This module presents students with a number of problems related to statistical sampling and data. In particular, students are asked to demonstrate understanding of concepts such as frequency, relative frequency, and cumulative relative frequency, random samples, quantitative vs. qualitative data, continuous vs. discrete data, and other key terms related to sampling and data.
For each item below:
Identify the type of data (quantitative - discrete, quantitative - continuous, or qualitative) that would be used to describe a response.
Give an example of the data.
Number of tickets sold to a concert
Amount of body fat
Favorite baseball team
Time in line to buy groceries
Number of students enrolled at Evergreen Valley College
Most–watched television show
Brand of toothpaste
Distance to the closest movie theatre
Age of executives in Fortune 500 companies
Number of competing computer spreadsheet software packages
quantitative - discrete
quantitative - continuous
qualitative
quantitative - continuous
quantitative - discrete
qualitative
qualitative
quantitative - continuous
quantitative - continuous
quantitative - discrete
Fifty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below:
Part-time student course loads
# of Courses
Frequency
Relative Frequency
Cumulative Relative Frequency
1
30
0.6
2
15
3
Fill in the blanks in the table above.
What percent of students take exactly two courses?
What percent of students take one or two courses?
Sixty adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below:
Flossing frequency for adults with gum disease
# Flossing per Week
Frequency
Relative Frequency
Cumulative Relative Freq.
0
27
0.4500
1
18
3
0.9333
6
3
0.0500
7
1
0.0167
Fill in the blanks in the table above.
What percent of adults flossed six times per week?
What percent flossed at most three times per week?
5.00%
93.33%
A fitness center is interested in the average amount of time a client exercises in the center each week. Define the following in terms of the study. Give examples where appropriate.
Population
Sample
Parameter
Statistic
Variable
Data
Ski resorts are interested in the average age that children take their first ski and snowboard lessons. They need this information to optimally plan their ski classes. Define the following in terms of the study. Give examples where appropriate.
Population
Sample
Parameter
Statistic
Variable
Data
Children who take ski or snowboard lessons
A group of these children
The population average
The sample average
= the age of one child who takes the first ski or snowboard lesson
A value for
, such as 3, 7, etc.
A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Define the following in terms of the study. Give examples where appropriate.
Population
Sample
Parameter
Statistic
Variable
Data
Insurance companies are interested in the average health costs each year for their clients, so that they can determine the costs of health insurance. Define the following in terms of the study. Give examples where appropriate.
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Source:
OpenStax, Collaborative statistics (mt230 - fall 2014). OpenStax CNX. Aug 16, 2014 Download for free at http://legacy.cnx.org/content/col11403/1.7
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