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# Blue Series

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Math Mammoth Statistics & Probability is a worktext covering statistics and probability topics for grades 6 and 7 Being a worktext, the book contains BOTH the instructions and exercises. The statistics lessons in the first section are for about 6th grade level, starting with the lesson Understanding Distributions. The concept of distribution is a fundamental theme in the study of statistics, and is basically how the data is distributed. The distribution can be described by its center, spread, and overall shape. Two major concepts when summarizing and analyzing distributions are its center and its variability. First we study the center, in the lessons about mean, median, and mode. Students not only learn to calculate these values, but also relate the choice of measures of center to the shape of the data distribution and the type of data. Next, we study measures of variation, starting with range and interquartile range. Students use these measures in the following lesson, as they both read and draw boxplots. The lesson Mean Absolute Deviation introduces students to this measure of variation. It takes many calculations, and the lesson gives instructions on how to calculate it using a spreadsheet program. Next, students learn to make histograms. They will also continue summarizing distributions by describing their shape, and giving a measure of center and a measure of variability. The next focus area of the book is random sampling. Students learn that sampling methods vary and that random sampling is likely to produce an unbiased sample. Students will also practice making inferences about populations based on several random samples. Another major topic is comparing two populations, either directly or by using samples from the populations. Students learn to use the overall distributions and the measures of center and variability to compare two sets of data in various ways. The next section deals with probability. We start with the concept of simple (classic) probability. Students calculate probabilities that involve common experiments, to include flipping a coin, tossing dice, picking marbles, and spinning a spinner. In the next lesson, Experimental Probability, students conduct experiments, record the outcomes, and calculate both the theoretical and experimental probabilities of events, in order to compare the two. They will draw a card from a deck or roll a die hundreds of times. Lastly, we study simulations and the probability of compound events.

### Details

Publication Date
Nov 19, 2010
Language
English
Category
Education & Language
Contributors
By (author): Maria Miller

### Specifications

Pages
135
Binding
Paperback
Interior Color
Color
Dimensions
US Letter (8.5 x 11 in / 216 x 279 mm)