Question

Nikita knows the following information about her food club that has 1111 members: 33 members like neither fruit nor vegetables. 44 members like fruit but not vegetables. 55 members in total like fruit. Can you help Nikita organize the results into a two-way frequency table?

Answer 1

Like vegetable and fruits: 1

Like vegetables but do not like fruit: 3

Do not like vegetable but like fruits: 4

Do not like vegetables and like fruits: 3

Explanation:

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Answer 2

`\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}`

Explanation:

You are given such information:

• food club has 1111 members;
• 33 members like neither fruit nor vegetables;
• 44 members like fruit but not vegetables;
• 55 members in total like fruit.

Then 55 - 44 = 11 members like fruit and vegetables. Thus,

1111 - 55 - 33 = 1023 members like vegetables but not like fruit.

A two-way frequency table will take look

`\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}`