HSPA Math Macro 3b:
Statistical distributions in real-world
situations
Sample Open-ended
Item #3
Sample Item
| New Jersey’s population,
p (in millions) from 1900 to 2000 is shown in the table below.
- Sketch a scatter plot Let t
= 0 represent 1900. Label your graph with appropriate
values for time and population.
- Using your scatter plot, what type
of correlation do p and t have? Explain how you
arrived at your answer.
- Predict what the population of New
Jersey will be in the year 2010. Explain the strategy
that you used to make the prediction.
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Sample Responses
Click on a link below to view individual student
responses and scorer comments to this sample test item:
"0" Response | "1" Response | "2" Response | "3" Response | Top
"0" Response
This response shows a basic
understanding of scatterplots, but does not go into the problem
and indicates a low level of understanding.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"1" Response
This response scored a "1"
because it shows an undertstanding of how to set up a scatterplot,
but goes no further and does not answer any questions.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"2" Response
This response scored a "2"
because the scatter plot is properly constructed, and there is
a conclusion drawn about the population, but there is no written
correlation between p and t.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"3" Response
This response scored a "3"
because the graph is properly constructed, and all questions were
answered clearly and correctly.
"0" Response | "1" Response | "2" Response | "3" Response | Top
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