Statistics & Probability

Week 1

Types of Data

• • Categorical data
• • Numerical data
• • Discrete vs. continuous
• • Surveys & questionnaires
• • Frequency tables

Week 2

Bar Graphs & Line Graphs

• • Reading bar graphs
• • Creating bar graphs
• • Double bar graphs
• • Line graphs
• • Identifying trends

Week 3

Histograms & Dot Plots

• • Histograms
• • Frequency intervals
• • Dot plots
• • Shape of distributions
• • Clusters & gaps

Week 4

Circle Graphs & Stem-Leaf

• • Circle graphs
• • Percents in circle graphs
• • Stem-and-leaf plots
• • Back-to-back stem-leaf
• • Choosing the right graph

Week 6

Mean

• • What is the mean?
• • Calculating the mean
• • Mean with larger data sets
• • Effect of outliers on mean
• • Mean in real life

Week 7

Median & Mode

• • Finding the median
• • Median with even data
• • Finding the mode
• • Multiple modes
• • No mode

Week 8

Range & IQR

• • Range
• • Quartiles Q1 & Q3
• • Interquartile range
• • Outliers using IQR
• • Spread vs. center

Week 9

Box Plots

• • Five-number summary
• • Drawing box plots
• • Reading box plots
• • Comparing box plots
• • Outliers on box plots

Week 11

Intro to Probability

• • What is probability?
• • Certain vs. impossible
• • Likely vs. unlikely
• • Probability scale 0–1
• • Simple events

Week 12

Theoretical Probability

• • P(event) = favorable/total
• • Sample space
• • Equally likely outcomes
• • Probability as fraction
• • Complement of an event

Week 13

Experimental Probability

• • Running experiments
• • Recording outcomes
• • Relative frequency
• • Law of large numbers
• • Comparing to theoretical

Week 14

Compound Events

• • AND events
• • OR events
• • Tree diagrams
• • Counting outcomes
• • Organized lists

Week 16

Populations & Samples

• • Population vs. sample
• • Why we use samples
• • Random sampling
• • Biased vs. unbiased
• • Sample size

Week 17

Drawing Conclusions

• • Generalizing from a sample
• • Making predictions
• • Margin of error idea
• • Comparing samples
• • Real-world examples

Week 18

Comparative Statistics

• • Comparing two data sets
• • Comparing means
• • Comparing spreads
• • Double box plots
• • Which group is "better"?

Week 19

Two-Way Tables

• • Creating two-way tables
• • Joint frequency
• • Marginal frequency
• • Relative frequency tables
• • Interpreting associations

Week 21

Reading Scatter Plots

• • What is a scatter plot?
• • Plotting ordered pairs
• • Reading data points
• • Identifying patterns
• • Real-world scatter plots

Week 22

Correlation

• • Positive correlation
• • Negative correlation
• • No correlation
• • Strong vs. weak
• • Correlation ≠ causation

Week 23

Line of Best Fit

• • Drawing a trend line
• • Line of best fit
• • Slope of trend line
• • y-intercept meaning
• • Using the line

Week 24

Making Predictions

• • Interpolation
• • Extrapolation
• • Reliability of predictions
• • Residuals idea
• • Real-world predictions

Week 26

Independent & Dependent Events

• • Independent events
• • Dependent events
• • Multiplying probabilities
• • With vs. without replacement
• • Practice problems

Week 27

Counting Methods

• • Fundamental counting principle
• • Permutations idea
• • Combinations idea
• • Factorial notation
• • Probability with counting

Week 28

Simulations

• • What is a simulation?
• • Designing simulations
• • Using random numbers
• • Running simulations
• • Analyzing results

Week 29

Full Year Review

• • Graphs & data review
• • Measures of center review
• • Probability review
• • Scatter plots review
• • Practice test