Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
3. Two-Way Tables and Probability
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Exercise 7 Page 688

Divide each joint frequency by the grand total to obtain the joint relative frequencies. Divide each marginal frequency by the grand total to obtain the marginal relative frequencies.

Dominant Hand
Gender Left Right Total
Female 0.048 0.450 0.498
Male 0.104 0.398 0.502
Total 0.152 0.848 1
Practice makes perfect
Consider the two-way table that we are given.
Dominant Hand
Gender Left Right Total
Female 11 104 115
Male 24 92 116
Total 35 196 231

We want to use this table to construct a two-way table that shows the joint and marginal relative frequencies. To do so, we will divide each joint frequency by the grand total to obtain the joint relative frequencies. Similarly, we will divide each marginal frequency by the grand total to obtain the marginal relative frequencies.

Dominant Hand
Gender Left Right Total
Female 11/231 ≈ 0.048 104/231 ≈ 0.450 115/231 ≈ 0.498
Male 24/231 ≈ 0.104 92/231 ≈ 0.398 116/231 ≈ 0.502
Total 35/231 ≈ 0.152 196/231 ≈ 0.848 231/231 ≈ 1