Statistics
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Vocabulary
- Determine definitions of probability & statistics vocabulary, fill in the blank
- Determine definitions of data collection & distribution vocabulary, fill in the blank
- Identify definition of mean, median, mode, or range
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Sampling, Simulations, & Statistical Experiments
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Samples & Populations
- Identify samples & populations
- Identify biased samples & questions
- Identify statistical questions
- Identify variables of interest
- Identify statistical inferences
- Condensed: Identify samples, populations, variables of interest, & statistical inferences
- Determine sample size, various representations
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Sampling Methods
- Identify experiments & observational studies
- Identify systematic, cluster, stratified, & simple random samples
- Determine unit of measurement for data, various representations
- Determine collection method, distribution shape, & unit of measure for data
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Simulations
- Identify simulations used to acquire simple random samples
- Identify simulations to model probability events
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Categorical & Numerical, Counted & Measured
- Determine whether data is categorical or numerical
- Determine whether data was counted or measured
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Graphical Displays of Data
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Bar Graphs
- Determine or interpret percentage bar graphs
- Solve problems involving bar graphs
- Solve one-step problems from bar graphs, real-world context
- Solve one-step problems from double bar graphs, real-world context
- Solve multi-step problems from bar graphs, real-world context
- Solve multi-step problems from double bar graphs, real-world context
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Histograms
- Solve problems involving interpretation of histograms
- Given various representations of data, determine histogram
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Box Plots
- Given boxplot, determine values from five-number summary
- Solve problems involving interpretation of box plots
- Solve problems involving five-number summary
- Condensed: Determine five-number summary, including box plots
- Solve problems involving interpretation of stacked box plots, real-world context
- Determine characteristics of boxplots
- Determine five-number summary
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Stem-&-Leaf Plots
- Given data, identify stem-and-leaf plot
- Determine mean, median, mode, & range from stem-&-leaf plots
- Determine mean, median, mode, or range from stem-&-leaf plots
- Solve one-step problems from stem-and-leaf plots, real-world context
- Solve multi-step problems from stem-and-leaf plots, real-world context
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Pie Charts
- Solve problems involving interpretation of pie charts
- Solve problems involving interpretation of pie charts displayed using fractions, decimals, or percents
- Determine percent of category in pie charts
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Dot Plots
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Single Dot Plot
- Given data represented in various ways, identify dot plot
- Determine equivalent fraction data sets & line plots
- Determine mean from dot plots
- Determine median from dot plots
- Determine mean absolute deviation from dot plots
- Solve problems involving dot plots
- Solve problems involving line plots & fractions
- Solve one-step problems from dot plots, real-world context
- Solve multi-step problems from dot plots, real-world context
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Two Dot Plots
- Determine & compare means from two dot plots
- Determine & compare medians from two dot plots
- Compare mean absolute deviations from two dot plots
- Compare characteristics of side-by-side dot plots
- Determine mean from dot plots
- Determine median from dot plots
- Determine mean absolute deviation from dot plots
- Compare mean absolute deviations from two dot plots
- Determine & compare means from two dot plots
- Determine & compare medians from two dot plots
- Compare characteristics of side-by-side dot plots
- Solve problems involving dot plots
- Solve problems involving line plots & fractions
- Determine equivalent fraction data sets & line plots
- Solve one-step problems from dot plots, real-world context
- Solve multi-step problems from dot plots, real-world context
- Given data represented in various ways, identify dot plot
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Tables
- Given data, identify frequency table or determine missing element of table
- Solve problems from frequency tables, real-world context
- Solve one-step problems from frequency tables, real-world context
- Solve one-step problems from frequency & relative frequency tables, real-world context
- Solve multi-step problems from frequency tables, real-world context
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Translating Data between Graphical Displays
- Given pictograph, determine equivalent bar graph
- Given pictograph, determine equivalent table
- Condensed: Given pictograph, determine equivalent bar graph or table
- Given table, determine equivalent pictograph
- Given table, determine equivalent bar graph
- Given table, determine equivalent bar graph, including double bar graphs
- Condensed: Given table, determine equivalent bar graph or pictograph
- Given bar graph, determine equivalent table
- Given bar graph, determine equivalent pictograph
- Condensed: Given bar graph, determine equivalent table or pictograph
- Condensed: Determine equivalent visual representations of data
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Mixed Graphical Displays
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Given Data, Identify Graphs
- Given data, identify stem-and-leaf plot
- Condensed: Given data, represent with dot plot or stem-and-leaf plot
- Given data, determine statistical display
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Interpret Shapes & Units of Measures
- Determine or interpret shapes & features of graphs
- Determine collection method, distribution shape, & unit of measure for data
- Determine unit of measurement for data, various representations
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Determine or Interpret Measures of Center & Spread
- Determine or interpret measures of center & spread from graphs
- Determine mean, median, mode, or range from various graphs
- Given various representations of data, identify mean, median, mode, & range
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Solve Problems from Graphs
- Compare data from two samples, various representations
- Solve problems involving interpretation of various graphs
- Add, subtract, & multiply fractions in bar graphs, common denominator
- Condensed: Solve one-step problems from various plots, graphs, & tables, real-world context
- Condensed: Solve multi-step problems from various plots, graphs, & tables, real-world context
- Determine sample size, various representations
- Condensed: Solve problems involving interpretation of box plots & stem-&-leaf plots
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Measures of Center & Spread
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Mean, Median, Mode, & Range
- Identify definition of mean, median, mode, or range
- Determine mean, median, mode, & range
- Determine mean, median, mode, or range
- Given mean, median, mode, or range, determine missing value in data set
- Given additional value in data set, determine change in mean, median, mode, or range
- Given mean, median, or range, determine missing or additional value in data set
- Condensed: Determine mean, median, mode, or range, including graphs
- Identify measures of center based on data distribution
- Identify & interpret measures of center
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Measures of Variation
- Given various representations of data, identify outlier
- Determine interquartile range of data
- Determine mean absolute deviation
- Determine mean absolute deviation, real-world context
- Identify measures of variability based on data distribution
- Identify variability in real-world situations
- Identify & interpret measures of variability
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Probability
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Basic Probability
- Determine sample spaces
- Classify probabilities by levels of likelihood
- Determine probabilities of single events
- Determine theoretical probabilities
- Determine theoretical probabilities, fraction answers
- Determine experimental probabilities
- Determine experimental probabilities, fraction answers
- Condensed: Determine experimental & theoretical probabilities
- Condensed: Determine probabilities
- Determine probabilities & complementary probabilities of single events, including visual models
- Determine probabilities & complementary probabilities of single events as fractions, decimals, or percents, including visual models
- Determine probabilities from shaded areas of geometric figures, real-world context
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Conditional Probability
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Addition Rule
- Given visual model, determine "or" probability
- Given visual model, determine "or" probability as fraction, decimal, or percent
- Determine "or" probabilities as fractions
- Determine "or" probabilities as fractions, decimals, or percents
- Determine "or" probabilities
- Determine "or" probabilities
- Determine "or" probabilities, including "and" situations
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Multiplication Rule
- Determine sample spaces, compound events
- Given visual model, determine "and" probability as fraction, decimal, or percent, dependent events
- Determine probabilities of flipping coins specified number of times
- Determine probabilities of flipping coins & rolling die
- Determine "and" probabilities, independent events, visuals provided
- Determine "and" probabilities, independent events, same sample space
- Determine "and" probabilities, independent events, two distinct sample spaces
- Determine "and" probabilities, dependent events, multiple choice
- Determine "and" probabilities, dependent events
- Determine "and" probabilities, independent & dependent events
- Determine "and" probabilities, independent & dependent events, including complementary events
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Predictions
- Determine predicted values or compare likelihood of events
- Determine predicted values, theoretical probability
- Determine predicted values, theoretical probability, compound events
- Determine predicted values, experimental probability
- Determine predicted values, experimental probability, compound events
- Determine predicted values, experimental or theoretical probability
- Determine expected value & identify conclusion
- Determine inferences from samples
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Odds
- Determine odds
- Determine probabilities & odds, including visual models
- Determine equivalent probabilities & odds
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Fundamental Counting Principle
- Determine size of sample spaces, compound events
- Determine number of combinations using fundamental counting principle, including repeated letters & digits, real-world context
- Determine number of combinations using fundamental counting principle, real-world context
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Permutations
- Given visual model, determine permutations, specified items predetermined
- Determine permutation of letters in word, distinct letters
- Determine permutations, one nondistinct item, real-world context
- Determine permutations, multiple nondistinct items, real-world context
- Determine permutation of letters in word, nondistinct letters
- Condensed: Determine permutation of letters in word, including nondistinct letters
- Determine permutations using all items, real-world context
- Determine permutations, real-world context
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Combinations
- Given lists, determine combinations, choose from one list, real-world context
- Given lists, determine combinations, choose from two lists, real-world context
- Determine combinations, real-world context
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Permutations & Combinations
- Determine combinations & permutations, two questions, real-world context
- Determine combinations & permutations, four questions, real-world context
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Correlation & Regression
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Two-Way Frequency Tables
- Determine two-way frequency tables
- Given two-way frequency tables, identify associations
- Interpret two-way frequency tables, conditional distribution
- Interpret two-way frequency tables, joint distribution
- Interpret two-way frequency tables, marginal distribution
- Condensed: Interpret two-way frequency tables
- Determine specified probabilities in two-way frequency tables
- Determine conditional probabilities from two-way frequency tables
- Determine conditional probabilities, including two-way frequency tables
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Scatter Plots
- Given data, determine scatter plot
- Identify equivalent representations of data in tables & scatter plots
- Given graph of linear points, identify table, real-world context
- Identify outliers in scatter plots
- Identify scatterplots with clustered data
- Condensed: Interpret scatter plots
- Solve one-step problems from scatter plots, real-world context
- Solve multi-step problems from scatter plots, real-world context
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Lines of Best Fit
- Sketch line of best fit & determine equation, graph scales of one
- Sketch line of best fit & determine equation, various graph scales
- Sketch line of best fit & determine equation, real-world context
- Sketch line of best fit
- Sketch line of best fit & determine predicted value
- Condensed: Sketch line of best fit & determine equation
- Determine residuals
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Correlation
- Identify correlation & causation
- Identify association & causation
- Identify positive & negative correlations in scatter plots
- Identify linear & nonlinear associations in scatter plots
- Given table, determine & interpret correlation coefficient
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Regression Equations
- Determine linear regression equations, calculator expected
- Determine exponential regression equations, calculator expected
- Determine quadratic regression equations, calculator expected
- Given table, identify as linear, quadratic, or exponential
- Condensed: Determine linear, quadratic, or exponential equations, calculator expected
- Given regression equation, determine predicted value
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Normal Distributions
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Descriptive & Inferential Statistics
- Identify descriptive & inferential statistics
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Determine z-Score & Probability
- Given z-score, determine probability
- Given mean & standard deviation, determine z-score, real-world context
- Given mean, determine z-score & probability, real-world context
- Given proportion, determine z-score & probability, real-world context
- Condensed: Given mean or proportion, determine z-score & probability, real-world context
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Confidence Intervals
- Determine margin of error for confidence interval
- Given sample data, estimate population mean using confidence intervals
- Given sample data, estimate population proportion using confidence intervals
- Condensed: Given sample data, estimate population proportion or mean using confidence intervals
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Determine Test Statistic or Hypotheses, One Mean or Proportion
- Determine test statistics, one mean
- Determine test statistics, one proportion
- Condensed: Determine test statistics, one mean or proportion
- Identify hypotheses for hypothesis test, one mean
- Identify hypotheses for hypothesis test, one proportion
- Condensed: Identify hypotheses for hypothesis test, one mean or proportion
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Determine Test Statistic or Hypotheses, Two Means or Proportions
- Determine test statistics, two means
- Determine test statistics, two proportions
- Condensed: Determine test statistics, two means or proportions
- Identify hypotheses for hypothesis test, two means
- Identify hypotheses for hypothesis test, two proportions
- Condensed: Identify hypotheses for hypothesis test, two means or proportions
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Steps in Hypothesis Testing, One Mean or Proportion
- Identify & determine hypothesis test steps, one mean
- Identify & determine hypothesis test steps, one proportion
- Condensed: Identify & determine hypothesis test steps, one mean or proportion
- Determine critical z-score & p-value
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Steps in Hypothesis Testing, Two Means or Proportions
- Identify & determine hypothesis test steps, two means
- Identify & determine hypothesis test steps, two proportions
- Condensed: Identify & determine hypothesis test steps, two means or proportions
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Determine Conclusions
- Determine conclusion from statistical summaries
- Given critical z-score & test statistic, determine conclusion for null hypothesis
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