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Statistics

VIEW ALL SKILLS

  • 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
  • Sampling, Simulations, & Statistical Experiments
    • 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
    • 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
    • Simulations
      • Identify simulations used to acquire simple random samples
      • Identify simulations to model probability events
    • Categorical & Numerical, Counted & Measured
      • Determine whether data is categorical or numerical
      • Determine whether data was counted or measured
  • Graphical Displays of Data
    • 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
    • Histograms
      • Solve problems involving interpretation of histograms
      • Given various representations of data, determine histogram
    • 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
    • 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
    • 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
    • Dot Plots
      • 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
      • 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
    • 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
    • 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
    • Mixed Graphical Displays
      • 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
      • 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
      • 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
      • 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
  • Measures of Center & Spread
    • 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
    • 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
  • Probability
    • 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
    • Conditional Probability
      • 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
      • 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
    • 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
    • Odds
      • Determine odds
      • Determine probabilities & odds, including visual models
      • Determine equivalent probabilities & odds
    • 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
    • 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
    • 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
    • Permutations & Combinations
      • Determine combinations & permutations, two questions, real-world context
      • Determine combinations & permutations, four questions, real-world context
  • Correlation & Regression
    • 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
    • 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
    • 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
    • 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
    • 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
  • Normal Distributions
    • Descriptive & Inferential Statistics
      • Identify descriptive & inferential statistics
    • 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
    • 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
    • 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
    • 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
    • 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
    • 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
    • Determine Conclusions
      • Determine conclusion from statistical summaries
      • Given critical z-score & test statistic, determine conclusion for null hypothesis