Unit 8

Data Sets and Distributions

Unit Narrative

In this unit, students learn about populations and study variables associated with a population. They begin by classifying questions as either statistical or non-statistical—based on whether variable data is necessary to answer the question. This leads to further investigation into variability and data displays, such as dot plots and histograms. As students visualize data, they begin to describe the distribution of data more precisely as they work with mean and mean absolute deviation (MAD).

After working with those statistics, students begin to recognize that some distributions are not well-suited to...

to access Pre-Unit Assessments.

Section A

Section Goals

Section Narrative

In this section, students collect data about themselves and their classmates, then classify survey questions in two ways. First, they distinguish the questions based on whether the information collected is numerical or categorical data. Then, they determine whether questions are statistical questions or not based on whether data they collect to answer the question shows variability. Students use dot plots...

Let's explore different kinds of data.

Let's look more closely at data and the questions they can help to answer.

to access Section Checkpoints.

Section A

Let's explore different kinds of data.

Let's look more closely at data and the questions they can help to answer.

Section B

Section Goals

Section Narrative

In this section, students focus on describing distributions. In particular, they learn to describe the center and spread of a distribution by using informal language to refer to a typical value for a distribution and how spread out the data are. They add histograms to the ways in which they can represent data, and use the visualization to describe features...

Let’s represent data with dot plots and bar graphs.

Let's investigate what dot plots and bar graphs can tell us.

Let's use dot plots to describe distributions and answer questions.

Let's explore how histograms represent data sets.

Let's draw histograms and use them to answer questions.

Let's describe distributions displayed in histograms.

to access Section Checkpoints.

Section B

Let’s represent data with dot plots and bar graphs.

Let's investigate what dot plots and bar graphs can tell us.

Let's use dot plots to describe distributions and answer questions.

Let's explore how histograms represent data sets.

Let's draw histograms and use them to answer questions.

Let's describe distributions displayed in histograms.

Section C

Section Goals

Section Narrative

In this section, students begin to quantify their understanding of center and spread by finding values for the mean and mean absolute deviation (MAD). The mean is explained as a way of fairly sharing as well as a balance point to give additional intuition into the measure of center.

Then students see that, even with the same mean, distributions can...

Let’s explore the mean of a data set and what it tells us.

Let's look at another way to understand the mean of a data set.

Let's study distances between data points and the mean and see what they tell us.

Let's use mean and MAD to describe and compare distributions.

to access Section Checkpoints.

to access Mid-Unit Assessments.

Section C

Let’s explore the mean of a data set and what it tells us.

Let's look at another way to understand the mean of a data set.

Let's study distances between data points and the mean and see what they tell us.

Let's use mean and MAD to describe and compare distributions.

Section D

Section Goals

Section Narrative

In this section, students add “median,” “range,” and “interquartile range” to their methods of describing a measure of center or measure of variability. They use the symmetry of a distribution to determine whether mean or median is likely to be a better description of the center. Then they explore box plots as a way to visualize a summary of data...

Let's explore the median of a data set and what it tells us.

Let's compare the mean and median of data sets.

Let's look at other measures for describing distributions.

Let's explore how box plots can help us summarize distributions.

Let's use box plots to make comparisons.

to access Section Checkpoints.

Section D

Let's explore the median of a data set and what it tells us.

Let's compare the mean and median of data sets.

Let's look at other measures for describing distributions.

Let's explore how box plots can help us summarize distributions.

Let's use box plots to make comparisons.

Section E

Section Narrative

In this final section, students have the opportunity to apply their thinking from throughout the unit. Because this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions. The lesson in this section is optional because it offers additional opportunities to practice standards that are not a focus of the grade.

Let's compare data sets using visual displays.

to access Section Checkpoints.

Section E

Let's compare data sets using visual displays.

to access End-of-Unit Assessments.

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Data Sets and Distributions

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