A middle school has 6th grade, 7th grade, and 8th grade teachers. The principal wants to determine what supplies to order for the supply closet. Which of the following represents a random sample of teachers?
a. Surveying all the math teachers
b. Surveying all the teachers who have bus duty
c. Surveying all the teachers who are married
d. Surveying every fifth teacher according to the staff directory on the school website
d. Surveying every fifth teacher according to the staff directory on the school website. This would ensure that a random selection of teachers from all three grade levels and subject areas are included in the sample.
Asking 20 students from each grade level would be a good, representative sample of the population as it would include students from all grade levels and potentially different backgrounds. It also ensures a large enough sample size to account for individual preferences and variations within the population.
A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?
Asking all the 10th graders in the school
Asking the school principal which type of pizza he perfers
Asking 20 students from each grade level
Asking the students who walk to school
the bot is right for both questions istg
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To determine a random sample of teachers, we want to select a group of teachers that represents the entire population of teachers in a fair and unbiased manner. A random sample ensures that each teacher has an equal chance of being selected.
Option a. Surveying all the math teachers: This option does not represent a random sample because it focuses only on math teachers and ignores teachers from other subject areas.
Option b. Surveying all the teachers who have bus duty: This option also does not represent a random sample as it only includes teachers with bus duty and excludes those who do not have bus duty.
Option c. Surveying all the teachers who are married: This option is not a random sample since it is based on the marital status of the teachers rather than considering all teachers equally.
Option d. Surveying every fifth teacher according to the staff directory on the school website: This option represents a random sample as it uses a systematic sampling method. By selecting every fifth teacher according to the staff directory, it ensures that each teacher has an equal chance of being included in the sample.
Therefore, option d (Surveying every fifth teacher) represents a random sample of teachers.