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# You randomly survey students at your school about what type of books they like to read. The two-way table shows your results. Find and interpret the m

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asked 2021-05-29

You randomly survey students at your school about what type of books they like to read. The two-way table shows your results. Find and interpret the marginal frequencies.

$$\begin{array}{|c|c|}\hline & \text{Fiction} \\ \hline & \text{Likes} & \text{Dislikes} \\ \hline \text{Non Fiction} \\ \hline \text{Likes} & 26 & 22 \\ \hline \text{Dislikes} & 20 & 2 \\ \hline \end{array}$$

## Answers (1)

2021-05-30

Marginal frequency of a category is given by the sum of elements in the row/column corresponding to that category.
The following is two-way table with marginal frequency
$$\begin{array}{|c|c|}\hline & \text{Fiction} \\ \hline & \text{Likes} & \text{Dislikes} \\ \hline \text{Non Fiction} \\ \hline \text{Likes} & 26 & 22 \\ \hline \text{Dislikes} & 20 & 2 \\ \hline \end{array}$$
We observe that: a. 46 students liked fiction whereas 24 disliked fiction.
b. 48 liked non-fiction whereas 22 disliked non-fiction.

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