Exploring Random Sampling

Green Valley Middle School conducted a survey of 125 random students asking them how much time they spend each night on homework. Is this a biased sample or unbiased sample?

• Biased Sample

• Unbiased Sample

A middle school surveyed random students to find out which elective the students want to take next year. The results are shown here. How many total students were surveyed?

• 20

• 40

• 14

• 6

A high school is going to have a party for their graduating seniors. They want to serve food that most of the seniors like. They pick 25 random names from a hat and survey those students. Is this a biased sample or unbiased sample?

• Biased Sample

• Unbiased Sample

Imagine you're a detective named Lucas at your school, tasked with uncovering the most beloved subject among students. You cleverly assign each student a unique number and then, with the help of a magical random number generator, you select 50 students including Laylaah, Finley, and Parker for your top-secret mission.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

Simple Random Sampling involves selecting a random sample from the entire population without any specific criteria. In this case, Lucas used a random number generator to select students, making it a simple random sampling method.

Imagine you're Rory, a curious student studying traffic patterns at a bustling intersection. Every 5th minute during rush hour, you jot down the flow of cars and bikes. It's a fun challenge to predict the next wave!

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

Systematic Random Sampling involves selecting every kth element from a list, making it suitable for capturing patterns like traffic flow at regular intervals, as Rory does every 5th minute.

To spice up our understanding of the popularity of various extracurricular activities, imagine Devan, Jax, and Abby are leading a fun school project. They decide to categorize students by their favorite activity and then randomly pick participants from each category for a survey.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

Stratified Random Sampling involves categorizing the population into subgroups based on certain characteristics, then randomly selecting samples from each subgroup. This method is suitable for the scenario where students are categorized by their favorite activity.

Imagine you're on a quest to uncover the secrets of library visits among students. Armed with a clipboard and a keen eye, you decide to chat with every 3rd student—like Brenden, Lucas, or Lea—who checks out a book from the library.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

Systematic Random Sampling involves selecting every kth element from a list after an initial random start. In this case, every 3rd student is chosen, making it the correct method for the scenario described.

Imagine you're assisting Brodie in managing the busy lunch crowd at a popular campus cafeteria. To enhance customer service, you decide to measure the waiting times. Every 5th student who steps through the cafeteria doors during the peak lunch hours gets their waiting time recorded. What type of sampling method are you using?

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

The sampling method being used is Systematic Random Sampling because every 5th student is selected in an organized manner, ensuring a systematic approach to data collection.

Imagine you're at a bustling sneaker convention, buzzing with excitement over the latest Air Jordan releases. As you mingle with the crowd, you, along with Samantha and Lucas, decide to find out which Air Jordan sneakers are the crowd favorites. To keep it fun and fair, you decide to ask every 15th attendee entering the convention center. What type of sampling method are you using?

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

The sampling method being used is Systematic Random Sampling because every 15th attendee entering the convention center is selected in an organized manner.

Imagine you're part of a dynamic research team with Lorenzo, Mason, and Christopher, and you're tasked with uncovering the spending patterns of Tim Hortons enthusiasts across Canada. To get a comprehensive view, you decide to categorize the population by provinces like Ontario and Alberta, then randomly pick customers from each province for your analysis.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Random Sampling

Answer explanation

Stratified Random Sampling involves dividing the population into subgroups (provinces) and then randomly selecting samples from each subgroup, making it the correct choice for analyzing spending patterns across different provinces like Ontario and Alberta.