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Statistics CompetenciesDescription of Competency
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Mathematics
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Statistics
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Mathematical PracticesExplain and justify reasoning when solving mathematical problems.
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Mathematical Practices Indicator 1Make sense of problems and persevere in solving them.
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Mathematical Practices Indicator 2Reason abstractly and quantitatively.
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Mathematical Practices Indicator 3Construct viable arguments and critique the reasoning of others.
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Mathematical Practices Indicator 4Model with mathematics.
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Mathematical Practices Indicator 5Use appropriate tools strategically.
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Mathematical Practices Indicator 6Attend to precision.
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Mathematical Practices Indicator 7Look for and make use of structure.
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Mathematical Practices Indicator 8Look for and express regularity in repeated reasoning.
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Data Analysis, Probability, & StatisticsAnalyze tables, graphs, and data distributions to observe, anticipate, and predict patterns and relationships.
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Data Analysis, Probability, & Statistics Indicator 1
Explore bivariate data
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Data Analysis, Probability, & Statistics Indicator 2
Explore categorical data
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Data Analysis, Probability, & Statistics Indicator 3
Decipher methods of data collection
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Data Analysis, Probability, & Statistics Indicator 4
Summarize distributions of univariate data
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Data Analysis, Probability, & Statistics Indicator 5
Compare distributions of univariate data (dot plots, stem and leaf plots, box plots).
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Data Analysis, Probability, & Statistics Indicator 6
Explain results and types of conclusion that can be drawn from observational studies, experiments and surveys.
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Data Analysis, Probability, & Statistics Indicator 7
Use an estimation (point estimators and confidence intervals) to help make predictions
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Data Collection & ModelingUse statistical inference to design models to collect, represent, and draw conclusions from data.
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Data Collection & Modeling Indicator 1Plan and conduct surveys
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Data Collection & Modeling Indicator 2Construct and interpret graphical displays of distributions of univariate data (dot plot, stem plot, histogram, cumulative frequency plot)
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Data Collection & Modeling Indicator 3Use the normal distribution to help analyze data
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Data Collection & Modeling Indicator 4Use sampling distributions to help analyze data
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Data Collection & Modeling Indicator 5Use different techniques to test of significance
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