mathematics-statistics

In this section you will expand your project to include your actual data set, descriptive statistics for your quantitative variables, and a discussion of your results so far.

 

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Your project should be submitted as a professional report including everything from Part

1

and

2

using the following template.  If you did not do Part 1: you must obtain approval from your instructor on your variables before collecting data.  If Part 1 is missing, you will still lose completeness points.

 

The description in italics indicates the information required in each section.

(Part 1 of your project here)

Sampling Method

Based on the population identified in Part 1, describe an appropriate sampling technique to use for collecting data.  Discuss how your participants will be identified/contacted;  when and where will your study take place?   For example, I might want to use a sample stratified by gender when looking at the relationship between study hours and GPA.  To acquire my random sample within each strata, I might use a systematic sampling technique where I ask every 10th female or male entering RCF to participate.

NOTE: Ideally every study would have a very carefully designed sampling method where every person in the population is equally likely to be in the sample.  Unfortunately, we have a limited budget and timeline for our classroom projects.  There are still weaknesses in my example above that would needed to be raised in the discussion of my results (see below).

Data

Collect your own data set using your survey and following the plan you set out in part 1. You should have at least 20 cases (subjects). 

In order to satisfy good ethical practices, if you plan to survey human subjects, it is essential that they consent to being surveyed and that their information is protected.  Please do not pressure anyone to participate and please keep identities confidential.



Participant

Variable 1:
(insert var name here)

Variable 2:
(insert var name here)

1

enter data 

2

Descriptive Statistics for

Briefly introduce your variable and report the summary statistics (mean, standard deviation, 5-number summary and IQR).

Create both a histogram and modified boxplot for variable 1. You can choose what technology to use, but it must look professional (hand drawn histograms or boxplots will receive no credit).  Indicate what technology was used and a brief description of the process.  

Use the histograms and boxplots to describe the distribution.  Discuss the 

shape 

(modality, symmetry/skew) and unusual features of your data.  For the boxplot report the fences and any outliers, sharing the formula/calculations used. 

Compare the mean and median, discussing whether the mean or median is a better measure of 

center

 and explain why.  Compare the standard deviation and IQR, discussing which is the better measure of spread. Explain why.   

Descriptive Statistics for

Briefly introduce your variable and report the summary statistics (mean, standard deviation, 5-number summary and IQR).

Create both a histogram and modified boxplot for variable 2. You can choose what technology to use, but it must look professional (hand drawn histograms or boxplots will receive no credit).  Indicate what technology was used and a brief description of the process.  

Use the histograms and boxplots to describe the distribution.  Discuss the 
shape 
(modality, symmetry/skew) and unusual features of your data.  For the boxplot report the fences and any outliers, sharing the formula/calculations used. 

Compare the mean and median, discussing whether the mean or median is a better measure of 
center
 and explain why.  Compare the standard deviation and IQR, discussing which is the better measure of spread. Explain why.              

Discussion

Based on the analysis above, discuss at least 2 interesting results from your analysis.  For example, when looking at data about the hours students study, I might be surprised at the variation among students and discuss how this is demonstrated by the measures of spread found.

Ideally every study would have a very carefully designed sampling method where every person in the population is equally likely to be in the sample.  Unfortunately, we have a limited budget and timeline for our classroom projects .  Review the sampling method you used and discuss what limitations you see with your research, including sources of bias or other problems that might limit how well your research generalizes to the greater population (for example, if my survey on study hours and GPA was taken on campus between 2pm and 3pm, few night students are likely to be included).

 

Upon completion of the template, submit your project via the Canvas link as a PDF or Word file.

GENERAL INSTRUCTION REMINDER

General Instruction Reminder:  In this project you are asked to conduct your own research into two variables that interest you.  This project will give you an opportunity to apply the skills and techniques you learn in this class and to produce a professional report using appropriate technology.  This is a MAJOR, on-going assignment and is worth 15% of your grade; the equivalent of one unit exam grade.

Your projects will be graded in stages (Part 1, Part 2, Part 3) according to the attached rubrics.   

To be successful on your project you must:

· Read and follow instructions carefully.

· Work according to the timeline provided and submit work on time.

· 10% will be deducted for each calendar day the project is submitted after the due date. A project is considered “submitted” when it is available for the professor to view on Canvas.  No credit is given after 5 days late. 

· Students who fail to submit earlier parts of the project may still submit later parts of the project as long as their topic has been approved by their instructor and as long as they collect their own data. Points will still be taken away for lack of completeness unless those prior sections are completed and included.

· Write clearly, using appropriate terminology and accurate mathematical notation. College-level writing is expected, as is the use of correct grammar.

· If you need help with writing, feel free to use the HCC Writing Center: For further information, see the HCC Web page under the heading “Writing Center” or call the Writing Center at (443) 518-4101. PGCC students at the Laurel College Center should see the PGCC Writing Center for assistance.

· Submit a neat, professional report typed using your choice of word processing software (including a mathematical notation package) and including printouts and diagrams from your choice of statistical software/technology.

· In particular, embedded graphs or charts and/or computer printouts will be expected as part of the report. Hand-drawn graphs are not acceptable.

· Please note: Excel should be used only with caution as it does not consistently follow accepted statistical practices.

· Original work is expected. This means that students who are repeating the course are expected to create an entirely new project using two new variables of interest.

· Getting help:

· For this project, you may consult any resource (including your instructor, tutors (LAC, HR230), classmates, or the internet) for general help and advice provided that your write-up (computations, explanations, and embedded diagrams) are your own work.

· For example, you might watch a YouTube video on how to use StatCrunch or have a peer show you how to create a histogram using a different dataset (not the one in your project), then try it yourself with your dataset. You might consult your textbook or your instructor about a concept, but then put the explanation into your own words.

· Submission guidelines:

· You should submit your project via the Canvas link as a PDF or Word file.

· VeriCite will be used as a deterrent to plagiarism. This program is integrated into the Canvas submission process.  All submissions will be compared against the VeriCite database and receive an “originality” rating. 

· To earn the maximum score on this project, it is expected that students go “above and beyond” the minimum expectations of the project.

Grading

Rubric

:  Part 2 will be graded by components according to the rubric below with comments provided to students. Instructors may chose a midpoint value on the rubric if work is approaching but not at the next level.

 
Rubric

Project Part 2 Rubric (1)

All of the 4 criteria identified are completed clearly and professionally.

Of the 4 criteria identified at least 3 of the components are completed clearly.

Of the 4 criteria identified at least 2 of the components are completed clearly.

1.0 pts

Of the 4 criteria identified at least 1 of the components is completed clearly

0.0 pts

No submission, submission is plagiarized, or submission does not match assignment.

4.0 pts

3.0 pts

All of the 8 criteria identified are completed clearly and professionally.

12.0 pts

Of the 8 criteria identified, at least 6 of the components are completed.

8.0 pts

Of the 8 criteria identified at least 4 of the components are completed.

4.0 pts

Of the 8 criteria identified at least 2 of the components are completed.

0.0 pts

No submission, submission is plagiarized, or submission does not match assignment.

16.0 pts

16.0 pts

4.0 pts

2.0 pts

Project Part 2 Rubric (1)

Criteria

Ratings

Pts

This criterion is linked to a Learning OutcomeInclusion of Part I and Sampling Technique

4 Criteria: Part I included; Sample technique is appropriate to the research problem; Data collection method is clearly and appropriately described (how, when, where); All ethical issues are appropriately addressed.

4.0 pts

3.0 pts

2.0 pts

This criterion is linked to a Learning OutcomeData Collection

2 Criteria: Data is Complete/Readable; and Data matches proposal.

3.0 pts

Both Criteria are clearly met: Data provided are complete (20+ cases), and appropriate to the research proposal from Part I.

2.0 pts

Data are incomplete or poorly organized.

1.0 pts

Data are included but does not match proposal.

0.0 pts

No submission, no criteria were met, or data was not collected appropriately (original, independently collected survey data).

This criterion is linked to a Learning OutcomeDescriptive statistics for Variable 1

8 Criteria: Summary statistics are accurate and clearly defined; Histogram is correct, clearly labeled and professional in appearance; Boxplot is correct, clearly labeled and professional in appearance; Fences and outliers are accurate and clearly explained; The written description of the distribution is accurate and incorporates references to the figures; The best measure of center is correctly identified and justified; The best measure of spread is correctly identified and justified; and The presentation of ideas is well-written and organized.

16.0 pts

This criterion is linked to a Learning OutcomeDescriptive statistics for Variable 2

8 Criteria: Summary statistics are accurate and clearly defined; Histogram is correct, clearly labeled and professional in appearance; Boxplot is correct, clearly labeled and professional in appearance; Fences and outliers are accurate and clearly explained; The written description of the distribution is accurate and incorporates references to the figures; The best measure of center is correctly identified and justified; The best measure of spread is correctly identified and justified; and The presentation of ideas is well-written and organized.

16.0 pts

All of the 8 criteria identified are completed clearly and professionally.

12.0 pts

Of the 8 criteria identified, at least 6 of the components are completed.

8.0 pts

Of the 8 criteria identified at least 4 of the components are completed.

4.0 pts

Of the 8 criteria identified at least 2 of the components are completed.

0.0 pts

No submission, submission is plagiarized, or submission does not match assignment.

This criterion is linked to a Learning OutcomeDiscussion

3 Criteria: Discussion of first non-trivial result that is well-supported by the data analysis; Discussion of second non-trivial result that is well-supported by the data analysis; Comprehensive of review of sampling technique that addresses possible concerns such as design whether the design might limit access to responses from some members of the population.

4.0 pts

All of the 3 criteria identified are completed clearly and professionally. The discussion has some depth and reasonable transitions and connections between ideas

3.0 pts

All of the 3 criteria identified are completed but the discussion is disjointed or disorganized.

2.0 pts

Of the 3 criteria identified only two are completed clearly.

1.0 pts

Of the 3 criteria identified one is completed clearly.

0.0 pts

No submission, submission is plagiarized, or submission does not match assignment.

This criterion is linked to a Learning OutcomeEffective Use of Technology

2.0 pts

Appropriate technologies selected and used to yield outstanding results in creating graphs, tables, and equations, demonstrating effective command of each of the tools

1.0 pts

Some appropriate technologies used to complete project tasks in a manner sufficient to meet project goals, demonstrating proficiency with some tools.

0.0 pts

Typically, poor choices made in how to use technology to support project requirements.

Total Points: 45.0

Introduction

The two selected variables are weight loss and how many calories burned. Weight loss in the context of medicine, health, or physical fitness, refers to a reduction of the total body mass, due to a mean loss of fluid, body fat or adipose tissue or lean mass, namely bone mineral deposits, muscle, tendon, and other connective tissue while calories burned per week is the total number of weight being shed in pounds. The more work a person put into physical activities in a week in form of time, the more calories burned in pounds.

Lack of total number put into physical activity per week affects the total number of weights in pounds to be shed. Therefore, the physical activity will be carried out will have a major effect on the total weight loss.

This research will enlighten people on the how to lose weight by putting in time to be able to lose the weight and the more time you put into physical activities the more weight you lose in pounds.

Population

The population of interest are youths from the gym in a selected area. The participants will be young gym members who attends the gym on a regular basis. Participants who takes the survey will be assured that their information will be kept confidential and no real names will be included.

The survey will be distributed and returned immediately when filled.

Materials

Survey

1. are you male or female?

· male

· female

2. what is your age

· 17 or younger

· 18-20

· 21-29

· 30-39

· 40-50

3. What was your weight before exercise?

· 100lbs-150lbs

· 160lbs-200lbs

· 210lbs-250lbs

· 260lbs-300lbs

4. What was your weight after exercise the first week?

5. 100lbs-150lbs

6. 160lbs-200lbs

7. 210lbs-250lbs

8. 260lbs-300lbs

9. What are your motivators to lose weight check all that apply

· Improved health

· Feel more attractive

· To fit into your old clothes

· Have more confidence

10. How any hours do you stay at the gym

· 30 minutes

· 1-2 hours

· 1-3 hours

· 1-4 hours

· 5hours

References

https://www.google.com/search?rlz=1C1CHBF_enUS857US857&sxsrf=ALeKk03E1l5rsaIrSS78obJU0p8HTrVPjg%3A1583271486061&ei=Ps5eXo6lA-2Gggf536v4DA&q=weight+loss+definition&oq=weight+loss+&gs_l=psy-ab.1.0.35i39l2j0i67l8.13878.13878..16755…0.2..0.81.81.1……0….1..gws-wiz…….0i71.N1xFjszedf4

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