AP Statistics Flashcards: Expected Counts in Two-Way Tables
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
What does the numerator of the expected count formula, (row total * column total), represent?
The numerator represents the product of the marginal totals for the specific row and column of interest.
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What does the numerator of the expected count formula, (row total * column total), represent?
The numerator represents the product of the marginal totals for the specific row and column of interest.
What is the formula for calculating an expected count in a two-way table?
The expected count is calculated by the formula: (row total * column total) / table total.
A table total is 1000. The row total for a cell is 250 and the column total is 400. Find the expected count.
The expected count is (250 * 400) / 1000 = 100.
Given a row total of 30, a column total of 40, and a table total of 120, what is the expected count?
The expected count is calculated as (30 * 40) / 120 = 10.
What is an expected count?
An expected count is the calculated frequency for a cell in a two-way table, based on the marginal totals.
What three values are required to calculate the expected count for a single cell?
You need the total for that cell's row, the total for that cell's column, and the overall table total.
A table has a row total of 100, a column total of 50, and a table total of 500. What is the expected count for the cell at the intersection of this row and column?
The expected count is (100 * 50) / 500 = 10.
For what type of data are expected counts calculated in two-way tables?
Expected counts are calculated for two-way tables of categorical data.
If you multiply a cell's row total by its column total, how do you scale the result to find the expected count?
You scale the result by dividing by the overall table total.
In a survey of 200 students, a specific row has a total of 80 and a specific column has a total of 60. Calculate the expected count for the cell where this row and column intersect.
The expected count is (80 * 60) / 200 = 24.