Mathematics: Statistics

• Standard 1: Problem Solving
• Standard 2: Communication
• Standard 3: Reasoning
• Standard 4: Connections
• Standard 5: Estimation & Computation
• Standard 6: Numeration & Number Theory
• Standard 7: Geometry
• Standard 8: Measurement
• Standard 10: Probability
• Standard 11: Algebra
• Standard 12: Patterns, Relations, Functions
• Introduction to Mathematics
• Table of Contents - All Standards

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Content Standard: Statistics

Students will collect, represent and analyze data to describe, interpret and evaluate patterns and make decisions.

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Fourth Grade Performance Standards: Statistics

By the end of grade Four, students will:

Work with data in the context of real-world situations by

• formulating questions that lead to data collection and analysis
• determining what data to collect and when and how to collect them
• collecting, organizing, and displaying data
• drawing reasonable conclusions based on data

Describe a set of data using

• high and low values, and range
• most frequent value (mode)
• middle value of a set of ordered data (median)

In problem-solving situations, read, extract, and use information presented in graphs, tables, or charts

Determine if future events are more, less, or equally likely, impossible, or certain to occur

Predict outcomes of future events and test predictions using data from a variety of sources

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Eighth Grade Performance Standards: Statistics

By the end of grade Eight, students will:

Work with data in the context of real-world situations by

• formulating questions that lead to data collection and analysis
• designing and conducting a statistical investigation
• using technology to generate displays, summary statistics, and presentations

Organize and display data from statistical investigations using

• appropriate tables, graphs, and/or charts (e.g., circle, bar or line for multiple sets of data)
• appropriate plots (e.g., line, stem-and-leaf, box, scatter)

Extract, interpret, and analyze information from organized and displayed data by using

• frequency and distribution, including mode and range
• central tendencies of data (mean and median)
• indicators of dispersion (e.g., outliers)

Use the results of data analysis to

• make predictions
• develop convincing arguments
• draw conclusions

Compare several sets of data to generate, test, and, as the data dictate, confirm or deny hypotheses

Evaluate presentations and statistical analyses from a variety of sources for

• credibility of the source
• techniques of collection, organization, and presentation of data
• missing or incorrect data
• inferences
• possible sources of bias

Determine the likelihood of occurrence of simple events by

• using a variety of strategies to identify possible outcomes (e.g., lists, tables, tree diagrams)
• conducting an experiment
• designing and conducting simulations
• applying theoretical notions of probability (e.g., that four equally likely events have a 25% chance of happening)

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Grade Level Performance Standards: Grade Six: Statistics

The student will:

Collect and analyze data for a given topic; display results using stem-and-leaf plots and other graphs.

Communicate results of a survey using plots, charts and/or tables.

Find the measures of central tendency for collected data.

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Grade Level Performance Standards: Grade Seven: Statistics

The student will:

Research a topic; display results using plots, charts and graphs.

Interpret statistics to make predictions for weather, sports or other situations.

Find the measures of central tendency for sets of data and describe the statistics.

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Grade Level Performance Standards: Grade Eight: Statistics

The student will:

Collect, analyze and present data for a project using plots, charts and graphs.

Select appropriate scales for data when constructing graphs, charts or diagrams.

Compile frequency tables from data in controlled experiments; compare measures of central tendency.

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Twelfth Grade Performance Standards: Statistics

By the end of grade Twelve, students will:

Work with data in the context of real-world situations by

• formulating hypotheses that lead to collection and analysis of one- and two-variable data
• designing a data collection plan that considers random sampling, control groups, the role of assumptions, etc.
• conducting an investigation based on that plan
• using technology to generate displays, summary statistics, and presentations

Organize and display data from statistical investigations using

• frequency distributions
• percentiles, quartiles, deciles
• line of best fit (estimated regression line)
• matrices

Interpret and analyze information from organized and displayed data when given

• measures of dispersion, including standard deviation and variance
• measures of reliability
• measures of correlation

Analyze, evaluate, and critique the methods and conclusions of statistical experiments reported in journals, magazines, news media, advertising, etc.

Determine the likelihood of occurrence of complex events by

• using a variety of strategies (e.g., combinations) to identify possible outcomes
• conducting an experiment
• designing and conducting simulations
• applying theoretical probability

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