Free Printable Chi-square Test worksheets

Start with categorical data and have students distinguish observed counts from expected frequencies before introducing the chi-square calculation. Then model how to select a goodness-of-fit, independence, or homogeneity test, determine degrees of freedom, evaluate statistical significance, and state a conclusion in context.

Useful exercises require students to calculate expected frequencies, compute each category’s contribution to the chi-square statistic, determine degrees of freedom, and interpret the result. Include goodness-of-fit problems and two-way tables for tests of independence and homogeneity so students learn to choose the appropriate procedure.

Students often use percentages instead of counts, calculate expected frequencies incorrectly, choose the wrong degrees of freedom, or confuse statistical significance with practical importance. They may also state only that the null hypothesis is rejected without explaining what the result means for the categorical variables or distribution being studied.

A Wayground chi-square worksheet can be hosted as a digital quiz or distributed as a printable PDF for paper-based calculation and analysis. Every worksheet includes a complete answer key, and teachers can scan or capture completed paper submissions for grading with the Wayground for Teachers app.

A goodness-of-fit test compares one categorical variable’s observed distribution with an expected distribution. A test of independence examines whether two categorical variables are associated within one population, while a test of homogeneity compares the distribution of a categorical variable across multiple populations or groups.

Scaffold introductory work with completed expected-frequency tables and clearly identified test types, then remove supports and introduce more complex real-world datasets. Wayground can create alternate worksheet versions with adjusted spacing, font size, a dyslexia-friendly font, or translation, and digital sessions can provide extended time or reading-mode adjustments.