A seventh grade English Language Arts Teacher wants to order books for all the seventh grade classes. He wants to determine the favorite type of book among the seventh grade students. Which sample would be the most appropriate for this survey?

A. 7 girls in each of his classes
B. Every fifth student in the seventh grade
C. 1 out of 7 students in his middle shool
D. All of the boys in one of his seventh grade classes

The most appropriate sample for the survey to determine the favorite type of book among the 7th grade students is: Option B: Every fifth student in the seventh grade

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.

What is simple random sampling?

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

What is systematic random sampling?

In this type of sampling, starting of the sampling is done randomly, but then rest of the samples are collected by an order. Like for example, first point is selected randomly, then all points are selected that they are equidistant from each other in the population.

Here, the wants to determine the favorite type of book among the seventh grade students.

So, the population (the main group about which information is to be obtained) is seventh grade students.

We've to find the best sampling technique.

One way would be simple random sampling, but it isn't in option.

Since favorite book is to be known about students and not of specific gender, therefore students from all the genders should be surveyed for better information gathering, therefore option A and D are wrong as they suggest only for inspection from 1 gender.

Now, since the survey is to know about the favorite type of book among the seventh grade students, so middle school students won't help here. Thus, Option C is incorrect too.

Option B is actually fine enough as it:

asks about favorite book from sevent grade (sample from intended population)
Doesn't differentiate between genders like in A and D options and just ask every fifth student, without any useless discrimination. ('useless' because we do discrimination in sampling only if it helps get better coverage of population)

This type of sampling is called systematic random sampling, because instead of randomly choosing students, it systematically chooses students.

Thus, the most appropriate sample for the survey to determine the favorite type of book among the 7th grade students is: Option B: Every fifth student in the seventh grade

Learn more about sampling here:

https://brainly.com/question/24842573