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# Samples and Populations

## Topics

Samples, Populations, statistical process, inner quartile range (IQR), centers of spread, mean, median, mode, mean absolute deviation (MAD), simulations, bar graph, histograms, outlier, random sampling, relative frequency

## Overview of Changes

Major changes Most of the content in Samples and Populations from CMP2’s 8th grade Samples and Populations have been moved to 7th grade.

## Detailed Description of Changes

In CMP2, Samples and Populations was intended to be a capstone unit in Grade 8 for a 3-unit sequence studying statistics and data analysis. It is a 7th grade unit in CMP3, with capstone statistics work in 8th grade included in Thinking with Mathematical Models. Investigations 2 and 3 and the Unit Project found in CMP3 Samples and Populations are similar to the Investigations 2 and 3 in CMP 2 Samples and Populations. Investigation 1 is different from Investigation 2 in CMP2; in CMP3, this Investigation focuses on using a variety of data analysis methods that address using measures of center and measures of spread. The latter measures (range, IQR, and MAD) are introduced in Data About Us but, in this Investigation, students have extensive exposure to what it means to make sense of data distributions using their analyses of variability (vs. center) as a way to compare data sets. Informal introductions to both sample and population are also provided in anticipation of the more formal introduction found in Investigation 2.

This unit supports CCSS standards 7SP1, 7SP2, 7SP3, and 7SP4.

New Investigation Changes in CMP2 Investigations
Investigation 1 Making Sense of Samples Investigation 1, Problems 1.1, 1.2, and 1.3 are new. They extend the understandings of statistics from 6h grade. Problem 1.4 is from adapted from Problem 4.2 from CMP2 Data Distributions.
Investigation 2 Choosing a Sample from a Population Investigation 2 is similar to Investigation 2 in CMP2
Investigation 3 Using Samples to Draw Conclusions Investigation 3 is similar to Investigation 3 of Samples and Populations.