Two-Way Tables Statistics Example 3

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Example 3

medium
A two-way table shows transport to school: Walk (Year 7: 30, Year 8: 20), Bus (Year 7: 15, Year 8: 25), Car (Year 7: 5, Year 8: 10). What percentage of Year 8 students take the bus?

Solution

  1. 1
    Step 1: Total Year 8 students: 20+25+10=5520 + 25 + 10 = 55.
  2. 2
    Step 2: Percentage of Year 8 who take bus: 2555×100≈45.5%\frac{25}{55} \times 100 \approx 45.5\%.

Answer

Approximately 45.5% of Year 8 students take the bus to school.
To find a conditional percentage from a two-way table, divide the cell frequency by the row or column total (depending on the condition), then multiply by 100. This shows the distribution within a specific subgroup.

About Two-Way Tables

A two-way table (contingency table) displays the frequency of data categorized by two different categorical variables simultaneously, with one variable in rows and the other in columns, allowing comparison of distributions across groups.

Learn more about Two-Way Tables →

More Two-Way Tables Examples

Example 1 easy

A survey of 60 students recorded their gender and whether they prefer cats or dogs. Boys who prefer

Example 2 medium

From the two-way table: Passed exam — studied (40), didn't study (10); Failed exam — studied (5), di

Example 4 hard

A two-way table shows exercise frequency and health rating for 200 adults: Exercise regularly — Good

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