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Cogito

Integrated Math 1 · Chapter 8 · Lesson 2

Practice Worksheet

Two-Way Tables

Two categorical variables at once.

12 problems · about 20 minutes · S-ID.B.5

NameDate

Figure — use these to answer the problems

Two groups of different sizes. Convert to proportions before comparing them.
Group 1 yes30
Group 1 no20
Group 2 yes15
Group 2 no5
Group 1 yes30
Group 1 no20
Group 2 yes15
Group 2 no5
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. 9 yes out of 36. What proportion, as a decimal?

    Answer

  2. Why compare proportions rather than counts?

    • The groups may be different sizes.
    • Proportions are easier to compute.

  3. 12 yes out of 48. Proportion as a decimal?

    Answer

  4. Cells 20, 30, 25 and 25. Grand total?

    Answer

  5. A row has 20 yes and 30 no. Row total?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. That row: proportion saying yes, as a decimal?

    Answer

  2. Row proportions 0.5 and 0.5. Is there association? 1 yes, 0 no.

    Answer

  3. Row proportions 0.2 and 0.8. Is there association? 1 yes, 0 no.

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Match each figure with where it comes from.

    Draw a line from each item on the left to its match on the right.

    • Joint count
    • Marginal total
    • Row relative frequency
    • An inner cell of the table
    • A row or column total
    • A cell divided by its row total

  2. 18 yes out of 24. Proportion as a decimal?

    Answer

  3. The Proportion

    30 yes out of 50. What proportion, as a decimal?

    Answer

  4. The Other Row

    15 yes out of 20. What proportion, as a decimal?

    Answer