SLIDES - Sampling Methods

Open Ended

Do Now

In your own words, explain the difference between a population and a sample in statistical studies.

Multiple Choice

A survey company was trying to see if people in a state thought the pollution was too high. Which choice BEST represents the population of interest for the survey?

• A selection of people from each neighborhood in the state.

• A selection of people who live in small towns.

• Every person in the state.

• A selection of people who live in dirty neighborhoods.

Open Ended

In a statistical study, why is it important that we carefully select a smaller group that represents the larger population?

Sentence Stem : Selecting a smaller group that represents the larger population is important because…

Multiple Choice

What is the main difference between stratified sampling and cluster sampling?

• Stratified sampling involves dividing the population into clusters, while cluster sampling involves dividing the population into strata

• Stratified sampling involves taking a sample from each subgroup, while cluster sampling involves taking a sample of clusters

• Stratified sampling is a non-random method, while cluster sampling is a random method

• Stratified sampling is used for small populations, while cluster sampling is used for large populations

Open Ended

Using the Milby student body as the population and each home room class as the clusters (groups), explain how you could select a cluster sample.

Match

Match each of the following situations with the sampling method described.

• A deck of cards is shuffled 10 times and the first 10 cards are drawn.

• You have four captains select teams so that they are pretty evenly balanced, then you choose one of these teams to ask about the latest TikTok dance craze.

• You get home from trick-or-treating and you sort all your candy into piles. You take one of each type except you take two tootsie rolls because there are twice as many of those.

• You are selling popcorn at the state fair and you offer a free taste to every tenth person who walks by your stand.

Simple Random Sampling

Cluster Sampling

Stratified Sampling

Systematic Sampling

• Simple Random Sampling

• Cluster Sampling

• Stratified Sampling

• Systematic Sampling

Open Ended

At a local golf club, there are 50 male members and 30 female members. A representative sample of 10 random male members and 6 random female members is chosen. What sampling method is being used? Think-Pair-Share

Multiple Choice

You assign the students in your class a number and choose 6 numbers from a basket. What sampling method are you using?

• Convenience

• Systematic

• Simple Random

• Cluster

Multiple Choice

Identify sampling method used: Every 200th quart of ice cream off the assembly line is tested for taste & consistency.

• Convenience Sampling

• Simple Random Sample

• Stratified Sampling

• Systematic Sampling

Multiple Choice

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the five closest to her desk.

• simple random

• Self Selected.

• Convenience

• Systematic Random

Multiple Choice

Employees at a website want to select a sample of their users to ask for a donation. They randomly select one of the first 25 users each day and show them a message asking for a donation. They also show the message to every 25th user from that point on.

• Simple random

• Stratified

• Systematic

• Cluster

Match

Match each example with the sampling method to survey 100 employees of a company that has 1000 employees.

• You want to select a simple random sample of 1000 employees of a social media marketing company. You assign a number to every employee in the company database from 1 to 1000, and use a random number generator to select 100 numbers.

• All employees of the company are listed in alphabetical order. From the first 10 numbers, you randomly select a starting point: number 6. From number 6 onwards, every 10th person on the list is selected (6, 16, 26, 36, and so on), and you end up with a sample of 100 people.

• The company has 800 female employees and 200 male employees. You want to ensure that the sample reflects the gender balance of the company, so you sort the population into two strata based on gender. Then you use random sampling on each group, selecting 80 women and 20 men, which gives you a sample representative of 100 people.

• The company has offices in 10 cities across the country (all with roughly the same number of employees in similar roles). Travel to every office to collect your data is unreasonable, so use random sampling to select 3 offices.

Simple Random Sampling

Systematic Sampling

Stratified Sampling

Cluster Sampling

• Simple Random Sampling

• Systematic Sampling

• Stratified Sampling

• Cluster Sampling

Multiple Choice

Marianne wanted to know students' opinion on the new schedule at school. She places all students' names in a container and picks out 20 to survey. 

• Convenience Sampling
• Systematic Sampling
• Random Sampling
• Volunteer response

Multiple Choice

Which of the following is a benefit of using cluster sampling?

• It ensures every member of the population has an equal chance of being selected

• It is more cost-effective and practical for large populations

• It eliminates all forms of bias

• It requires a smaller sample size

Match

Match the following.

• The population being studied is...

• The sample being used is...

• The best math teacher is...

Students in the Volusia County School District.

The students that are interviewed for the study.

Mr. Siedell no question!

• Students in the Volusia County School District.

• The students that are interviewed for the study.

• Mr. Siedell no question!

Multiple Choice

Which of the following surveying methods divides individuals by a shared attribute, then randomly surveys members within each attribute-group?

• Simple random

• Stratified random

• Cluster random

• Strategic Random

Multiple Choice

Identify sampling method used: You are conducting a survey of students in a dorm. You choose your sample by knocking on the door of every 10th room

• Convenience Sampling

• Simple Random Sample

• Stratified Sampling

• Systematic Sampling

Multiple Choice

Why do we randomly select our samples?

• to increase bias
• to reduce bias
• so we don't get the same answers from everyone
• because it's easier