What is the population Mike investigated?
The 7th grade class.
Is the information that Mike obtained considered a population characteristic or a sample statistic? Explain your answer.
A sample statistic, because his friends represent only a sample of the 7th grade class.
Is his sample representative of the population? Explain your reasoning.
No. Explanations vary; encourage students to discuss that he might be friends with only people who are from San Francisco.
Was his sample obtained randomly? How do you know?
No, because any student who is not Mike's friend did not have an equal chance of being picked.
If Mike has 80 friends, approximately how many prefer the Giants? Explain your reasoning.
Approximately 70, because
What statistical question might have been asked in Part 2 to generate the given dot plot?
"How many hours of TV per week do students watch?"
What measure of center would best describe this set of data? Explain your reasoning.
Median, because the data is not symmetrical.
What is the median of the data? (There are 50 values on the dot plot.)
What are the first and third quartiles of the data?
First quartile: 3 hours
Third quartile: 10 hours
What is the Interquartile Range of the data? How do you know?
7 hours. Possible explanation:
If the students surveyed had their names put in a hat, are the students who watched 10 or more hours of TV per week equally likely to be chosen as those who watched fewer than 10 hours per week? Why or why not?
No. Possible explanation: Fewer than half of the 50 students surveyed watched 10 or more hours, so their chance of being chosen is lower than for those who watched less than 10 hours.
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