Project 1: Which season is your favorite?
For my first project, my partner and I chose to perform a senior class survey in which we asked each student what their favorite season was. Instead of seeking each person to ask them, my partner and I sent out an email using Google Forms and that seemed to work out best. It was a quick and easy way to contact everyone. The results were quite shocking to me. Out of twenty-five students, 13 said that fall was their favorite season, 8 said that summer was their favorite, 3 said spring, and only one student said that winter was their favorite season. Our survey was not biased and the data represented the nominal level of measurement because the variable is name associated and it is labeled in categories.
For my first project, my partner and I chose to perform a senior class survey in which we asked each student what their favorite season was. Instead of seeking each person to ask them, my partner and I sent out an email using Google Forms and that seemed to work out best. It was a quick and easy way to contact everyone. The results were quite shocking to me. Out of twenty-five students, 13 said that fall was their favorite season, 8 said that summer was their favorite, 3 said spring, and only one student said that winter was their favorite season. Our survey was not biased and the data represented the nominal level of measurement because the variable is name associated and it is labeled in categories.
Project 2: How many McDonald's are in each state in the United States?
My second project was much different from the first. My partner and I researched a topic in which we chose the number of McDonald's in each state in the United States for 2016. From there, together we organized the data in order from greatest to least. My partner and I used Google Sheets to organize our data because it is very helpful and easy to use when dealing with a large set of data. After our data was organized, we were able to construct a histogram, stem and leaf plot, circle graph, pareto chart, etc., of our data. In our research, we found that it does not matter how big or small the state is to determine the amount of McDonald’s in it. My partner and I were also able to determine which graphs were a most appropriate display of our data.
My second project was much different from the first. My partner and I researched a topic in which we chose the number of McDonald's in each state in the United States for 2016. From there, together we organized the data in order from greatest to least. My partner and I used Google Sheets to organize our data because it is very helpful and easy to use when dealing with a large set of data. After our data was organized, we were able to construct a histogram, stem and leaf plot, circle graph, pareto chart, etc., of our data. In our research, we found that it does not matter how big or small the state is to determine the amount of McDonald’s in it. My partner and I were also able to determine which graphs were a most appropriate display of our data.
Project 3: How many scary movies have you watched during October?
For our third project, my partner and I decided to get into the Halloween spirit and did a random survey of every three freshmen, sophomores, juniors, and seniors. We asked them how many scary/Halloween movies they had watched during the month of October. Instead of using Google Forms, my partner and I surveyed each person in person. As difficult as it was, you would be surprised by how many people don't check their emails. So, surprisingly, with such a large number of people to survey, our alternate method worked best. With the data that we collected, we ordered it from least to greatest in Google Sheets and then computed the mean, median, mode, range, etc. We found that most people watched between 0 and two scary/Halloween movies during the month of October. As the numbers got higher, there were less people and by calculating various items such as the mean, variance, standard deviation, etc., we were able to better understand our data.
For our third project, my partner and I decided to get into the Halloween spirit and did a random survey of every three freshmen, sophomores, juniors, and seniors. We asked them how many scary/Halloween movies they had watched during the month of October. Instead of using Google Forms, my partner and I surveyed each person in person. As difficult as it was, you would be surprised by how many people don't check their emails. So, surprisingly, with such a large number of people to survey, our alternate method worked best. With the data that we collected, we ordered it from least to greatest in Google Sheets and then computed the mean, median, mode, range, etc. We found that most people watched between 0 and two scary/Halloween movies during the month of October. As the numbers got higher, there were less people and by calculating various items such as the mean, variance, standard deviation, etc., we were able to better understand our data.
Project 4: How many hours of Netflix, youtube, or TV do you watch and week and how many hours of homework do you do?
My fourth project was interesting and totally blew my partner and I out of the waters. We wanted to find out if the number of hours of Netflix, youtube, or TV watched compared to the number of hours of homework done per week correlated strongly with each other. To gather our data, we did the same sampling technique as I did in my third project. After gathering the data, we put it into a scatter plot and drew a least squares regression line. To our utmost surprise, the line was almost completely horizontal meaning that there was barely any correlation between the two. Not only did the scatter plot show us the correlation, but so did the correlation coefficient and the different x and y values. We learned that even though we thought that more people watched Netflix, TV, or youtbe more than they did their homework, many people have different family lives, social lives, and routines out of school that can affect this correlation.
My fourth project was interesting and totally blew my partner and I out of the waters. We wanted to find out if the number of hours of Netflix, youtube, or TV watched compared to the number of hours of homework done per week correlated strongly with each other. To gather our data, we did the same sampling technique as I did in my third project. After gathering the data, we put it into a scatter plot and drew a least squares regression line. To our utmost surprise, the line was almost completely horizontal meaning that there was barely any correlation between the two. Not only did the scatter plot show us the correlation, but so did the correlation coefficient and the different x and y values. We learned that even though we thought that more people watched Netflix, TV, or youtbe more than they did their homework, many people have different family lives, social lives, and routines out of school that can affect this correlation.
Project 5: Red or green marbles?
For my fifth project, my partner and I were given a topic from our teacher in which we had to compute the probability, permutation, combination and more for our given situation. We were given marbles in which there were 2 marbles we had to draw from a bag containing 5 green and 6 red marbles. My partner and I used different formulas and rules to find these outcomes in which was actually more simple than it looks. Along with finding combinations and permutations, we had to provide an example of when and where we would use them in real life. I really enjoyed this last project and find probability quite interesting!
For my fifth project, my partner and I were given a topic from our teacher in which we had to compute the probability, permutation, combination and more for our given situation. We were given marbles in which there were 2 marbles we had to draw from a bag containing 5 green and 6 red marbles. My partner and I used different formulas and rules to find these outcomes in which was actually more simple than it looks. Along with finding combinations and permutations, we had to provide an example of when and where we would use them in real life. I really enjoyed this last project and find probability quite interesting!
Project 6: Can you roll your tongue?
My partner Elizabeth and I defined a lot of terms in this project as a way to help others better understand some of the terms used in statistics and what they mean when applied to a situation. Some of these terms included: random variable, discrete and continuous variables, binomial experiment, expected value. After some brief explanations we applied what we knew from our explanations to our own binomial experiment. Our scenario was that 73% of people are able to roll their tongue If you can convince a group of 6 people to try it out, what is the probability all 6 can do it? What’s the probability that less than 5 can roll their tongues? Check out our project to find out!
My partner Elizabeth and I defined a lot of terms in this project as a way to help others better understand some of the terms used in statistics and what they mean when applied to a situation. Some of these terms included: random variable, discrete and continuous variables, binomial experiment, expected value. After some brief explanations we applied what we knew from our explanations to our own binomial experiment. Our scenario was that 73% of people are able to roll their tongue If you can convince a group of 6 people to try it out, what is the probability all 6 can do it? What’s the probability that less than 5 can roll their tongues? Check out our project to find out!
Project 7: How many times have you been out of state?
For our project, Cole and I randomly sampled students in Fowler High School about how many times they have been out of state. We first gathered our data by asking students and recording the data by hand. We randomly selected 50 students from the four class lists. We gathered the data and organized it into a histogram that helped us get a visual representation of our data. After that we plugged in data to find the mean and standard deviation. Along with finding how many times others have been out of state, Cole and I both added our own data and then calculated the intervals into which 68%, 95%, and 99.7% of our data fell into. These percentages show the percent of how many times a person has been out of state within the given interval.
For our project, Cole and I randomly sampled students in Fowler High School about how many times they have been out of state. We first gathered our data by asking students and recording the data by hand. We randomly selected 50 students from the four class lists. We gathered the data and organized it into a histogram that helped us get a visual representation of our data. After that we plugged in data to find the mean and standard deviation. Along with finding how many times others have been out of state, Cole and I both added our own data and then calculated the intervals into which 68%, 95%, and 99.7% of our data fell into. These percentages show the percent of how many times a person has been out of state within the given interval.
Project 8: What is your shoe size?
This project was a little bit different in which we were given a topic and set of data values from our teacher instead of picking a topic and finding the data ourselves. Each of the groups were given different topics in which we had to find the sample mean, standard deviation, confidence level, error, and more! Carter and I were given the topic of shoe sizes for eighth graders. For our purposes, we assumed that the data sets were random samples and mound shaped symmetrical, making normal distributions appropriate. Carter and I computed many different quantities that we used to plug in to equations to ultimately find the 90%, 95%, and 99% confidence intervals for the shoe sizes of eight graders. We used the formulas that are only used for surveying a sample, because there are different formulas to use if we were finding the population .
This project was a little bit different in which we were given a topic and set of data values from our teacher instead of picking a topic and finding the data ourselves. Each of the groups were given different topics in which we had to find the sample mean, standard deviation, confidence level, error, and more! Carter and I were given the topic of shoe sizes for eighth graders. For our purposes, we assumed that the data sets were random samples and mound shaped symmetrical, making normal distributions appropriate. Carter and I computed many different quantities that we used to plug in to equations to ultimately find the 90%, 95%, and 99% confidence intervals for the shoe sizes of eight graders. We used the formulas that are only used for surveying a sample, because there are different formulas to use if we were finding the population .
Project 9: Too much time on Facebook?
For our chapter 9 project, we surveyed 30 Fowler High School students to find out if the Facebook article still is up to date on the data they collected. According to the Business Insider Article, more than billions of Facebook users spend on average a time of 20+ minutes per day on Facebook. Michaela and I used statistics to test that average and projected hypotheses to help us do so. We found the sample mean and standard deviation, along with a t-value that helped us calculate a p-value which then told us whether or not the hypothesis made about the Facebook article was true or not. Check out what we have concluded based off of our studies, survey, and calculations!
For our chapter 9 project, we surveyed 30 Fowler High School students to find out if the Facebook article still is up to date on the data they collected. According to the Business Insider Article, more than billions of Facebook users spend on average a time of 20+ minutes per day on Facebook. Michaela and I used statistics to test that average and projected hypotheses to help us do so. We found the sample mean and standard deviation, along with a t-value that helped us calculate a p-value which then told us whether or not the hypothesis made about the Facebook article was true or not. Check out what we have concluded based off of our studies, survey, and calculations!