MDM4U Mathematics of Data Management Essay
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
MDM4U Mathematics of Data Management Essay
Course Code: MDM4U
FINAL EXAMINATION
Due: December 17th, 2021
Time: 1:00 p.m. EST
Student Name: _______________________________________ _______
Please read the following instructions carefully before you begin the examination:
The examination is worth thirty percent (30%) of your final mark.
The examination consists of three (4) sections.
SECTION CONTENT MARKS Student’s Mark A Knowledge / Understanding) (25%) 28 Marks B Application (25%) 12 Marks C Communication (25%) 9 Marks D Thinking / Inquiry (25%) 18 Marks TOTAL 70
- All answers must be written in pencil, black or blue pen.
- Student should not have any electronic gadget on them during the examination
- Student should bring along their calculators
Good Luck!
SECTION A 28 marks Knowledge and understanding
- Regina spent the first seven days of her holidays in New York, USA. She recorded the temperatures for seven days as follows: 5, 10, 14, 12, 8, 10, and 11
- Create a frequency distribution table for the data
- Determine the mean, median, and mode of the temperatures.
- Determine the variance and standard deviation for the temperatures
- Create a box and whisker plot of the data
- Determine the outlier if any
- Which measure of central tendency would best represent the temperatures in New York? Explain.
- A teacher is calculating the marks for the students in her Data Management class. She assigns the following values to each category:
Knowledge: 25%, Thinking: 20%, Application: 20%, Communication: 20%, and final examination 15%.
Angel has not yet written her final examination, but her marks in the first four categories are 90, 60, 75, and 70.
- a) Determine the weighted mean for Angel before the final exam.
- b) Determine the unweighted mean for Angel before the final exam
- c) What mark must Angel receive on the final exam to finish the course with 75%?
SECTION B 12 marks Application
- A nuclear plant in Ontario releases some radioactive substances into the air. For example, a 100-MW coal plant releases a mean of 500 kg of uranium per year, with a standard deviation of 120 kg. The release of uranium follows a normal distribution.
- a) What is the probability that the plant will release less than 450 kg of uranium in a given year?
- b) What is the probability that the plant will release more than 450 kg of uranium in a given year?
- c) What is the probability that the release will be within 5% of the mean?
- During the covid-19 pandemic, a survey of small businesses in the Greater Toronto Area showed that a mean of 10% of gross income was spent on protective supplies, with a standard deviation of 2%, following a normal distribution. At a 95% confidence level, the margin of error was 8%. How many businesses were surveyed?
SECTION C 9 marks Communication
- You were contracted to conduct research for a bank in Ontario. You found the upper and lower limits of a 95% confidence interval to be 12 g and 20g respectively. Explain the meaning of your result to the clients
- With a specific example, explain how an outlier can affect the measures of central tendencies
- Compare measures of spread and measures of the central tendencies
SECTION D 18 marks Thinking / Inquiry
- The table shows distance from home for a cyclist over time.
Time (min) Distance (km) 5 3 10 3.6 15 4.7 20 10 25 6.5
- a) Create a scatter plot relating distance, d, and time, t.
Note: Plot distance (d), on the y-axis and time (t) on the x-axis.
- b) Show the trend on your scatter plot.
- c) Determine the strength of linear correlation.
- d) Determine the equation of the line of best fit and explain what it means.
- e) Why do the actual data points not always fall exactly on the line?
- A set of five whole numbers is arranged in order from least to greatest. The fifth number is decreased by one. Would the interquartile range or standard deviation be more affected? Explain.
3
RUBRIC
QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points: Student failed to submit the final paper. 20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points: Student failed to submit the final paper. 5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. Structure of the Paper (worth 10% of total points) Zero points: Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper. GET THIS PROJECT NOW BY CLICKING ON THIS LINK TO PLACE THE ORDER
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