Statistics Project For this assignment, you will implement a project involving statistical procedures. You will be expected to analyze, interpret, and evaluate information using appropriate technological tools. 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. Samuel Smoot MATH 106 6382 Finite Mathematics Salt in Soups - a comparison of some popular types and brands By: Samuel Smoot For this comparison study, we selected 12 soups from a local grocery store and recorded the amount of salt (i.e. sodium) in each. The raw data are listed in the table below. Brand/Type Sodium/cup cups/can Sodium/can Healthy Choice Minestrone 360 2 720 Campbell's Condensed Tomato Soup (Healthy Request) 410 2.5 1025 Campbell's Condensed Tomato Soup 480 2.5 1200 Campbell's Condensed Cream of Mushroom 650 2 1300 Campbell's Select Harvest 100% Natural Harvest Tomato with Basil 650 2 1300 Progresso Traditional 99% Fat-free Chicken Noodle 670 2 1340 Progresso Rich and Hearty Steak and Vegetables 690 2 1380 Progresso Vegetable Classics Garden Vegetable 690 2 1380 Campbell's Condensed Cream of Broccoli 750 2.5 1875 Progresso Traditional 99% Fat-free New England Clam Chowder 810 2 1620 870 2.5 2175 880 2.5 2200 Campbell's Chunky Beef with Country Vegetables Campbell's condensed Manhattan Clam Chowder Note that the serving size is 1 cup (8 oz) for all entries in this table. We will compute all of our statistics using the sodium per cup values. The basic descriptive statistics are given in the table below: Statistic Maximum Minimum Mean Median Standard Deviation () % within 1 % within 2 % within 3 Value 880 360 659.2 680 167.9 67% 100% 100% The mean (average) is found by summing all the values and dividing by 12 (the number of samples). The median is the middle value of the sorted list, and since we have an even number of samples, we take the average of the two nearest the middle (samples 6 and 7). The standard deviation is the square root of the average deviation from the mean. The maximum and minimum are self-explanatory. All of these calculations were done with Excel. The percentages of the data within 1, 2 and 3 standard deviations were simply counted by hand. The histogram or frequency distribution of the data is shown below. From this we see the data are roughly bell-shaped, but are slightly skewed to the low-sodium side. 7 6 5 4 number of soups 3 2 1 0 0 200 400 600 800 1000 1200 sodium per cup MATH 106 Statistics Project Instructions Version 2.1 (Summer 2016) MATH 106 Statistics Project Instructions (Revised May 2016) 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 is made of the following tasks. Each task must be addressed in the statistics project report in order to qualify for full credit: Task 1: identify: o Yourself (student's name) o name of project o purpose of project Task 2: Conduct Data Collection. Provide: o Raw data used (sample size must be at least 10 individual raw scores) o source of the data Task 3: Calculate Measures of Central Tendency and Variability: o median, sample mean, range, sample variance, and sample standard deviation (show work) Task 4: Frequency Distribution. Provide o Raw data in frequency table format (1st column of value \"intervals\