Basic Definitions & Concepts

• Measures of Center: Mean, Median, Mode
• Measures of Spread: Range, Interquartile Range (IQR), Standard Deviation (basic)
• Percentiles & Quartiles: Q1 (25th percentile), Q2 (median), Q3 (75th percentile)
• Interquartile Range (IQR): Q3 - Q1

Understanding Data Displays

• Reading histograms, dot plots, and box-and-whisker plots
• Identifying skewness (left-skewed, right-skewed, symmetric)
• Understanding how skew affects the mean vs. median

Problem-Solving Skills

• Calculating the Mean: Sum of values divided by count
• Finding the Median: Order values and find the middle (or average of two middles)
• Impact on Mean/Median: Understand how adding/removing values affects them
• Using Frequency Tables: Compute mean/median using grouped data
• Finding Missing Values: Use algebra to solve for missing data when mean/median is known
• Weighted Averages: Account for different group sizes

Advanced Concepts

• Standard Deviation Basics: Higher spread → higher SD
• Transformations: Shifting/scaling data and its effect on SD
• Comparing Distributions: Use mean and median positioning
• Box Plots & Outliers: 1.5 × IQR Rule to find outliers

Key Skills

• Frequency Tables
• Mean, Median, Mode, Range, Standard Deviation
• Box Plot Interpretation