MA19.A1.32

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.32
Use mathematical and statistical reasoning with bivariate categorical data in order to draw conclusions and assess risk.

Unpacked Content

Knowledge

Students know:

Key features of bivariate categorical data.
Strategies for drawing conclusions.
Strategies for assessing risk.

Skills

Students are able to:

Analyze bivariate categorical data,
Draw conclusions from real-life bivariate categorical data,
Assess risk given real-life bivariate categorical data.

Understanding

Students understand that:

Real-life situations often require drawing conclusions and assessing risk.
Quantitative literacy is important for making informed decisions.

Vocabulary

Quantitative lIteracy
Bivariate data
Categorical data
Risk

COS Examples

Example: In a clinical trial comparing the effectiveness of flu shots A and B, 21 subjects in treatment group A avoided getting the flu while 29 contracted it. In group B, 12 avoided the flu while 13 contracted it. Discuss which flu shot appears to be more effective in reducing the chances of contracting the flu.

Possible answer: Even though more people in group A avoided the flu than in group B, the proportion of people avoiding the flu in group B is greater than the proportion in group A, which suggests that treatment B may be more effective in lowering the risk of getting the flu.

Aligned Learning Resources

Categorical Data Example

MA19.A1.32 Use mathematical and statistical reasoning with bivariate categorical data in order to draw conclusions and assess risk.