MATH 106 Statistics Project Grading Rubric Task # 1. Name, purpose of project Max Points Available 10 2. Data collected for project: - sample size - source of data - accuracy of samples 15 3. Measures of central tendency & variability: - median - sample mean - range - sample variance - sample standard deviation 25 100% of Available Points - Student's name listed - purpose of project clearly & thoroughly stated - variable of interest stated clearly 75% of Available Points - Student's name listed - purpose of project identified but not explained - variable of interest stated clearly 0% of Available Points - Student's name not listed - purpose of project not identified or explained. - variable of interest not stated Task not done - 10 or more - 10 or more - 10 or more - Less than 10 data points data points data points data points - source(s) of - not all - source(s) of - source(s) of data cited source(s) cited data cited data not cited - only - only - some data - many/all difference difference points have data points among all among all data more have more data points is points is the differences differences the variable of variable of than variable than variable interest interest of interest of interest Task not done All measures All measures - 2 out of 5 - 3 or more values values measures measures correctly calculated; values values calculated; no only 1 error incorrectly incorrectly errors [or population calculated calculated (not sample) - One measure - 2 or more variance & std not calculated measures deviation at all values not found] calculated Task not done 1 50% of Available Points - Student's name listed - purpose of project not clearly identified or explained - variable of interest not stated clearly MATH 106 Statistics Project Grading Rubric 4. Frequency Distribution: - data presented in frequency table format - Interval construction - Scores vs. Frequency - Relative frequency 15 5. Construct a histogram using frequency table created for Task 4 10 6. Determine percent of raw data falling within one, two, and three standard deviations of the mean 7. Effectively communicate your analysis, evaluation, results, and conclusion(s) you found to be particularly interesting, and why. 15 Total possible project points 100 10 Correct table format: x-axis: interval y-axis: frequency - interval spacing uniform and correct - relative frequencies calculated Histogram correctly plotted: x-axis: interval y-axis: frequencies no spaces between bars Answers to all three data percentages are correct Correct table format: x-axis: interval y-axis: frequency - one interval boundary falls on a data point - relative frequencies calculated ------------------- Answers to two of three data percentages correct Summary Summary paragraph paragraph includes includes discussion of discussion of all four facets. three of four facets. At least 2 results / At least 1 conclusions result / discussed. conclusion discussed. 2 Correct table format: x-axis: interval y-axis: frequency - multiple interval bounds fall on data points - relative frequencies calculated Intervals and frequencies correct but bar chart plotted instead of histogram (spaces between bars) Incorrect or missing table format No intervals calculated No relative frequencies calculated Task not done Histogram incorrectly plotted: x-axis: frequencies y-axis: interval Task not done Answers to one of three data percentages correct Incorrectly determined all three data percentages Task not done Summary paragraph includes discussion of only one facet. Task not done Summary paragraph includes discussion of two of four facets. At least 1 result / conclusion discussed. Statistics Project For this assignment, you will implement a project involving statistical procedures. The topic may be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the example described below. The project report must include name of project and your name purpose of project data (provide the raw data used, and cite the source)the sample size must be at least 10 median, sample mean, range, sample variance, and sample standard deviation (show work) frequency distribution histogram percentage of data within one standard deviation of the mean, percentage of data within two standard deviations of the mean, percentage of data within three standard deviations of the mean (include explanation and interpretation --do your percentages imply that the histogram is approximately bell-shaped?) conclusion (several paragraphs interpreting your statistics and graphs; relate to the purpose of the project) If you choose, you may use the following example for your data. Purpose: Compare the amount of sugar in a standard serving size of different brands of cereal. (You may instead choose to compare the amount of fat, protein, salt, or any other category in cereal or some other food.) Procedure: Go to the grocery store (or your pantry) and pick at least 10 different brands of cereal. (Instead of choosing a random sample, you might purposely pick from both the "healthy" cereal types and the "sugary" ones.) From the cereal box, record the suggested serving size and the amount of sugar per serving. The raw data is the serving size and amount of sugar per serving for each of the 10 boxes of cereal. Before calculating the statistics on the amount of sugar in each cereal, be sure you are comparing the same serving size. If you use a serving size of 50 grams, you must calculate how much sugar is in 50 grams of each cereal. For example, if the box states that there are 9 grams of sugar in 43 grams of cereal, there would be 50 times 9 divided by 43, or 10.5 grams in 50 grams of cereal. The result of this simple calculation (for each of 10 boxes) is the data you will use in the project statistics and charts. Food database and calorie counter Fat in Cereal The favorite choice for the term "Cereal" is 1 cup of Cereal which has about 1.1 grams of fat. The total fat, saturated fat and other fats for a variety of types and serving sizes of Cereal is shown below. Popular Types of Cereal (1 cup serving) Bran Flakes Chocolate Rings Cereal Corn Flakes Corn and Rice Cereal Cream Of Wheat Frosted Flakes Cereal Instant Oats Cereal Puffed Rice Cereal Puffed Rice Fruit Cereal Puffed Wheat Cereal Regular Cereal Shredded Wheat Cereal Total Fat(g) 0.88 3.17 0.03 0.31 0.45 0.21 2.13 0.07 1.4 0.5 1.12 0.99