Statistics

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 onestep problems from bar graphs, realworld context
 Solve onestep problems from double bar graphs, realworld context
 Solve multistep problems from bar graphs, realworld context
 Solve multistep problems from double bar graphs, realworld context

Histograms
 Solve problems involving interpretation of histograms
 Given various representations of data, determine histogram

Box Plots
 Given boxplot, determine values from fivenumber summary
 Solve problems involving interpretation of box plots
 Solve problems involving fivenumber summary
 Condensed: Determine fivenumber summary, including box plots
 Solve problems involving interpretation of stacked box plots, realworld context
 Determine characteristics of boxplots
 Determine fivenumber summary

Stem&Leaf Plots
 Given data, identify stemandleaf plot
 Determine mean, median, mode, & range from stem&leaf plots
 Determine mean, median, mode, or range from stem&leaf plots
 Solve onestep problems from stemandleaf plots, realworld context
 Solve multistep problems from stemandleaf plots, realworld 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 onestep problems from dot plots, realworld context
 Solve multistep problems from dot plots, realworld 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 sidebyside 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 sidebyside dot plots
 Solve problems involving dot plots
 Solve problems involving line plots & fractions
 Determine equivalent fraction data sets & line plots
 Solve onestep problems from dot plots, realworld context
 Solve multistep problems from dot plots, realworld 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, realworld context
 Solve onestep problems from frequency tables, realworld context
 Solve onestep problems from frequency & relative frequency tables, realworld context
 Solve multistep problems from frequency tables, realworld 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 stemandleaf plot
 Condensed: Given data, represent with dot plot or stemandleaf 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 onestep problems from various plots, graphs, & tables, realworld context
 Condensed: Solve multistep problems from various plots, graphs, & tables, realworld 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, realworld context
 Identify measures of variability based on data distribution
 Identify variability in realworld 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, realworld 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, realworld context
 Determine number of combinations using fundamental counting principle, realworld context

Permutations
 Given visual model, determine permutations, specified items predetermined
 Determine permutation of letters in word, distinct letters
 Determine permutations, one nondistinct item, realworld context
 Determine permutations, multiple nondistinct items, realworld context
 Determine permutation of letters in word, nondistinct letters
 Condensed: Determine permutation of letters in word, including nondistinct letters
 Determine permutations using all items, realworld context
 Determine permutations, realworld context

Combinations
 Given lists, determine combinations, choose from one list, realworld context
 Given lists, determine combinations, choose from two lists, realworld context
 Determine combinations, realworld context

Permutations & Combinations
 Determine combinations & permutations, two questions, realworld context
 Determine combinations & permutations, four questions, realworld context


Correlation & Regression

TwoWay Frequency Tables
 Determine twoway frequency tables
 Given twoway frequency tables, identify associations
 Interpret twoway frequency tables, conditional distribution
 Interpret twoway frequency tables, joint distribution
 Interpret twoway frequency tables, marginal distribution
 Condensed: Interpret twoway frequency tables
 Determine specified probabilities in twoway frequency tables
 Determine conditional probabilities from twoway frequency tables
 Determine conditional probabilities, including twoway 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, realworld context
 Identify outliers in scatter plots
 Identify scatterplots with clustered data
 Condensed: Interpret scatter plots
 Solve onestep problems from scatter plots, realworld context
 Solve multistep problems from scatter plots, realworld 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, realworld 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 zScore & Probability
 Given zscore, determine probability
 Given mean & standard deviation, determine zscore, realworld context
 Given mean, determine zscore & probability, realworld context
 Given proportion, determine zscore & probability, realworld context
 Condensed: Given mean or proportion, determine zscore & probability, realworld 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 zscore & pvalue

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 zscore & test statistic, determine conclusion for null hypothesis
