Standard 1: Summarize, represent and interpret categorical and numerical data with one and two variables.

General Information
Number: MA.912.DP.1
Title: Summarize, represent and interpret categorical and numerical data with one and two variables.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Data Analysis and Probability

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.912.DP.1.AP.1a
Given a set of data, select an appropriate table or graph to represent categorical data and whether it is univariate or bivariate.
MA.912.DP.1.AP.1b
Given a set of data, select an appropriate table or graph to represent numerical data and whether it is univariate or bivariate.
MA.912.DP.1.AP.2
Given a univariate or bivariate data distribution (numerical or categorical), identify the different components and quantities in the display.
MA.912.DP.1.AP.3
Identify whether the data is explained by correlation or causation in the contexts of both numerical and categorical data.
MA.912.DP.1.AP.4
Given the mean or percentage and the margin of error from a sample survey, identify a population total.

Related Resources

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

Formative Assessments

Sleep and Reading:

Students are asked to interpret a correlation coefficient in context and describe a possible causal relationship.

Type: Formative Assessment

Listing All Possible Causal Relationships:

Students are asked to identify all possible causal relationships between two correlated variables.

Type: Formative Assessment

Does the Drug Cause Diabetes?:

Students are given a statement of association between two variables and are asked to determine if one variable is a cause of the other.

Type: Formative Assessment

Does Studying Pay?:

Students are given a scenario describing an association between two variables and are asked to determine if one variable is a cause of the other.

Type: Formative Assessment

Winning Seasons:

Students are asked to construct a histogram corresponding to a given set of data.

Type: Formative Assessment

Trees in the Park:

Students are asked to construct a box plot corresponding to a given set of data.

Type: Formative Assessment

Flowering Trees:

Students are asked to determine whether each of two given dot plots are consistent with a given histogram.

Type: Formative Assessment

A Tomato Garden:

Students are asked to construct a dot plot corresponding to a given set of data.

Type: Formative Assessment

Lesson Plans

ENSO: Friend or Foe?:

In this activity students will compare El Nino / La Nina Anomaly data and compare the data to hurricane frequency in the Atlantic Basin. The ENSO Anomaly Data has been provided. Students will then research hurricane frequency and compare both data sets. To close the activity, students will need to apply the knowledge learned in the lesson to synthesize and make a prediction in a writing prompt.

Type: Lesson Plan

Where Should I Go to College? :

Students will create and use data displays to determine which college is the right fit for him or her / for hypothetical students. They will justify the data displays they selected, present this information to classmates and write an essay justifying their choice.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Scatter plots, spaghetti, and predicting the future:

Students will construct a scatter plot from given data. They will identify the correlation, sketch an approximate line of fit, and determine an equation for the line of fit. They will explain the meaning of the slope and y-intercept in the context of the data and use the line of fit to interpolate and extrapolate values.

Type: Lesson Plan

Original Student Tutorials

Movies Part 2: What’s the Spread?:

Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

Type: Original Student Tutorial

Movies Part 1: What's the Spread?:

Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Type: Original Student Tutorial

Perspectives Video: Experts

Statistical Sampling Results in setting Legal Catch Rate :

Fish Ecologist, Dean Grubbs, discusses how using statistical sampling can help determine legal catch rates for fish that may be endangered.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Mathematically Modeling Hurricanes:

Entrepreneur and meteorologist Mark Powell discusses the need for statistics in his mathematical modeling program to help better understand hurricanes.

Type: Perspectives Video: Expert

PTSD: Correlation vs Causation:

Jens Foell discusses the link between correlation and causation in PTSD patients.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Histograms Show Trends in Fisheries Data Over Time:

NOAA Fishery management relies on histograms to show patterns and trends over time of fishery data.

Type: Perspectives Video: Expert

The Criminal Brain and Correlation vs. Causation:

Florida State Researcher, Jens Foell, discusses the importance of understanding correlation versus causation when researching personality traits and criminal behavior.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Statistical Inferences and Confidence Intervals :

Florida State University Counseling Psychologist discusses how he uses confidence intervals to make inferences on college students' experiences on campus based on a sample of students.

Type: Perspectives Video: Expert

Perspectives Video: Professional/Enthusiasts

Nestle Waters & Statistical Analysis:

Hydrogeologist from Nestle Waters discusses the importance of statistical tests in monitoring sustainability and in maintaining consistent water quality in bottled water.

Type: Perspectives Video: Professional/Enthusiast

Fishery Independent vs Dependent Sampling Methods for Fishery Management:

NOAA Scientist Doug Devries discusses the differences between fishery independent surveys and fishery independent surveys.  Discussion includes trap sampling as well as camera sampling. Using graphs to show changes in population of red snapper.

Type: Perspectives Video: Professional/Enthusiast

Camera versus Trap Sampling: Improving how NOAA Samples Fish :

Underwater sampling with cameras has made fishery management more accurate for NOAA scientists.

Type: Perspectives Video: Professional/Enthusiast

Sampling Strategies for Ecology Research in the Intertidal Zone:

Will Ryan describes methods for collecting multiple random samples of anemones in coastal marine environments.

Type: Perspectives Video: Professional/Enthusiast

Filtering Noise from a Data Sample:

Safe water? Safe soil? How can we calibrate our equipment to detect small levels of pollutants and ignore other substances in the sample?

Type: Perspectives Video: Professional/Enthusiast

Graphs Help Identify Cost-Effective Sea Turtle Conservation Strategies:

This marine biologist discusses her use of graphical representations to help determine the most cost-effective management strategies for sea turtle conservation.

Type: Perspectives Video: Professional/Enthusiast

Correlation and Causation in a Scientific Study:

Watching this video will cause your critical thinking skills to improve. You might also have a great day, but that's just correlation.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Perspectives Video: Teaching Ideas

Pitfall Trap Classroom Activity:

Patrick Milligan shares a teaching idea for collecting insect samples.

Type: Perspectives Video: Teaching Idea

Ecological Sampling Methods and Population Density:

Dr. David McNutt explains how a simple do-it-yourself quadrat and a transect can be used for ecological sampling to estimate population density in a given area.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Teaching Idea

Text Resource

Sample Size Calculation:

This informational text resource is intended to support reading in the content area. This article describes the important process used when setting up trials for statistical investigation. The article explains each parameter that is needed to calculate the sample size, then provides examples and illustrates the process. This article will enhance an upper level math course's study of statistics after significance levels and basic inferential statistics concepts have been taught.

Type: Text Resource

Student Resources

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

Original Student Tutorials

Movies Part 2: What’s the Spread?:

Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

Type: Original Student Tutorial

Movies Part 1: What's the Spread?:

Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Type: Original Student Tutorial

Perspectives Video: Professional/Enthusiast

Correlation and Causation in a Scientific Study:

Watching this video will cause your critical thinking skills to improve. You might also have a great day, but that's just correlation.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Parent Resources

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

Perspectives Video: Professional/Enthusiast

Correlation and Causation in a Scientific Study:

Watching this video will cause your critical thinking skills to improve. You might also have a great day, but that's just correlation.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast