MA.912.DP.3.3

Given a two-way relative frequency table or segmented bar graph summarizing categorical bivariate data, interpret joint, marginal and conditional relative frequencies in terms of a real-world context.

Examples

Algebra 1 Example: Given the relative frequency table below, the ratio of true positives to false positives can be determined as 7.2 to 4.55, which is about 3 to 2, meaning that a randomly selected person who tests positive for diabetes is about 50% more likely to have diabetes than not have it.

 

 PositiveNegativeTotal
Has diabetes 7.2%1.8%9%
Doesn't have diabetes 4.55%86.45%91%

 

 

 

Clarifications

Clarification 1: Instruction includes problems involving false positive and false negatives.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Data Analysis and Probability
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
1200388: Mathematics for Data and Financial Literacy Honors (Specifically in versions: 2022 and beyond (current))
1200384: Mathematics for Data and Financial Literacy (Specifically in versions: 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

School Start Time:

Students are asked to describe an association between two variables given a table of relative frequencies by column.

Type: Formative Assessment

Conditional Relative Frequency:

Students are asked to use a two-way frequency table to interpret two different conditional relative frequencies.

Type: Formative Assessment

Siblings and Pets:

Students are asked to describe an association between two variables given a table of relative frequencies by row.

Type: Formative Assessment

Original Student Tutorial

Data and Frequencies:

Learn to define, calculate, and interpret marginal frequencies, joint frequencies, and conditional frequencies in the context of the data with this interactive tutorial.

Type: Original Student Tutorial

MFAS Formative Assessments

Conditional Relative Frequency:

Students are asked to use a two-way frequency table to interpret two different conditional relative frequencies.

School Start Time:

Students are asked to describe an association between two variables given a table of relative frequencies by column.

Siblings and Pets:

Students are asked to describe an association between two variables given a table of relative frequencies by row.

Original Student Tutorials Mathematics - Grades 9-12

Data and Frequencies:

Learn to define, calculate, and interpret marginal frequencies, joint frequencies, and conditional frequencies in the context of the data with this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Data and Frequencies:

Learn to define, calculate, and interpret marginal frequencies, joint frequencies, and conditional frequencies in the context of the data with this interactive tutorial.

Type: Original Student Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.