These are the Big Stat Ideas broken into Smaller Pieces! Each of these sets is what I would learn in a given day.
From a Dataset, Draw a Histogram
From a Dataset, Draw a Dotplot
From a Dataset, Draw Stemplot
From a Dataset, Draw a Frequency Polygon
From a Dataset, Draw an Ogive (Cumulative Frequency Distribution)
Recognizing the Shape of a Histogram
Recognizing the Shape of a Distribution with Clusters
Recognizing the Shape of a Distribution with Gaps
Recognizing the Shape of a Dotplot
Recognizing the Shape of a Stemplot (Stem-and-Leaf)
Recognizing the Shape from a Single Data Set
Recognizing the Shape from a Frequency Table
Recognizing the Shape of a Distribution from Context
Constructing a Histogram by Hand
Finding Mean from a DataSet
Finding Median from a DataSet
Finding Median or Mean from Grouped Data
Finding Median or Mean from a Histogram, Dotplot, or Boxplot
The Resistant Median and Not So Resistant Mean: Outliers and Skewness
Weighted Averages
The Lost Measure of Center: Midrange
Transformation Rules for Center
Which to Choose: Mean or Median?
Strange Ratio: Mean/Median and Shape
Standard Deviation by Definition
Transformation Rules for Spread
Calculating Standard Deviation or IQR from Grouped Data
Finding IQR from a Boxplot
Finding IQR from a Summary Table
The Mechanics and Symbols of Deviation
Finding IQR from a Histogram, Stemplot, or Dotplot
Sx to Max or Min to Inform About Shape
Finding the Count or Likelihood of Values within a Center
Finding a Measure of Spread from a Data Set
Summary Tables and Histograms to Determine Outliers
Find the 5-Number Summary from a Data Set
Outliers from a Summary Table
2 Standard Deviations Away
Percentage of Data Within the 5-Number Summary
Distance Between Quartiles and Shape: Symmetric vs. Skewed
Creating a Boxplot from a Data Set
Width of a Quartile, from a Boxplot
Identify the 5-Number Summary from a Boxplot
Finding Percentiles or Percentages from a Boxplot
Outliers from a Cumulative Table or Graph
Finding Q1 from a Cumulative Table or Graph
Finding M from a Cumulative Table or Graph
Finding Q3 from a Cumulative Table or Graph
Finding IQR from a Cumulative Table or Graph
Interpreting Percentiles
Locating Top or Bottom Percentages of a Cumulative Distribution
Construct a Cumulative Table or Graph
From a Cumulative Graph or Table, Find the Domain of Least or Greatest Change
Finding Percentile Rank from a Dotplot or Stemplot
From a Histogram, Compare Median and Mean due to Shape
Histogram Bins-Pitfalls without the Data
(Max-M)/(M-Min) Ratio for Shape
Transforming a Boxplot
Creating a Boxplot with Data and the 5-Number Summary Split
Finding Proportion Above or Below a Certain Value
Steps in Finding an Outlier
Describing a Distribution
TimeSeries-Shapes of Frequencies
TimeSeries-Unusual Characteristics
TimesSeries-Center of Frequencies
TimeSeries-Volatility
Moving Average for Trend
TimeSeries-Calculate Moving Average
TimeSeries-Frequency Polygon vs. Moving Average
Graphing Mistakes
Pros and Cons of Graphical Displays
Boxplots: Comparative and Groups
Histograms: Back-to-Back, Side-by-Side, Comparative
Frequency Polygons
Comparative Dotplots
Back-to-Back Stemplots
Compare Center Within 1 Group of Boxplots
Compare Spread Within 1 Group of Boxplots
Compare Position Within 1 Group of Boxplots
Compare Multiple Groups of Boxplots
Boxplots-Justify by Center
Boxplots-Justify by Spread
Boxplots-Justify by Outliers or Extreme Values
Compare Boxplots After Transforming One Distribution
Comparing 5-Number Summaries
Compare Dotplots
Dotplots-Justify by Center
Dotplots-Justify by Spread
Compare and Contrast Histograms
Compare and Contrast Histograms and Boxplots
Comparing Back-to-Back Stemplots
Comparing Ogives
Compare 2 Sets of Data
Interpreting Population Pyramids
Comparing Timeplots
Characteristics of Probability Density Functions
Analyze the Illustration of a Density Function
Given or Create a Density Curve, Then Estimate the Standard Deviation
Identifying Contextual Situation that are Approx. Normal
Identify the Parameters of a Normal or Standard Normal Model
Selecting Appx. Normal Frequency Tables or Displays
Interpreting Standardized Values and Their Properties
Empirical Rule and Interval of Data
Empirical Rule to Find Area
Chebyshev's Rule-The Empirical Substitute When We Know NOTHING!
Comparing z-scores or Percentiles for Low Outcomes
Compare z-scores or Percentiles for High Outcomes
Add z-scores to Show Better Overall Performance
Use z-scores or Standard Units to Show if a Value is Unusual or Not
From x, Mean, and Standard Deviation, Find Area to the Left
From x, Mean, and Standard Deviation, Find Area to the Right
From x, Mean, and Standard Deviation, Find Area Between Two x-values
Find Union of 2 Tails
Given z, Use Standard Normal Model to Find Area Under the Curve
Select or use a Correctly Drawn, Labeled, & Shaded Normal Model
From Percentiles, Find z
From z-score, Mean and Standard Deviation, Find x
From Percentile, Mean and Standard Deviation, Find x
From a z-score and Summary Table, Find x
From Percentile, Standard Deviation and x, Find Mean
Given Percentile, Mean, and x, Find Standard Deviation
Comparing the 4- x-axis Scales of the Normal Model
Q1 & Q3 on the Normal Model
System of z-score Equations
Creating and Interpreting Normal Probability Plots