HSPA Math Macro 3b:
Statistical distributions in real-world
situations
Sample Open-ended
Item #1
Sample Item
Continental Airlines advertises that
its flights are on time. The chart below displays
a consecutive 12 day period and is representative of most
12 day periods for the last 3 months. Study the
chart, which shows the touchdown times for Flight 288
which had on-time departures at 10:00 A.M. for the 2 hour
and 40 minute flight to Florida from Newark.
- Explain why the advertising claim
of on time arrivals is incorrect for this flight.
- Determine the probability of arriving
in Florida late if this flight is taken.
- If Flight 288 is late, predict
how many minutes late the flight will be and explain
how you made 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 | "3" Response | Top
"0" Response
This response scored a "0"
because no conclusions are shown, and no answers are provided.
The sample does not explain why the chart is being drawn.
"0" Response | "1" Response | "3" Response | Top
"1" Response
This response scored a "1"
because it shows little understanding, and there are calculations
errors for probability.
"0" Response | "1" Response | "3" Response | Top
"3" Response
This response scored a "3"
because the answer is correct and it shows an understanding of
probability.
"0" Response | "1" Response | "3" Response | Top
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