MA19.8A.41

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.41
Use mathematical and statistical reasoning with bivariate categorical data in order to draw conclusions and assess risk. [Algebra I with Probability, 32]

Unpacked Content

Knowledge

Students know:

Techniques to construct two-way frequency tables.
Key features of bivariate categorical data.
Strategies for drawing conclusions.
Strategies for assessing risk.

Skills

Students are able to:

Accurately construct a two-way frequency table.
Draw conclusions from the data.
Assess risk from the data.

Understanding

Students understand that:

Mathematical and statistical reasoning about data can be used to evaluate conclusions and assess risks.

Vocabulary

Bivariate categorical data
Conclusions
Risks
Line of best fit
Association
Trend
qualitative literacy
Categorical data

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.

MA19.8A.41 Use mathematical and statistical reasoning with bivariate categorical data in order to draw conclusions and assess risk. [Algebra I with Probability, 32]