Question

Which of the following represents a random sample if the population being sampled is students participating in athletics at a local middle school?

choosing ten students that also participate in a music class
choosing ten students from a box that contains the names of the entire group
choosing five students each from seventh and eighth grade
choosing five female students and five male students

Answer 1

choosing ten students from a box that contains the names of the entire group.

This is the only one where everyone has an equal chance of being chosen.

Answer 2

Choosing ten students from a box that contains the names of the entire group

Explanation:

If each and every unit has equal chance of being selected in a sample then it is called Random Sampling. Here choice of sample should be unbiased and independent.

Option (a) is incorrect because here selection of student is not independent as only those students are choosing who also participate in music class.

Option (b) is correct option as selection of students are independent and unbiased. Also here each student has equal chance of being selected in sample.

Option (c) can't be chosen as selection of student is done from particular cluster.

Option (d) is also incorrect as here we put condition of male and female students.