NC Math 3 Final Exam Review

Imagine you are a researcher studying the eating habits of high school students in your city. You have limited time and resources, but you need to gather data that accurately represents the entire high school student population. Below are four sampling methods you are considering.

Which of the following sampling methods would be the most effective for your study, and why?

• You randomly select 200 students from a list of all high school students in the city.

• You divide the students into groups based on their grade level (freshman, sophomore, junior, senior) and then randomly select 50 students from each grade level.

• You randomly select five high schools in the city and survey every student in those schools.

• You survey the students at the high school closest to your home.

Which function does the graph on the left represent?

You are conducting a study to understand the average amount of time college students in your university spend on social media each day. The university has a large and diverse student body, and you want to ensure that your findings are unbiased and accurately represent the entire student population.

Which of the following sampling methods would be the most effective for your study, and why?

• You arrange the student list alphabetically and select every 20th student until you reach 500 students.

• You randomly select five dormitories and survey every student living in those dormitories.

• You divide the students into groups based on their major and then randomly select a proportional number of students from each major.

• You randomly select 500 students from a list of all students enrolled at the university.

• 0.591

• 1.717

• 0.195

• 0.915

• -6

• 6

• 5

• 3

• {-3, -5, 4}

• {-4, 3, 5}

• {3, 4, 5}

• {-5, -4, -3}

• 4

• 2

• 6

• 1

A ​ ​ (a)   is a representative portion of the population from which information is gathered.

• sample
• statistics
• parameter
• population

A politician wanted to survey voters to determine whether to fund a highway construction in a city. To obtain the sample, the politician obtained a complete list of registered voters and assigned a unique number to each individual. Then, a sample was selected based on a list of random numbers generated by a computer program. Which sampling method was used for this study?

• simple random sampling

• systematic random sampling

• stratified sampling

• cluster sampling

• 2

• -2

• 4

• -4