Summative Assessment
Populations and sampling
Name_____________________________
MAFS Statistics & Probability Cluster 1: MAFS.7.SP.1.1
Use random sampling to draw inferences about a population.
Understand that statistics can be used to gain information about a population by examining a sample of the population;
generalizations about a population from a sample are valid only if the sample is representative of that population.
Understand that random sampling tends to produce representative samples and support valid inferences.
Learning Objectives
 Collect, display, analyze, and compare specific data and determine trends and/or make predictions about a specific
population.
 Use a sample to gain information and make inferences about a population using random and nonrandom sampling.
Multiple Choice: Choose the answer that best describes the statement.
1.
Melvin and a hundred of his friends making plans for the weekend.
a. Random Sample
b. Convenience Sample
c. Systematic Sample
d. Stratified Sample
2.
Survey of favorite subject of all math students for a particular teacher to predict about all math students in the state.
a. Population
b. Random Sample
c. Cluster Sample
d. Voluntary Response Sample
3.
PTSA is conducting a survey of the student body, they gave out the surveys and randomly selected surveys collected
from the advanced students based on Language Arts teachers.
a. Cluster Sample
b. Population
c. Random Sample
d. Convenience Sample
4.
The US Census Bureau collecting household data.
a. Random Sample
b. Convenience Sample
c. Systematic Sample
d. Population
5.
Selecting every 15th student from the enrollment list.
a. Random Sample
b. Convenience Sample
c. Systematic Sample
d. Cluster Sample
Short Response: Determine if the following statements are statistical and explain.
6.
What grade are you in?
____________________________________
a.
6th
____________________________________
b.
th
7
____________________________________
c.
8th
____________________________________
Summative Assessment
Populations and sampling
Name_____________________________
7. Student study habits have a direct impact on the grade a student receives in their classes.
__________________________________________________________________________________________
________________________________________________________________________________________
Directions: Use the following information to answer the questions below.
The following data about favorite sport was collected from all the math teachers at our school. Each math teacher was
given a three-digit number and those numbers were randomly selected using a random generator. The teacher then
turned in the responses from their 5th period class. The data below is the results.
8.
Based on the above data how would you describe the data displayed? Explain.
9.
Which of the two graphical representation, dot plot or bar graph, best display the above data? Explain. Create the
graphical representation.
10. Based on the data collected explain how or why the responses could be biased
Summative Assessment
Populations and sampling
Name_____________________________
11. Create a stem-and-leaf plot to display the data.
12. True or False: Based on the above survey, can we assume the majority of the sample population suggests that at our
school have more males than females? Explain.
13. What can you infer from the category listed as other? Explain.
14. Directions: Use the following data to create a dot plot and then make a prediction about the data. Then determine
which measure of central tendency (statistical number) best summarizes the data. Explain.