Analyzing Statistical Studies

In the lesson, students sort various sampling methods and consider the strengths and weaknesses of each type.

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​Sampling Methods

Simple random sample

​Systematic random sample

Stratified random sample

Cluster random sample

Convenience sample
Volunteer sample

​Vocabulary

A completely random method like a random number generator is used to select from the entire population.

​Simple random sample

Members of the population are put in order and a starting point is selected at random. After that, every n-th member of the population is selected

​Systematic random sample

Members of the population are grouped and then a certain number of members of each group are randomly selected.
(It is Homogenous)

​Stratified random sample

Members of the population are grouped and then the groups are randomly selected. Each member of the selected group participates.
(It is Heterogenous)

​Cluster random sample

Anyone in the population can join the sample.

​Volunteer sample

Anyone who happens to be available is selected.

​Convenience sample

​There are lots of different ways that a sample can be chosen from a population. Your teacher will be giving you a set of scenarios that show different ways to take a sample.



Sort the scenarios into categories and be prepared to describe each category

​Student Activity - 20mins

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You decide to put the name of each student in the school into a big bowl. You draw 100 names and ask those students to respond to a survey about their preferred activities.

• Simple random sample

• Systematic random sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You assign each student in the school a number. You randomly select a starting number among the first 10 numbers and then select every tenth student in the list from that point forward

• Simple random sample

• Systematic random sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You get the list of all the homeroom classes and randomly select 5 classes. You go to each of the classes selected and survey all the students in that class

• Simple random sample

• Systematic random sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You use the rolls from each homeroom class. You go through each homeroom class, drawing 2 names from each class. You ask those students to respond to a survey about the activities they prefer

• Simple random sample

• Systematic random sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You stand in the cafeteria during your lunch break and ask students if they would be willing to participate in your survey as they walk by.

• Simple random sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are in charge of school activities. You want to know what activities students would prefer to participate in during the school year. You make a lot of copies of the survey about the activities

that students prefer and you put them on a table outside the cafeteria.

Students can choose to take the survey and drop their responses into a big box on the table.

• Volunteer sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You are interested in finding out the percent of residents in the city that have experienced a robbery in the past year. Using the city property records, you assign each residence a number. You use a random number generator to give you a list of numbers. You look up the police reports for each residence selected.

• Simple random sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

You want to know the average number of hours that high school seniors spend playing video games in your state. You randomly select 20 high schools in the state and then ask all the seniors at each of the 20 high schools about their video game habits

• Simple random sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

An auto analyst is conducting a satisfaction survey, sampling from a list 10,000 of new car buyers.

The list includes 2,500 Ford, 2,500 GM, 2,500 Honda, and 2,500 Toyota buyers.

The analyst selects a sample of 400 car buyers by randomly sampling 100 buyers of each brand

• Simple random sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

A shopping mall management company would like to know the average amount shoppers spend during their visit. They post two survey takers near one of the exits who ask shoppers to tell them what they spent as they leave the mall

• Simple random sample

• Convenience sample

• Stratified random sample

• Cluster random sample

Multiple Choice

A restaurant owner wants to find out the average number of dishes ordered at each table served on Friday evenings, their busiest time. She decides to collect and analyze every fifth receipt of the night, starting at 6:00 p.m

• Simple random sample

• Systematic random sample

• Stratified random sample

• Cluster random sample

​Advantages/Disadvantages

Simple random samples are the easiest to design.

Cluster sampling is easier to sample large groups of people without locating individuals.


Stratified sampling can help guarantee that a sample is more representative of the population.

​Advantages/Disadvantages

Systematic sampling can be more efficient than a simple random sample to select the people or items used.

Convenience samples make finding people for the surveys easy but will give a biased sample.

The voluntary response is also a simple way to collect people for the survey, but may also result in a biased sample

​Exit Ticket

Fill in the Blank

Mention 3 types of Random sampling methods

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Fill in the Blank

Mention 3 types of Non- Random sampling methods

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