Question

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Jane surveys a random sample of 200 students from her middle school to learn what type of school lunch is preferred. The table below shows the result of the survey:

Lunch Type Sandwich Hot Dog Salad
Number of students 84 85 31

Which of the following inferences can be made based on the data?
A sandwich is the most preferred lunch.
A sandwich is two times more popular than a salad.
Sandwiches and hot dogs are almost equally preferred.
A hot dog is almost two times more popular than a salad.

Answer 1

The inference sandwiches and hot dogs are almost equally preferred can be made based on the data.

Answer 2

Given data is :

Lunch Type Sandwich Hot Dog Salad

Number of students 84 85 31

The total students are =
`84+85+31=200`

The following inferences can be made based on the data:

1. A sandwich is the most preferred lunch. False. A hot dog is most preferred.

2. A sandwich is two times more popular than a salad. False. Two times of salad is
`31*2=62` but sandwiches are 84.

3. Sandwiches and hot dogs are almost equally preferred. True. These both items are almost same in number.

4. A hot dog is almost two times more popular than a salad. False. Two times of salad is
`31*2=62` but hot dogs are 85.