WorksheetsStudy Guide Unit 11 Statistics
Total questions: 16
Worksheet time: 39mins
A population is divided into clusters and entire clusters are chosen as the sample
Cluster Sampling
data that fall into categories, or that indicate a qualitative rather than quantitative attribute
Categorical Variable
a group of subjects who are not exposed to the variable under study
Control Group
a systematic error in a study caused by the sampling method
Bias
Only subjects that are nearby or easy to get to are chosen.
Convenience Sampling
Systematic Sampling
A rule is used to select members of a sample.
Parameter
a measure that describes a population
Quantitative Variable
numerical data that can be compared, added, subtracted or otherwise operated on
Experiment
involves applying a treatment to some group or groups and measuring the effects of treatment
Statistical Variable
quantity or quality that can be measured or counted
Researchers randomly choose two groups from 16 volunteers. Over a period of 10 weeks, one group
watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while
sleeping, and researchers record dream activity. Which type of study method is described in each situation?
survey
controlled experiment
observational study
The scores on an exam are normally distributed, with a mean of 77 and a standard deviation of 7. What
percent of the scores are greater than 84?
84%
16%
68%
2.5%
Why is the following a statistical question?
How many plays do students see in a year?
Different students can see different
numbers of plays in a year.
Some students might not see any plays in
a year.
The question asks about only one year.
Some students might not like seeing
plays.
List the mean, standard deviation, and five-number summary of the following data set. Use a spreadsheet to
calculate the standard deviation.
6, 10, 14, 3, 8, 10, 3, 6, 9, 6
mean: 8.3; standard deviation: 3.2
min: 3; Q1: 6; median: 7; Q3: 10; max: 14
mean: 7.5; standard deviation: 3.2
min: 3; Q1: 6; median: 8.3; Q3: 10; max: 14
mean: 7.5; standard deviation: 3.6
min: 3; Q1: 6; median: 7; Q3: 10; max: 14
List the mean, standard deviation, and five-number summary of the following data set. Use a spreadsheet to
calculate the standard deviation.
12, 10, 13, 14, 9, 6, 6, 6, 4, 7
mean: 8.7; standard deviation: 3.6
min: 4; Q1: 6; median: 8; Q3: 12; max: 14
mean: 8.7; standard deviation: 3.3
min: 4; Q1: 6; median: 9.7; Q3: 12; max: 14
mean: 9.7; standard deviation: 3.3
min: 4; Q1: 6; median: 8; Q3: 12; max: 14
Write a statistical question that uses a categorical variable.
How much do you spend on groceries
each month?
How many words do you actively use
on average?
What is your favorite primary color?
How much change do you have in your
pocket?
The numbers of cookies in a shipment of bags are normally distributed, with a mean of 63 and a standard
deviation of 3. What percent of bags of cookies will contain between 57 and 69 cookies?
47.5%
2.5%
95%
16%
To investigate a community’s reading habits, a publication invites readers to complete and mail in a survey.
What type of sampling method is this?
self-selected
random
systematic
convenience
The Pew Research Center states that “24% of teens go online almost constantly.” Is this a parameter or a
statistic? Why?
Parameter; it describes the teen population.
Parameter; it describes a sample of teens.
Statistic, it describes a sample of teens
Statistic; it describes the teen population.
The data to the right were collected from all race participants to answer the? question, "What is the average
age of runners in the Fall Harvest? 5K?" Does this histogram represent data related to a parameter or?
statistic? Explain your response.
Statistic because it involves data that are
likely to change from race to race.
Statistic because the median and average
are close together.
Parameter because it represents data
collected from the entire population of
racers.
Parameter because the age of racers is
unlikely to change drastically.
Write a statistical question that uses a quantitative variable.
What is the tallest building in Chicago?
What is your favorite class?
What types of pets do you own?
What is your hourly wage?
Students ask every 5th person to board the train what their favorite color is. Which type of study method is
described in each situation?
controlled experiment
survey
observational study
To investigate a community’s reading habits, a publication invites readers to complete and mail in a survey.
Does this sampling method have any bias? Explain
No, the sampling method has no bias
because part of the population equally
represents the entire population.
Yes, because the people who respond to
the survey may underrepresent the
number of readers in the community.
Yes, because the people who respond to
the survey may overrepresent the number
of readers in the community.
Yes, because the survey is leading. It
suggests that a certain answer is wanted.
What is the type of distribution, center, and spread of the data?
5 6 5 6 4 4 3 3 5 6 8 12
Normal; mean: 5.6; standard deviation: 2.7
Skewed left; median: 5; interquartile range: 2
Normal; median: 6; interquartile range: 2
Skewed right; median: 5; interquartile range: 2
