Module I-2 Project Report - Santiago Linares

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Chesnut Hill College *

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Statistics

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Feb 20, 2024

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docx

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Santiago Linares Professor Epp Intro to Probability & Statistics Project Report I.2 Throughout this project, we were tasked with examining a bag of M&M candies, counting the total number of candies, and categorizing them by color. For this report, I'll be focusing on Jake's sample. In Jake's bag, there were a total of 16 candies: 1 brown, 1 red, 6 orange, 2 yellow, 1 green, 5 blue, and no black or purple candies. We created tables and graphs specifically for Jake's sample and then compiled data for the entire class. Descriptive statistics were employed in this report as we were dealing with a sample, not an entire population. This method simplifies the process by summarizing the sample's properties in tables and graphs once the data is recorded. We used a pareto chart for visualizing the distribution of candy colors since it best displayed the color frequencies in the sample. This data was discrete as it involved countable information, and the measurement level was nominal, categorizing the candy colors without any ranking. Convenience sampling was used in this project as we gathered data from students in a classroom, not employing a non-random sampling method. Each participant counted their candies and reported the findings. This study was observational rather than experimental, as there was no manipulation—just observation and counting of the candies from the M&M bag. While compiling this report, I faced challenges in recalling specific concepts and professional terms, necessitating a review of my notes.
Initially, I expected each M&M bag to contain an equal number of candies for each color. The results from both my sample and the class sample aligned with my expectations, showing a relatively balanced distribution of colors. There was a slight discrepancy between orange and blue compared to the other colors, which was evident in the table and charts but not significantly different. Upon comparing my results with manufacturer data, I observed slight differences in some colors, more noticeable in others. Various sources mention that colors might vary based on the manufacturer and location. From this, I concluded that the location of the manufacturer influences the preferred colors for candies, contributing to variations in M&M bags. Ultimately, this report serves as an example of collecting data using descriptive statistics and comparing it with external sources through research. Appendices Jake Colo r Freque ncy (Count) Relative Frequenc y (Percenta ge) Black 0 0 Brow n 1 6.25 Red 1 6.25 Oran ge 6 37.5 Yello w 2 12.5 Gree n 1 6.25 Purpl e 0 0
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