

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Math Mammoth Statistics & Probability book is a worktext with instruction and exercises, meant for grades 5-7.

The PDF version of this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Adobe Reader version 9 or greater.

The book starts with the easiest topics, such as reading different graphs. These lessons are meant for 5th grade. Some are useful even in earlier grades. Then we study histograms and various kinds of line graphs, including how to draw them.

The next section deals with mean, median, and mode—the three measures of central tendency—how to use them, and how these concepts relate to line and bar graphs. When calculator use is allowed in the problem, it is marked with a little calculator symbol.

To create circle graphs, the student needs to calculate percentages, and it is assumed here that the student has already mastered how to calculate those. The lesson on data analysis presents various types of graphs for students to read, and reviews some other percent-related topics.

Then students learn how to make stem-and-leaf plots. Stem-and-leaf plots are simple plots that can be used with 15-100 data items. They are not often seen in media because you cannot use them with large amounts of data.

I decided to omit the topic of making box-and-whiskers plots (boxplots) though that is listed in some standards and is covered in some math curricula, because interpreting and using them is really beyond the knowledge of middle school students. They are not that common either.

We study range as a simple measure of variance. There exist far better measures of variance, such as the interquartile range, standard deviation, and others, but I feel those are also advanced for middle school. Statistical measures is a vast area of study, and I feel it is not necessary to introduce to students all kinds of measures (such as interquartile range) if all that students could do with it is to calculate it, and not use it in a meaningful way in interpreting data. Interpreting data using statistical measures (such as mean, median, mode, standard deviation, and others) is a skill that requires more in-depth understanding of statistics than what can be covered here.

The book also includes an optional statistics project, in which the student can develop investigative skills.

Probability is a topic that in the past was only taught in high school—for example, I personally encountered it the first time in 12th grade. However, in recent years it has “crept” down the grade levels and many states require probability topics even in elementary school.

We start with the concept of simple (classic) probability, and then expand into probability involving two events. This is all that is needful to master at this point (middle school). The exercises involve tree diagrams, dice, flipping coins, picking marbles, spinning spinners, and probability involving statistics, which are the usual types of situations in the study of probability.

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*BONUS* - SOFT-PAK MATH SOFTWARE

I bet you'd have to agree: this is a steal! You can get Soft-Pak math programs (list price $24.95) for just a small $3.50 s&h fee - just by ordering ANY of my books at Kagi or CurrClick!

* Math Maker, for printable math activities with answer keys
* Math Master, for on screen practice of various math topics
* Math User, for answering the 900 multi-level word problems
* True/False Math Challenger for mastering facts 1-12

NOTE: if you purchase any one of the Math Mammoth bundles at Kagi store, you will get Soft-Pak in the download or included on the CD for FREE.

Soft-Pak may also be purchased at great 75% discount without a Math Mammoth purchase - click here for details.

How and where to order

You can buy Math Mammoth books at:

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  After completing the order at Kagi, you will see the download links on the receipt page. You will also receive an email with download links for each book you bought, or for a zip file for the packages. You click on the links and download the books to your computer's hard drive.

  In case of any problems with the download, you can always email me, and I can email the books to you directly. My contact info will be in the email you receive.

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• Lulu offers printed copies for the Blue, Golden, and Light Blue series books.


• Rainbow Resource carries printed copies for the Light Blue series books, plus Light Blue CDs. You can also find links to Rainbow Resource on the individual product pages on this site.

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By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

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Math Mammoth books are PDF files. You will need Adobe Reader to view them, including if you use a Mac or Linux. You can try other PDF viewers, but they seem to either omit or mess up some of the images.