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Module 2: Descriptive statistics

Learn
Representing dataFrequency tables & dot plotsCreating a histogramInterpreting a histogram
Practice
Creating dot plotsGet 3 of 4 questions to level up!
Reading dot plots & frequency tablesGet 3 of 4 questions to level up!
Create histogramsGet 3 of 4 questions to level up!
Read histogramsGet 3 of 4 questions to level up!
Learn
Worked example: Creating a box plot (odd number of data points)Worked example: Creating a box plot (even number of data points)Constructing a box plotReading box plotsShapes of distributions
Practice
Creating box plotsGet 3 of 4 questions to level up!
Reading box plotsGet 3 of 4 questions to level up!
Shape of distributionsGet 3 of 4 questions to level up!
Learn
Statistics intro: Mean, median, & modeMean, median, & mode exampleCalculating the meanChoosing the "best" measure of centerMean, median, and mode review
Practice
Mean, median, and modeGet 5 of 7 questions to level up!
Calculating the meanGet 3 of 4 questions to level up!
Calculating the medianGet 3 of 4 questions to level up!
Learn
Comparing means of distributionsMeans and medians of different distributionsImpact on median & mean: removing an outlierImpact on median & mean: increasing an outlierMissing value given the meanMean as the balancing point
Practice
Calculating the mean: data displaysGet 3 of 4 questions to level up!
Calculating the median: data displaysGet 3 of 4 questions to level up!
Missing value given the meanGet 3 of 4 questions to level up!
Learn
Example: Comparing distributionsMean absolute deviation example
Practice
Comparing data distributionsGet 3 of 4 questions to level up!
Comparing center and spreadGet 5 of 7 questions to level up!
Mean absolute deviation (MAD)Get 3 of 4 questions to level up!
Learn
Population standard deviationSample standard deviation and biasThe idea of spread and standard deviationPopulation and sample standard deviation review
Practice
Sample and population standard deviationGet 3 of 4 questions to level up!
Learn
Interquartile range (IQR)Interpreting box plotsJudging outliers in a dataset
Practice
Interquartile range (IQR)Get 3 of 4 questions to level up!
Interpreting quartilesGet 3 of 4 questions to level up!
Identifying outliersGet 3 of 4 questions to level up!
Learn
Comparing distributions with dot plots (example problem)Comparing dot plots, histograms, and box plots
Practice
Comparing distributionsGet 3 of 4 questions to level up!
Comparing data displaysGet 3 of 4 questions to level up!
Learn
Two-way frequency tables and Venn diagramsTwo-way frequency tablesTwo-way relative frequency tables
Practice
Create two-way frequency tablesGet 3 of 4 questions to level up!
Read two-way frequency tablesGet 3 of 4 questions to level up!
Create two-way relative frequency tablesGet 3 of 4 questions to level up!
Read two-way relative frequency tablesGet 3 of 4 questions to level up!
Learn
Interpreting two-way tablesCategorical data exampleAnalyzing trends in categorical dataTwo-way relative frequency tables and associations
Practice
Interpret two-way tablesGet 3 of 4 questions to level up!
Trends in categorical dataGet 3 of 4 questions to level up!
Learn
Constructing a scatter plotExample of direction in scatterplots
Practice
Constructing scatter plotsGet 3 of 4 questions to level up!
Learn
Fitting a line to dataEstimating the line of best fit exerciseEstimating with linear regression (linear models)Interpreting slope of regression lineInterpreting y-intercept in regression model
Learn
Introduction to residuals and least squares regressionCalculating residual exampleIntroduction to residualsResidual plots
Practice
Calculating and interpreting residualsGet 3 of 4 questions to level up!
Residual plotsGet 3 of 4 questions to level up!
Learn
Bivariate relationship linearity, strength and directionPositive and negative associations in scatterplotsExample: Correlation coefficient intuitionCorrelation and causalityCalculating correlation coefficient rCorrelation coefficient review
Practice
Correlation coefficient intuitionGet 3 of 4 questions to level up!

About this unit

"In this module, students reconnect with and deepen their understanding of statistics and probability concepts first introduced in Grades 6, 7, and 8. Students develop a set of tools for understanding and interpreting variability in data, and begin to make more informed decisions from data. They work with data distributions of various shapes, centers, and spreads. Students build on their experience with bivariate quantitative data from Grade 8. This module sets the stage for more extensive work with sampling and inference in later grades." Eureka Math/EngageNY (c) 2015 GreatMinds.org