Page > of 3 ZOOM Directions: Now that we have looked at the topics of statistics and normal distribution, we are ready to put our skills to task in a real-world project. . Follow all directions carefully in order to earn full credit. Be sure to show all requested work. Use the project template found in this module when doing your project. This project is worth 15% of your overall grade. This project will be graded on accuracy of solutions and completion of all questions. This project should be unique and include only your own work and research. Calculators, Excel, and Desmos may be used for calculations. Attach screenshots of your work. The project has five main parts that must be submitted: Description of Study and Data Collection Picturing the Data Calculation of Statistical Measures Normal Curve Distribution Comparison Project Summary and Analysis Grading Rubric: 4points for completion of Part 1(quantitative question; work shown; data set complete) 6 points for completion of Part 2(correct visualizations; work shown) Q Search aking news mp arrives at... 4+ 00 hp roject3a_Statistics_.docx Claimant Homepage 1. Download A Aberethe: formats: Info Page 1 > of 3 ZOOM + eaking news ump arrives at... < 4points for completion of Part 1(quantitative question; work shown; data set complete) 6 points for completion of Part 2(correct visualizations; work shown) 12 points for completion of Part 3(correct formulas, accurate calculations, work shown, thorough and accurate explanations) 5 points for completion of Part 4(thorough explanation; accurate calculations, work shown) 3 points for completion of Part 5(thorough explanation, summary, reflections) PART 1: Description of Study and Data Collection (4 points) Step 1: Choose a Question Choose an observational quantitative study question. Some examples include: What are the heights of a group of friends or family members? How much did a group of individuals weigh at birth? How many times do individuals check their email daily? (or replace email with Facebook or Snapchat or Twitter, ... ) In an observational quantitative study, the data you receive should be numeric". Feel free to contact the professor if you have an idea for a study and want to make sure it will be acceptable. Step 2. Collect Data Ask at least 30 subjects the question you chose in step 1 and record the data set here. Search hp Finance headline Oil refining in ru... Page < 1 of 3 Step 2. Collect Data Ask at least 30 subjects the question you chose in step 1 and record the data set here. Note: For those who do not have people to ask, a series of data sets are included at the end of this project. Or, you may instead search for a data set on the internet that answers your question from step 1. (If using a data set at the end of the project, you must list out the complete data set here. You MATH 120/Math 120E - PROJECT 3 STATISTICS cannot just state refer to the back of the project. If using a data set from the internet, you must supply the link to the study and list out the complete data set here. I need to see the "raw data numbers in this step".) Q Search hp ? M ZOO Upcoming Earnings D Page < 2 > of 3 0 PART 2: Picturing the Data (6 points) Step 3: Create a Frequency Distribution Table Create a frequency distribution. (You may need to break up your data into class intervals if you have a wide range of values.) Step 4: Create a Histogram and a Frequency Polygon Create a histogram and a frequency polygon for the data. (You may draw these by hand or use Excel or Desmos to assist you.) PART 3: Calculation of Statistical Measures (12 points) Step 5: Calculate Mean, Range, and Standard Deviation/Explain 1. Calculate the mean, range, and standard deviation for the data set. (You may calculate the by hand or use Excel or Desmos to assist you) Q Search D 40 % 5 4 6 & 46 7 8 ZOOM + 4) b 4/ Upcoming Earnings Download A Alternative formats Page < 2 > of 3 0 PART 3: Calculation of Statistical Measures (12 points) Step 5: Calculate Mean, Range, and Standard Deviation/Explain 1. Calculate the mean, range, and standard deviation for the data set. (You may calculate the by hand or use Excel or Desmos to assist you.) 2. Interpret your results in context of your study. That is, write an explanation of these measures in terms of how they apply to your data. Hint: For instance, if you have a data set with mean 62 inches, standard deviation 4 inches, and range 21 inches, you might explain, "The average height of students in my class is 62 inches give or take 4 inches with a spread of 21 inches from lowest to highest height." Step 6: Calculate Median/Explain 1. Calculate the median for your data set. (You may calculate by hand or use Excel or Desmos to assist you.) 2. Interpret your result in context of your study. That is write an explanation of this measure in terms of how it applies to your data. Hint: For instance, if median of the data set is 60 inches, you might explain, "Half of the students surveyed are shorter than 60 inches and half of the students surveyed are greater than 60 inches." Q Search % 5 6 & 7 8 Chp ZOOM + 6:07 PM 4/22/2024 Upcoming Earnings Download A Alternative formats Page < 3 of 3 0 ZOOM + Step 7: Calculate Five-Number Summary Find the five-number summary that applies to your data set. (You may calculate by hand or use Excel or Desmos to assist you.) 4 Step 8: Draw Box Plot Draw the box plot that applies to your data set. (You may calculate by hand or use Excel or Desmos to assist you.) PART 4: Normal Curve Distribution Comparison (5 points) Step 9: Evaluation of Data as Normal Distribution Looking at your histogram, would you say your data has a normal distribution? Yes or No? Explain your reasoning why or why not. 02 Q Search 06 5 6 P 7 8 hp O A 6:07 PM 4/22/2024 _Project3a_Statistics_.docx 1 Upcoming Eamings Download A Alternative formats Page < 3 of 3 D ZOOM + Step 10: Use Empirical Rule on Data Set/Interpret 1. Despite the results from step 9, let's assume that your data set is part of a larger set of data that is normally distributed. Apply the Empirical Rule (68%-95%-99.7%) to your data set. Determine the values in which 68%, 95%, and 99.7% of your data lie. 2. Interpret your results in context of your study. PART 5: Project Summary and Analysis (3 points) Step 11: Conclusion After collecting, describing, and analyzing your data, writes a few sentences describing your conclusions from all your results. What can you conclude from your data? Did you make any interesting discoveries? Did you learn anything from this process? Write a paragraph to summarize and address these questions. Q Search hp +D 4) b 4/ y Page 1 > of 7 0 ZOOM + / Description of Study and Data Collection Step 1. Observational Study - Question to be addressed: How many times a week do parents take their kids to practice Brazilian Jiu Jitsu BJJ (martial art)? Step 2. Raw Data 30 people questioned at BJJ: 1)2 6)7 11)5 16)1 21)3 26)6 2)5 7) 4 3)5 8)3 12)6 177 22)5 27)7 13)3 18)5 23)2 28)7 4)4 9)2 14)5 19)4 24)4 29)3 5)4 10)5 15)4 20)4 25)5 30)5 Picturing the Data Q Search 44 40 * hp 6:08 PM 4/22/2024 93F Windy Picturing the Data Step 3: Frequency Distribution (Draw or place the image here.) 5 Number of Days, Kids Go To "BJJ" Frequency Practice 1 1 2 3 3 4 4 7 5 9 6 2 7 4 Q Search hp 00 80 9 D Page 1 > of 7 E 0 ZOOM + 4) b 6:0 4/22/ K 93F Windy Page < 2 > of 7 Step 4: Histogram and Frequency Polygon. (Draw or place the images here.) 141 10 9 8 7 6 How many times a week kids go to practice "BJJ 5 3 2 -2 N -3 -2 -1 0 3 567 8 9 10 Q Search 20 S How times a week kids go to practice "BJ" 12 -11- -10 9 8. 7 6 hp 2 1 3 6 9 10 11 Number of days kids go to practice "BJJ" 6 7 8 0 O U O A ZOOM + 6:08 A 4/22/2 K 93F Windy Page < 3 > of 7 D Step 5: Mean, Range, Standard Deviation (If calculating by hand, show all your work below. If using Excel or Desmos, indicate the tool you used and insert the image created by the tool here.) Stdev (L)= 1.58875357782 (Desmos.com) Mean (L)= 4.4 Range=7-1 = 6 S stdev (2) mean (1) 158375357782 median (I) Q Search hp 4+ 90 5 6 & 7 8 ZOOM + 4) b Page < 3 > of 7 0 ZOOM - 4.5 Explanation of these measures in terms of how they apply to your data. A parent takes their child to "BJJ" practice 4.4 days or 4 days a week with a standard deviation of 1.58 or 2 days. The difference or range between the attending practice seven days a week to only attending one day a week is six days. 93F Windy Q Search 40 95 4+ & 5 LE hp 80 4) b W Page 4 of 7 D Step 6: Median (If calculating by hand, show all your work below. If using Excel or Desmos, indicate the tool you used and insert the image created by the tool here.) Median (L) = 4.5 (Desmos.com) stdev (2) mean (2) = 1.58875357782 median (2) A = 4.4 93F Windy Q Search hp ZOO CELET 4 4+ 141 ct3Statistics_Sample2-2-1-1.par L Download A Alternative formats Page < 4 > of 7 0 ZOOM + Explanation of "median" in terms of how it applies to your data. The median of my acquired data is 4.5, it explains the average amount of days that parents take their kids to practice. 93F Windy Q Search hp 4 4/ Project3Statistics_Sample2-2-1-1.pdf 93F Windy h Download A Alternative formats Page < 5 > of 7 0 ZOOM + Step 7: Five-number summary (If calculating by hand, show all your work below. If using Excel or Desmos, indicate the tool you used and insert the image created by the tool here.) (1,3, 4.5, 5, 7) are my five-number summary / Desmos.com Step 8: Box Plot (Draw or place the image here.) week kids go to practice "BJ" 12 111 10 9 8 Jo % Q Search 40+ 90 hp 4) b 93F Windy 2 10- How many times a week kids go to pradice "BJJ 9 8 6 5 E R SAMPLE 2 B 15 6 Number of days kids go to practice "BJJ" Q Search 5 d- 6 4+ & hp 7 8 9 Y 2 O P 6:09 4/22/20 93F Windy Normal Curve Distribution Comparison Page < 6 to of 7 Step 9: Normal Distribution? Yes or No? Why or why Not? No, the data shown on the table is not a normal distribution because at the end of the table the data peaks back up again. In a normal distribution the data peaks up and lowers down in a bell curve. Step 10: The Empirical Rule (68%-95%-99.7%) and calculations. Stdev: 1.58 Mean: 4.4 Go 5 Search 6 4+ 8 9 - ZOOM + 6:09 P mbp 4/22/20 1 93F Windy Step 10: The Empirical Rule (68%-95%-99.7%) and calculations. Stdev: 1.58 Mean: 4.4 Page < 6 > of 7 0 MPLA -0.34 1.24 2.82 4.4 5.98 7.56 9.14 Interpret your results in context of your study. 68% of kids go to practices between 2.28 and 5.98 times a week, 95% go between 1.24 and 7.56 times a week, and 99.7% go between -0.34 and 9.14 times a week. S Q Search 4+ & 7 8 9 O - ZOOM + 4) b Page < < 7 of 7 D - Project Summary and Analysis Step 11: Summary and Analysis After reviewing the data I collected from the parents of the children who go to Brazilian Jiu Jitsu "BJJ", I saw that most of the kids go to practice five times a week. I can only conclude that most parents take their children during the week and give them the weekend off from practice. Although the median of days is 4.5, four days a week was trailing closely behind five days a week. Some parents may give their children a third day off from practice most likely due to schoolwork; or to get a head start for the weekend. I learned that the least favorable amount of days a kid goes to practice "BJJ is once a week and six days a week. Yet seven days a week scored higher than six days week, this is interesting because there is only one day difference perhaps is due to kids who are training for competitions. I learned that five days a week are the most favorable, and one day a week is the least favorable. Q Search hp ZOOM + A