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}

necessaryh 2020-11-05 Answered

Use the two-way table to create a two-way table that shows the joint and marginal relative frequencies.

\begin{array}{cccc} Class & Gender \\ Male & Female & Total \\ Sophomore & 26 & 54 & 89 \\ Junior & 32 & 48 & 80 \\ Senior & 50 & 55 & 105 \\ Total & 108 & 157 & 265 \end{array}

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Benedict

Answered 2020-11-06 Author has 108 answers

We are given:

\begin{array}{cccc} Male & Female & Total \\ Sophomore & 26 & 54 & 89 \\ Junior & 32 & 48 & 80 \\ Senior & 50 & 55 & 105 \\ Total & 108 & 157 & 265 \end{array}

We divide by 265 and get a two-way table that shows the joint and marginal relative frequencies:

\begin{array}{cccc} Male & Female & Total \\ Sophomore & \frac{26}{265} \approx 0.098 & \frac{54}{265} \approx 0.204 & \frac{89}{265} \approx 0.302 \\ Junior & \frac{32}{265} \approx 0.121 & \frac{48}{265} \approx 0.181 & \frac{80}{265} \approx 0.302 \\ Senior & \frac{50}{265} \approx 0.189 & \frac{55}{265} \approx 0.207 & \frac{105}{265} \approx 0.396 \\ Total & 0.408 & 0.592 & 1 \end{array}

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