# Use the two-way table to create a two-way table that shows the joint and marginal relative frequencies. begin{array}{c|ccc}text{Class } & text{Gender}

Use the two-way table to create a two-way table that shows the joint and marginal relative frequencies.
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Benedict
We are given:
$\begin{array}{|cccc|}\hline & \text{Male}& \text{Female}& \text{Total}\\ \text{Sophomore}& 26& 54& 89\\ \text{Junior}& 32& 48& 80\\ \text{Senior}& 50& 55& 105\\ \text{Total}& 108& 157& 265\\ \hline\end{array}$
We divide by 265 and get a two-way table that shows the joint and marginal relative frequencies:
$\begin{array}{|cccc|}\hline & \text{Male}& \text{Female}& \text{Total}\\ \text{Sophomore}& \frac{26}{265}\approx 0.098& \frac{54}{265}\approx 0.204& \frac{89}{265}\approx 0.302\\ \text{Junior}& \frac{32}{265}\approx 0.121& \frac{48}{265}\approx 0.181& \frac{80}{265}\approx 0.302\\ \text{Senior}& \frac{50}{265}\approx 0.189& \frac{55}{265}\approx 0.207& \frac{105}{265}\approx 0.396\\ \text{Total}& 0.408& 0.592& 1\\ \hline\end{array}$