Graphics And Numerical Methods Assignment
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Graphics And Numerical Methods Assignment
Assignment 2
Graphics And Numerical Methods Assignment
For this assignment, you will use graphics and numerical methods to illustrate the statistical concepts you have learned. You will construct frequency tables, histograms, bar graphs, and box plots, as examples of how to grasp meaningful information from a numerical or graphical examination of a set of data.
Download Data File 2 Attachment and complete the questions and answers as presented. Unless otherwise requested, submit all assignments with the problems/questions and answers in Word file format.
- Disgruntled shareholders who put pressure on corporate management to make certain financial decisions may be referred to as shareholder activists. A survey of 240 large investors was conducted to determine how widespread shareholder activism is. One question asked was “If the chief executive officer and the board of directors differed on company strategy, what action would you, as a large investor of the firm, take?
- Graphics And Numerical Methods Assignment
Response Number of Investors Seek formal explanation 154 Seek CEO performance review 49 Dismiss CEO 20 Seek no action 17 Total 240
- Construct a relative frequency table for the data.
- Display the relative frequencies in a graph.
- Discuss the findings.
- More than 20 years ago, a survey of 2,016 small businesses (defined as having fewer than 100 employees) were surveyed regarding their weekly Internet usage to advertise and sell their products. The survey found 1,855 small business did not use the Internet, 121 used the Internet from one to five hours per week, and 40 that used the Internet six or more hours per week.
- Identify the variable measured in the survey.
- Summarize the survey results with a graph.
- What portion of the 2,016 businesses used the Internet on a weekly basis?
- If the same survey were conducted today, show the results you would expect in a frequency table. Explain your projected findings.
- Consider the following set of data, which represents the reported company percentage of revenue spent for research and development.
Percentage of Revenues Spent on Research and Development Company Percentage Company Percentage Company Percentage Company Percentage 1 13.5 14 9.5 27 8.2 40 7.5 2 8.4 15 8.1 28 6.9 41 7.1 3 10.5 16 13.5 29 7.2 42 13.2 4 9.0 17 9.9 30 8.2 43 7.7 5 9.3 18 6.9 31 9.6 44 5.9 6 9.7 19 7.5 32 7.2 45 5.2 7 6.6 20 11.1 33 8.8 46 5.6 8 10.6 21 8.2 34 11.3 47 11.7 9 10.1 22 8.0 35 8.5 48 6.0 10 7.1 23 7.7 36 9.4 49 7.8 11 8.0 24 7.4 37 10.5 50 6.5 12 7.9 25 6.5 38 6.9 13 6.8 26 9.5 39 6.5
- Create a stem-and-leaf display for these data.
- Generate a histogram for these data. Use a bin width of 1.1.
- Calculate the mean, median, and mode for these data.
- Calculate the range and standard deviation for the percentages.
SOURCE: MBS, Figure 2.7, p. 37 – 58.
- Construct a frequency table for the weight (in pounds) given below of 36 cans of regular Coke. Start the first bin at 0.7900 pound and use a bin width of 0.0050 pound. Discuss your findings.
0.8192 0.8194 0.8211 0.8176 0.8062 0.8143 0.8110 0.8152 0.7901 0.8152 0.8079 0.8161 0.8161 0.8163 0.8194 0.8247 0.8165 0.8172 0.8150 0.8264 0.8207 0.8073 0.8295 0.8170 0.8150 0.8189 0.8181 0.8284 0.8128 0.8229 0.8251 0.8244 0.8244 0.8126 0.8044 0.8192
- Construct a frequency table for the weight (in pounds) given below of 36 cans of diet Coke. Start the first bin at 0.7750 pound and use a bin width of 0.0050 pound. Discuss your findings.
0.7773 0.7874 0.7868 0.7802 0.7806 0.7907 0.7879 0.7833 0.7923 0.7910 0.7813 0.7859 0.7822 0.7896 0.7839 0.7861 0.7874 0.7852 0.7870 0.7826 0.7837 0.7872 0.7923 0.7760 0.7758 0.7822 0.7844 0.7892 0.7830 0.7771 0.7881 0.7822 0.7852 0.7879 0.7885 0.7811
- Use the data in Problem 4 to construct a histogram.
- Use the data in Problem 5 to construct a histogram.
- Suppose a friend drilled a hole in a die, filled it with a lead weight, and then proceeded to roll it. The results she obtained are given in the following frequency table:
Outcome Frequency 1 27 2 31 3 42 4 40 5 28 6 32
- According to the data, how many times was the die rolled?
- How many times was the outcome greater than 2?
- What percentage of outcomes were 6?
- List the relative frequencies that correspond to the given frequencies.
- List the cumulative frequencies that correspond to the given frequencies.
- The following table lists the number of persons killed in fatal car crashes for three different categories of blood alcohol content (BAC) of drivers. Display the data using the graph you think most appropriate for the data.
Year BAC of 0.0 (No alcohol)
BAC of 0.01 to 0.07 BAC of 0.08 and higher 1990 24,083 2,810 17,572 1995 25,968 2,300 13,423 2000 26,300 2,349 13,171 2005 27,542 2,350 13,532 2010 21.787 1,988 11,242
- The following data shows the ages of the first seven presidents of an East Coast university founded in the early 1800’s and the ages of the seven most recent presidents of that same university at the time each became President.
First seven: 57 61 57 57 58 57 61
Last seven: 61 52 69 64 46 54 47
- Find the mean, median, and range for each of the two data sets.
- Give the five-number summary and draw a boxplot for each of the two data sets.
- Find the standard deviation for each of the two data sets.
RUBRIC
Excellent Quality
95-100%
Introduction 45-41 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Literature Support
91-84 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Methodology
58-53 points
Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score
50-85%
40-38 points
More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.
83-76 points
Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.
52-49 points
Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality
0-45%
37-1 points
The background and/or significance are missing. No search history information is provided.
75-1 points
Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.
48-1 points
There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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