Performance Task Statistics ch 1, 2, and 3

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Des Moines Area Community College *

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157

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Mathematics

Date

Feb 20, 2024

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docx

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1

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MAT 157 Unit 1 Project Information Performance Task Statistics – 100 pts Think of a quantitative issue or topic that you would like to know more about or that you feel strongly about (possibly feel strongly about changing) for which you can gather at least 30 data points . Develop and perform a study, compile and analyze the results, determine implications of the results for your target audience. Directions: Number all of your responses according to the numbers below. If you do some of the calculations on StatCrunch/Excel, take a screen shot of your information and insert the image. Please send me the links from StatCrunch/Excel also. 1. Select a quantitative topic of your choice 2. Email/discuss with your instructor your topic and the data you are collecting (this is to confirm that your idea will work for this project!) (3 pts) 3. Make a hypothesis regarding your topic. (2 pts) 4. You will need to gather at least 30 data points. a. Explain the sampling method you used and how you used this method. (5 pts) b. Explain the drawbacks to using this sampling method. (4 pts) c. Explain the benefits of using this sampling method. (4 pts) d. What potential bias is there because of your sampling method or question technique (loaded questions, etc)? (3 pts) e. Source all data (an electronic list of URL’s is sufficient for online resources, other resources need to include titles, authors, etc.) (2 pts) 5. Compile data a. Calculate measures of center (mean, median, mode, midrange) and variation (range, standard deviation) that are relevant to your data. (10 pts) b. Use the IQR method to analyze the data for any potential outliers. Show organized and labeled work. (10 pts) i. Explain the effects outliers could/do have on your measures and mathematically justify your explanations. (5 pts) ii. If outliers exist, compute the measures in 4a without them and compare them to the original values from 4a (with the outliers) and discuss any major differences. 6. From the representations we discussed, create ALL appropriate representations of your data (tables, plots, graphs, etc). Be sure to include titles, axis labels, etc (30 pts) a. Which two representations best portray your information? Explain why you think these two representations are better than the others. (5 pts) b. Modify one of your representations so it gives a different perspective (you can not change the data in any way, you just need to modify how you represent the data you already have)…make it a misleading graph. Explain the differences in perspective that the misleading graph gives compared to the original graph (10 pts) 7. Implications a. Was your hypothesis from #3 close? Are you surprised by what you found? Why/why not? (2 pts) b. Using your calculations and representations, what implications, predictions, and/or recommendations can be made by your analysis of your data? Justify your answers. (5 pts) 8. Turn in all handwritten papers and charts; upload any electronic documents to Blackboard, Unit 1 Project Submission.
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