Quantitative Reasoning
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Section Number:
MAT152 Mid-Semester Project Directions and Template
You will complete this project using the data that you collect from each of your survey participants. Each question has directions to guide you as you reflect on your project and provide answers based on the data you gathered.
Question 1: What are the questions you will be asking participants? ( Same questions approved on your discussion board.)
· Directions: List the survey questions for your statistical study. Be specific about exactly what you will ask people. Also, record the age of each participant. Note: These should be the same questions approved by your instructor from the discussion board. Carry out the study. Obtain at least 20 participants for your study.
· Tips:
· Choose questions that interest you – something different from the examples provided.
· Avoid simple “yes” and “no” questions without an explanation.
· Have participants expand upon their answers. If they answered yes, why did they do so?
· Record the ages of your participants in a table to keep your data neat!
Question #1:
Question #2:
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Participant |
Age |
Answer to numerical question |
Answer to non-numerical question (s) |
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Participant 1 |
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Participant 2 |
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Participant 3 |
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Participant 4 |
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Participant 5 |
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Participant 6 |
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Participant 7 |
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Participant 8 |
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Participant 9 |
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Participant 10 |
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Participant 11 |
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Participant 12 |
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Participant 13 |
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Participant 14 |
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Participant 15 |
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Participant 16 |
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Participant 17 |
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Participant 18 |
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Participant 19 |
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Participant 20 |
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Question 2: Who is in your sample?
· Directions: Describe who you asked.
Question 3: Who was your intended population?
· Directions: Describe the larger group you are seeking to learn about.
Question 4: Do you think your sample helps you learn about your population? What could you do (if you had more time and money) to gather a sample to better help you learn about your population? Explain in a minimum of 2 sentences.
· Directions: In most cases your sample is probably not perfect. Tell what is good about your sample and how it could have been improved.
Question 5: Using your non-numerical (the question that did not have a number answer) data, make a pie chart or a bar graph.
· Directions: Clearly label the information in the graph and make a descriptive title, so that it is easy for a reader to understand what is being shown. You can do this by hand or using technology. You may need to group similar responses to create a reasonable amount of categories
Question 6: Describe the information shown in the graph.
· Directions: Summarize the data from the shown in the graph you made in question #5. Tell what percentages of respondents fit into each category and describe any interesting, surprising, or noteworthy results. Explore percentages within your data.
Question 7: Using your numerical data (the question with a number answer), calculate mean, median, range, and standard deviation.
· Directions: You can do this by hand or using technology. Show work or include the Excel spreadsheet with formulas.
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Mean* |
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Median* |
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Range* |
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Standard deviation* |
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*Show work for each or include your Excel spreadsheet with formulas
Question 8: Describe the numerical results.
· Directions: Summarize the data. What are your mean, median, range, and standard deviation? Describe these numbers in the context of your question. What does it tell you about the population? What does the standard deviation tell you about how spread out your data is? Do these numbers make sense given real world context?
Question 9: Give an overall summary of your data.
· Directions: Write a contextualized summary about your data. Explain the graph(s) you created. In words, state what your mean and median values were and what that tells you about your population. State what percentages and ratios you found and what that tells you about your population. Use words from the course (such as majority, plurality, maximum, minimum, mean, median, …) when appropriate. What conclusions can you make? What was interesting or surprising? What additional questions would you ask in a follow-up study?
Choose 2 of the 3 Questions Below to Answer:
· Directions: Connect concepts from the semester to our project! Think critically about how you could apply topics from the semester thus far. Use specific examples to support your answers.
Question 10: Should everyone’s responses be weighted equally? Explain in a minimum of 2-3 sentences.
Question 11: If you were to conduct your study again, explain how you would be able to apply the concepts of absolute and relative change.
For example, if you were to conduct this survey again in five years, what changes would you look for? Be specific to your data and variables. Explain in a minimum of 2-3 sentences.
Question 12: How could you apply the probability concepts learned in lesson 4 to your data?
Give specific numbers from your data and connect to your population. Explain in a minimum of 2-3 sentences.
Rubric Goals: Use these requirements as a guide to ensure that you complete this project to the best of your ability.
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Rubric Criteria |
Exemplary Top Score Requirements |
Did I do this? |
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Questions are well written
(Question 1) |
Questions are well-written and relevant. Question(s) has multiple answer options and/or requires explanation |
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Sample and population are explicitly described.
(Question 2 &3) |
Concept of population and sample seems to be understood.
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Sample and population analysis
(Question 4) |
Concept of using a sample to learn about a population seems to be understood |
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Graph of non-numerical data
(Question 5) |
Concepts of creating a graph seem to be understood. (Graph has clear labels and a descriptive title; gives a helpful representation of your data) |
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Data summary from graph
(Question 6) |
Concept of describing and summarizing data seems to be understood. (Data is accurately described, accurate percentages are listed, summary is clearly written) |
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Calculations with numerical data
(Question 7) |
Calculations are accurate: All four measures are accurately calculated and work is clearly shown (or an Excel spreadsheet including formulas is included). |
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Data summary from calculations
(Question 8) |
Concepts of describing and summarizing data seem to be understood. (Results of mean, median, range, and standard deviation are accurately reported and their meaning in this context is clearly described) |
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Overall summary
(Question 9) |
Overall summary of data from your survey questions is well done (accurately describes the data, focuses on important and interesting points, puts results in the context of what you learned about your population) |
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Connections
(Question 10-12) |
At least 2 concepts from the semester were accurately connected to the project. Specific details of how these concepts could apply to your data are included. |
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Professionalism |
Project is submitted entirely on time. |
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Presentation and grammar |
Project is neatly prepared with proper grammar. |
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