Math 1040 Intro to Statistics
The purpose of our term project is to demonstrate the key concepts of introductory statistics. This is accomplished by taking a sample of the number of candies in a 2.16 oz skittles bag and the frequency of each color of candy. Using the collected data we calculate and compile descriptive statistics. Once we have the descriptive statistics we create several charts to more easily make sense of the sample. Then we create confidence intervals for the population based on the sample and create 2 hypothesis tests. At each stage the data is analyzed to better understand the population of skittles bags. Basically I learned how to analyze quantitative data in specific ways to get a good picture of the population parameters.
I have already taken most of the math courses at SLCC through calculus 3 and differential equations. This background helped me better understand the values we were finding with these equations. Since this was an intro class we didn’t really go too far into derivations of equations and what exactly the values we found meant. For example a probability being the area under the curve of a distribution is most likely based in calculus 2 integration techniques. I will have to take an upper division stats/probability course to finish my math minor and the basic concepts learned here will help a lot.
When it came to interpreting the values given from certain tests or equations that’s where most of the problem solving came in. Coming up with a 95% confidence interval for the proportion of orange candies in the population of skittles candies required knowledge of normal distributions. I found the values at each end of the normal distribution where there is .025 area on either side. Then I interpreted the results, I am 95% sure the proportion of orange candies will be in the interval. This class helped me advance my result interpretation skills which is a key part of problem solving.
The main thing this project did to change the way I think about/view real world math application is view how statistics are compiled and interpreted. Now when I see a statistic given I can scrutinize it properly and try to see if I can recreate the values they got or see if they are trying to use misleading data or make data seem like something it’s not. I could also use what I learned here to do things like quality testing. I am a computer scientist and one day might have to make a program that gives accurate statistics that are readable and useful what I learned here could help a lot. Overall this class did advance my understanding of math application and will come in handy.
I have already taken most of the math courses at SLCC through calculus 3 and differential equations. This background helped me better understand the values we were finding with these equations. Since this was an intro class we didn’t really go too far into derivations of equations and what exactly the values we found meant. For example a probability being the area under the curve of a distribution is most likely based in calculus 2 integration techniques. I will have to take an upper division stats/probability course to finish my math minor and the basic concepts learned here will help a lot.
When it came to interpreting the values given from certain tests or equations that’s where most of the problem solving came in. Coming up with a 95% confidence interval for the proportion of orange candies in the population of skittles candies required knowledge of normal distributions. I found the values at each end of the normal distribution where there is .025 area on either side. Then I interpreted the results, I am 95% sure the proportion of orange candies will be in the interval. This class helped me advance my result interpretation skills which is a key part of problem solving.
The main thing this project did to change the way I think about/view real world math application is view how statistics are compiled and interpreted. Now when I see a statistic given I can scrutinize it properly and try to see if I can recreate the values they got or see if they are trying to use misleading data or make data seem like something it’s not. I could also use what I learned here to do things like quality testing. I am a computer scientist and one day might have to make a program that gives accurate statistics that are readable and useful what I learned here could help a lot. Overall this class did advance my understanding of math application and will come in handy.
stats_term_project.docx | |
File Size: | 67 kb |
File Type: | docx |
eportfolio_reflection.docx | |
File Size: | 13 kb |
File Type: | docx |