# 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.

 Positive Negative Total 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.)
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.