Unit 1: Exploring One-Variable Data

-The distribution of measures for individuals within a sample or population describes variation. The value of a statistic varies from sample to sample. How can we determine whether differences between measures represent random variation or meaningful distinctions?

Statistical methods based on probabilistic reasoning provide the basis for shared understandings about variation and about the likelihood that variation between and among measures, samples, and populations is random or meaningful.

Statistical tools allow us to represent and describe patterns in data and to classify departures from patterns. Simulation and probabilistic reasoning allow us to anticipate patterns in data and to determine the likelihood of errors in inference.

Analyze categorical data

Display quantitative data with graphs

Describe quantitative data with numbers

Students will demonstrate mastery by correctly identifying the type of data provided and choosing the most appropriate graph to represent it. They will show they can calculate the five-number summary and use the 1.5 x IQR rule to justify whether a specific value is a mathematical outlier. In a written analysis, they will prove they can describe a distribution in the context of the problem, ensuring they include units of measurement. Finally, they will demonstrate their ability to compare two groups by writing a cohesive paragraph that uses specific statistical values to explain which group has a higher center or a more consistent spread.