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The principal of a large high school would like to gather the opinions of the student body regarding a possible change to how the school schedule would run. He gathers a sample of $100$ students by selecting a simple random sample of $25$ students from each grade level (freshman, sophomore, junior and senior).

What type of sampling method did the principal use and why might he have decided to use this method?

A

The principal used a systematic random sample because it was the quickest and easiest way to obtain opinions from students at each grade level.

B

The principal selected a convenience sample because he wanted to make sure that the opinions he gathered truly represented the opinions of all students at his school.

C

The principal used block design to ensure that he was able to sample an equal number of students from each grade level.

D

The principal used a cluster sample because he wanted to get opinions from students from each grade level.

E

The principal selected a stratified random sample because he wanted to make sure that opinions from students at each grade level were represented.

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