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Math 108 Topics in Mathematics | Section 0203 | Laura Barnes | **Chapter 5**

Reading Assignment |
Video |
Lecture Notes |

5.1 Displaying Distributions: Histograms pages 165 - 171 |
Section 5.1 Video |
Section 5.1 Lecture notes |

5.2 Interpreting Histograms pages 171 - 174 |
Section 5.2 Video |
Section 5.2 Lecture notes |

5.3 Displaying Distributions: Stemplots pages 174 - 175 |
Section 5.3 Video |
Section 5.3 Lecture notes |

5.4 Describing Center: Mean and Median pages 176 - 180 |
Section 5.4 Video |
Section 5.4 Lecture notes |

5.5 Describing Variability: Range and Quartiles pages 180 - 181 |
Section 5.5 Video |
Section 5.5 Lecture notes |

5.6 The Five-Number Summary and Boxplots pages 181 - 183 |
Section 5.6 Video |
Section 5.6 Lecture notes |

5.7 Describing
Variability: The Standard Deviation pages 183 - 187 |
Section 5.7 Video |
Section 5.7 Lecture notes |

- Construct a histogram for a small dataset.
- List and describe two types of distributions for a histogram.
- Identify from a histogram possible outliers of a dataset.
- Construct a stemplot and/or dotplot for a small dataset.
- Calculate the mean of a set of data.
- Sort a set of data from smallest to largest and then determine its median.
- Find the mode (if it exists) of a dataset.
- Find the range of a dataset.
- Determine the upper and lower quartiles for a dataset.
- Calculate the five-number summary for a dataset.
- Calculate the standard deviation of a small dataset.

- The quiz for Chapter 5 will be available from 12:00am Oct. 10 - 11:55pm Oct. 23.
- The quiz will consist of 10 multiple choice questions.
- You will have a maximum of two hours to complete the quiz.
- You will be allow two tries. The computer will accept the best score.
- Failure to take the quiz by 11:55pm Oct. 23 will be given a zero. No exceptions!

- Chapter 5

pages 199-203 Problems 6, 10, 14, 24, 34

Due by 11:55pm Friday Oct. 23 - Use Assignments tool to submit homework
- Homework help.
- Problem 6. Carefully read Section 5.2 before responding to this exercise. Pay special attention to the description of symmetric and skewed distributions. Think about how gender and right/left-handedness are distributed in real life.
- Problem 10. Carefully read Section 5.3 before responding to this exercise. You may choose the stem (left side) to be 4 5 5 5 5 5. That is, you should round to the nearest tenths digit (4.88 becomes 4.9)
- Problem 14. Part (a): Make the stemplot, with the outlier. You may choose the stem (left side) to be 0 1 2 3 4 5 6 7. Part (b): Calculate the mean. Use the stemplot to put the data in order from smallest to largest in order to find the median. Because there is an even number of pieces of data, you will need to examine two pieces of data to determine the median. Remove the outlier and recalculate the mean and determine the median of the 17 pieces of data. Compare the results with and without the outlier.
- Problem 24. Carefully read Section 5.5–5.6 before responding to this exercise. Make sure to first put data in order from smallest to largest. Double check that you have accounted for all pieces of data. Pay special attention when you are dealing with an even number of pieces of data in determining the median. When determining quartiles, remember if there is an even number of pieces to the left of the mean, there will also be an even number of pieces to the right of the mean.
- Problem 34. Placing the data in order is helpful.

- I will NOT accept homework with answers only.

- Go to the companion website and navigate to applets
for chapter 5.
- Go to the companion website and navigate to the applet exercises Mean and Median for chapter 5.
- In the companion website navigate to Video Clips for chapter 5 and watch
- Statistical Experiments and Epidemiology
- Randomized Comparative Experiments

Each worksheet will have 10 questions (each worth 1 point). The worksheets are designed to help you understand material. The worksheets are downloadable from the Assignment tool within Sakai as a Microsoft Word (or OpenOffice) and also as a pdf file. You can write on the worksheets and upload your answers or (similar to homework submissions) take a digital picture of your handwritten assignment with a camera or smart phone. All worksheet answers must be submitted within Sakai. The due dates for the worksheets are one week before the due date for homework assignments, so that you can get feedback on problems before submitting your homework and doing your quizzes. DO NOT SUBMIT ASSIGNMENTS VIA EMAILS OR FAXES! I will not accept them! Do not ask to submit late worksheets.

- Due by 11:55 pm Friday Oct. 16
- Use the Assignments tool to submit worksheet.

- The distribution of income in the United States is skewed to the right. According to a US Census Bureau report, the mean and median incomes of American households were $50,502 and $69,821 in 2011. Which of these numbers is the mean and which is the median? Explain your reasoning. Which of these numbers (mean or median) are better to use when talking about the average US income? Give another example where there is a large difference between mean and median. Give examples when it is better to use mean and when it is better to use median.

- Discussion for Chapter 5 will open at 12:00 am Saturday Oct. 10.
- You are required to participate in the discussion boards.
- Discussion topic will end at 11:55 pm Friday Oct. 23.
- See the syllabus on the grading rubric for discussions.

__Email:__ laura_d_barnes@uri.edu

__Office hours:__
By appointment

__Office:__
Lippitt Hall 101A

__Office Phone:__
(401) 874-2808

The required textbook,
"For All Practical Purposes", 9^{th} edition by COMAP,
Publisher W.H. Freeman. Do NOT use an older edition. All students
must have either a phyiscal copy of the textbook or an
ebook.Click
on the textbook above to go to the ebook.

The required textbook,
The textbook "For All Practical Purposes", 9^{th} edition by COMAP,Publisher W.H. Freeman
has a campanion website. The campanion website contains a lot helpful material,e.g. Java Applets, falshcards, practice quizzes.
The site can be accessed via the link
Campanion or click
on the picture above to go to the campanion website.

Math 108 Topics in Mathematics | Laura Barnes | laura_d_barnes@uri.edu | University of Rhode Island.