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

Answer:

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 $31\times2=62$ 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 $31\times2=62$ but hot dogs are 85.