Question

Statistics

Q1) Provide an example of a continuous variable and discrete variable.

Q2) A school teacher wants to survey students at her elementary school. She surveys 20 students from each grade level. What type of sampling technique she is using?

Q3) Which Method? The mathematics department at a university wishes to administer a survey to
a sample of students taking college algebra. The department is offering 32 sections of college algebra, similar in class size and makeup, with a total of 1280 students. They would like the sample size to be roughly 10% of the population of college algebra students this semester. How might the department obtain a simple random sample? A stratified sample? A cluster sample? Which method do you think is best in this situation? Explain your answer!

Answer 1

Question 1)

Answer)

Discrete variable is the variable which takes the definite exact value and can be counted

For example, number of students in a class

Now, number of students in a class can be 59,60 etc

They cannot be 59.7557 or 60.12344

While

Continuous variable can take any value in the interval

For example height

Height can be 5.9746899 feet or 6.123344 feet etc

2)

When we divide the population into already existing groups and then randomly select the samples from those groups then this type of sampling is called cluster sampling

So sampling used here is cluster