Extended Constructed Response 1

Here are some reminders for when you are completing this Extended Constructed Response Task:

• Carefully read each part of the task before writing your response on a sheet of paper.
• Be sure to complete all parts of the task.
• Clearly explain your answer and show all your work.
• Your explanation can include words, tables, diagrams, or pictures.
• You may use a calculator and a ruler for this task.

The students in Mr. Harrison’s class are studying weather patterns. As part of their assignment, they kept some data related to the high temperatures observed each day during a ten-day period. Here are some statements they made based on their findings:

• The Mean High Temperature during the ten-day period was 76° F.
• The Median High Temperature during the ten-day period was 75° F.
• The Range in High Temperature readings during the period was 15° F.
• The temperature never exceeded 82° F during the ten-day period.

Use the information above to complete the following exercise:

• What is one possible set of data that the students could have collected? Explain how you arrived at your results, and how your solution satisfies all of the above criteria.