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A dance student wants to know the favorite type of dance class for students at The Dance Academy. She surveys each student in her ballet class. In which way could the results of her survey be most improved? She could sample an equal number of students in each type of dance class. She could sample a proportional number of students in each type of dance class. She could sample one student in each type of dance class. She could sample one teacher from each type of dance class.

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Answer: (B) She could sample a proportional number of students in each type of dance class.

Step-by-step explanation: 100%

The teacher should sample a proportional number of students in each type of dance class so that it possess all qualities of a good sample.

What is a good sample?

Firstly, the sample should be representative of the population. The teacher's goal is to determine the favorite type of dance class for students. Thus, sample should also consist of students only. This rules out option four. Sample cannot consist of teachers.

Secondly, the sample should be large enough to draw meaningful conclusions from it. This rules out option three. Sampling one student in each type of dance class will not give reliable results.

Third, the sample should be proportional. It will give truly accurate results id each unit or group of the population is fairly represented in the sample. Therefore, option two i.e., sampling a proportional number of students in each type of dance class is the best choice.

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