Statistics
Free lessons and practice worksheets for statistics — worked examples, common mistakes, and step-by-step solutions.
- 01Statistics3 min read
Advanced Statistics
Advanced statistics encompasses measures of central tendency, variability, and distribution that describe data sets beyond simple counting. The field includes quartiles, interquartile range (IQR), standard deviation, and statistical inference methods that reveal patterns in numerical data. These tools transform collections of numbers into actionable insights about populations and samples.
- 02Statistics3 min read
Comparing Data Sets
Comparing data sets involves analyzing two or more collections of numerical data to determine differences in their central tendencies and variability. This statistical process examines measures like mean, median, and range to identify which dataset has higher typical values or greater consistency. The comparison requires using the same statistical measures across all datasets to ensure fair analysis.
- 03Statistics4 min read
Mean, Median & Mode
Mean, median, and mode are three measures of central tendency that describe the typical value in a data set. The mean equals the sum of all values divided by the count, the median represents the middle value when data is arranged in order, and the mode identifies the most frequently occurring value. These statistics appear throughout CCSS 6.SP standards as foundational tools for analyzing numerical data.
- 04Statistics3 min read
Representing Data
Data representation transforms collections of numbers, measurements, or categories into visual formats like charts, graphs, and tables. Bar charts display categorical data with rectangular bars whose heights correspond to frequencies, while line graphs connect data points to show changes over time. Frequency tables organize raw data by counting how often each value appears, providing the foundation for creating visual displays.
- 05Statistics3 min read
Spreadsheet Calculations
Spreadsheet calculations use formulas that begin with an equals sign to perform mathematical operations on cell data. These formulas reference specific cells by their column letter and row number coordinates, such as A1 or B3. When cell values change, all dependent formulas automatically recalculate, making spreadsheets powerful tools for dynamic data analysis.
- 06Statistics3 min read
Statistical Investigation
A statistical investigation is a systematic process of forming a question, collecting data, analyzing patterns, and drawing conclusions based on evidence. The process begins with identifying whether a question is statistical (meaning answers will vary) or non-statistical (having a single correct answer). Statistical investigations form the foundation for understanding how data-driven decisions are made across multiple fields.