Worksheet: Types of Sampling

In this worksheet, we will practice simple random sampling, stratified sampling, and cluster sampling.

Q1:

Which type of random sample is used for selecting a sample from one strata of society?

• A simple random sample
• Bstratified random sample

Q2:

In what sort of sampling does the researcher divide the population into separate groups called strata, then draw a probability sample from each group?

• Asystematic sampling
• Bsimple random sampling
• Cstratified sampling
• Dcluster sampling
• Emultistage sampling

Q3:

Which type of random sample should be used to determine the subject preferences of a group of 400 students given the ratio of males to females is ?

• Astratified random sample
• Bsimple random sample

Q4:

Which type of random sample can be used to study the level of qualifications in a society divided into lower class, middle class and upper class?

• A simple random sample
• Bstratified random sample

Q5:

For a school project, three students need to produce a sample of students at their school. Which of the following methods leads to a random sample?

• ACalling for volunteers at the school assembly
• BWriting the names of all students they know in a list
• CAsking each of their friends to name three further friends
• DCalling for volunteers via social media
• ENumbering all the students and produce the sample from a random list of numbers

Q6:

A third-grade and a fifth-grade teacher looked at the number of words per sentence in the texts written by their respective students. Two random samples were generated from their data, as shown in the diagram.

Is it possible to decide from which data set each sample has been generated?

• AYes
• BNo

Sample I was generated from third-grade students and sample II from fifth-grade students. Do you think these samples could be used to compare the average number of words per sentence of the two populations they are extracted from?

• ANo
• BYes

Q7:

Olivia goes to a large high school. She is doing a survey on how the students in grade 10 use their money. She asks 30 students, selected at random from grade 10, how much they spend per month on clothes.

What is the population being investigated?

• Aall high school students
• Bstudents in grade 10 in Olivia’s school
• C30 students in grade 10
• Dstudents in Olivia’s class
• Estudents in Olivia’s school

Q8:

Three different toys are stored in a warehouse. There are 15,000 toys in total and the number of each is shown in the table.

 Kind of Toys Number of Toys Bears Dolls Cars 2,000 6,000 7,000

A stratified sample of all the toys is taken and 420 cars are selected. Calculate the total number of toys in the sample.