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sjbux sjbux
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Posts: 419
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4 years ago

City planners wanted to know how many people live in a typical housing unit so they compiled data

from hundreds of forms that had been submitted in various city offices. Summary statistics are shown in

the table.


a. Notice that the minimum occupancy and the first quartile are the same. Explain how this can be.
b. The city classifies residences housing 4 or more people as "high occupancy". Would you consider 4 occupants to be unusually high? Explain.
c. The city bases their garbage disposal fee on the occupancy level of the home or apartment. The annual fee is $40 plus $5 per person, so a single occupant pays $45 and the homes with 10 people pay a year.  What is the median fee paid? And the IQR?
d. What are the mean and standard deviation of the garbage disposal fees?
Textbook 
Stats: Modeling the World

Stats: Modeling the World


Edition: 4th
Authors:
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Replies
wrote...
4 years ago
a. At least 25% of the housing units have only one resident.
b: 4 residents is just above the 3rd quartile, and only about one standard deviation above the mean.  It is not an unusually high number of residents.
c. Median = 40 + 5(2) = $50; IQR = 5(3 - 1) = $10
d. Mean = 40 + 5(2.53) = $52.65; SD = 5(1.50) = $7.50
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