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\Energy drinks 500ml Black Energy Drink Black Sugar Free Energy Drink 250ml Cornish Bite Energy Drink Apple 250ml EQ8 Natural Energy Drink Cranberry & Apple 250ml Scheckter's Organic Energy Fairtrade Lite 250ml Best-in Stimulation Drink 250ml Morrisons Source Energy Drink 250ml Red Rooster Stimulation Drink 250m Black Energy Drink 250ml Red Bull Red Bull The Silver Edition Energy Drink 250ml SoBe Pure Rush Energy Drink Tropical Twist 250ml Amount of sugar x-mean (x-mean)^2 1.3 -19.27 371.3329 9.8 -10.77 115.9929 15.8 -4.77 22.7529 17.5 -3.07 9.4249 24.5 3.93 15.4449 25.8 5.23 27.3529 26.5 5.93 35.1649 27 6.43 41.3449 27.5 6.93 48.0249 30 9.43 88.9249 205.7 775.761 25.15 20.57 1.3 to 30 28.7 86.1956666667 9.28 median sample mean range sample variance sample standard deviance Intervals 00-05 05 to 10 10 to 15 15 to 20 20 to 25 25 to 30 frequency midpoint 1 2.5 1 7.5 0 12.5 2 17.5 1 22.5 6 27.5 frequency 25 to 30 20 to 25 15 to 20 frequency 10 to 15 05 to 10 00-05 0 1 2 3 4 5 6 7 (x-mean)^2 frequency 7 Standard deviation Lower bound Upper bound 1 11.29 29.85 2 2.01 39.13 3 -7.27 48.41 numbers within the bound 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5 or 70% of the raw data 9.8, 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5, 30 or 90% of the raw data 1.3, 9.8, 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5, 30 or 100% of the raw data numbers without the bound 1.3, 9.8, 30 1.3 Amount of sugar Amount away from the mean 1.3 9.8 15.8 17.5 24.5 25.8 26.5 27 27.5 30 -19.27 -10.77 -4.77 -3.07 3.93 5.23 5.93 6.43 6.93 9.43 Standard deviation (-1 to +1) (-2 to +2) (-3 to +3) numbers within the bound 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5 or 70% of the raw data 9.8, 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5, 30 or 90% of the raw data 1.3, 9.8, 15.8, 17.5, 24.5, 25.8, 26.5, 27, 27.5, 30 or 100% of the raw data Amount of fat Amount away from the mean 11 13 15 15 17 18 22 23 26 30 Standard deviation (-1 to +1) (-2 to +2) (-3 to +3) -8 -6 -4 -4 -2 -1 3 4 7 11 numbers within the bound 13, 15, 15, 17, 18, 22, 23 or 70% of the raw data 11, 13, 15, 15, 17, 18, 22, 23, 26, 30 or 100% of the raw data 11, 13, 15, 15, 17, 18, 22, 23, 26, 30 or 100% of the raw data standard deviations away from the mean -2.0765086207 -1.1605603448 -0.5140086207 -0.3308189655 0.4234913793 0.5635775862 0.6390086207 0.692887931 0.7467672414 1.0161637931 numbers without the bound 1.3, 9.8, 30 1.3 standard deviations away from the mean -1.3170892328 -0.9878169246 -0.6585446164 -0.6585446164 -0.3292723082 -0.1646361541 0.4939084623 0.6585446164 1.1524530787 1.8109976951 numbers without the bound 11, 26, 30