Random Sampling and Representative Samples

For a class assignment, Tyler will conduct a survey to find out what students like to do after school. He asks the first 10 people he sees in the gymnasium before school what they like to do after school. Which statement correctly explains whether Tyler's sample is a random sample?

• Tyler’s sample is not random because he only asks 10 people

• Tyler’s sample is not random because he asks people in a gymnasium.

• Tyler’s sample is random because he asks the first 10 people he sees.

• Tyler’s sample is random because he asks each person the same question

Andre wants to survey a random sample of the student body in his school to find out which day after school would work best for students to do volunteer work for a local charity. Which sample would best represent the student body?

• asking twenty students waiting in line for lunch

• asking twenty students on their way to the bus after school

• asking one person from the seventh grade daily for twenty days

• asking one person each from twenty different classrooms during the first class period

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?

• Rasheed will win with 192 votes.

• Rasheed will win with 189 more votes than he had in the survey

• Janelle will win with 8 more votes than the second-place finisher, Rasheed.

• Janelle will win with 128 more votes than the second-place finisher, Rasheed

Which statement best describes a random sample of all students in a middle school?

• Of all the students who are on the track team, the first three to finish a race are selected.

• Of all the students who are in the drama club, every third student on the roster is selected.

• Of all the students who complete an assignment, the first, third, and tenth students are selected.

• Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.

The sample represents the population.

Choose the answer that says "Representative Sample"

• Random Sample

• Biased Sample

• Representative Sample

The sample represents the population.

Choose the answer that says "Representative Sample"

• Random Sample

• Biased Sample

• Representative Sample

A student wants to know which type of pizza the students at his middle school prefer. Which option would give a unbiased, representative sample:

• Asking all the students in the hot lunch line.

• Asking 10 random students from each homeroom.

• Asking every other student who gets off a school bus.

• Asking all the 8th graders.

Susan polled 587 people throughout each city in her county.  Each city is the same size.  Is this sample of the residents of cities in the county likely to be biased?

• yes

• no

Patrick polled the first 27 people to attend the WMS band concert.  Is this sample of the concert attendees likely to be representative?

• yes

• no

Lee will conduct a survey at his school. He will select a random sample of students at the school to take the survey. Which sample is the best random sample for Lee to use?

• every other student in the drama club

• every fifth student who enters the school

• every student who rides the same bus as Lee

• every fourth student in Lee’s homeroom class