MAT240_Discussion 1-1
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Southern New Hampshire University *
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240
Subject
Mathematics
Date
Apr 3, 2024
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docx
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Uploaded by AmbassadorPolarBearMaster1004
1-1
Discussion: Population, Samples, and Bias
Hello everyone! My name is Angela Hughes, but all my friends and family call me Angie. I’m from South Carolina and am the mama to 2 great kids and one spoiled rotten fur-baby. I am working towards receiving my bachelor’s degree in business administration, concentrating in human resource management. This is my sixth term at SNHU, and this was honestly the best decision I have ever made. When I graduated from high school, I attempted to attend college, but I didn’t like any of my classes, and kept changing my major, and eventually dropped out. I went on to get married and put college on the back-burner so to speak. But now I’m glad I waited, because my head wasn’t in the mindset that it is currently, and I don’t feel like I would have been as successful. A time in my personal or professional life that I used data was when I worked at a heating and air conditioning company and had to compare and keep records of the construction division’s employees’ hours worked and on what particular job. I had to make sure each job was billed correctly
for the labor hours, and some days one person might work on 4-5 different job sites.
Instructing Susan to stand at the front door of the school, as students entered for the day, and ask them upon passing what their movie preference is would be a way in which to take a sample that would not represent the population well. However, to take a sample that would represent the population well would be by asking 10 males and 10 females from each of the 9
th
, 10
th
, 11
th
, and 12
th
grades what their preference is. That would be asking 20 students total from each grade. My poorly taken sample from my suggestions, asking students as they enter the school, would be an example of convenience sampling. Convenience sampling is when units are drawn from a subset of the population that is readily available (zyBooks, 2024). This is represented in my suggestion because Susan can only stand at one door at the time, and every student doesn’t enter through that one door.
So, the population would not be represented well.
My suggestion to Susan that would represent the population well is an example of systematic sampling. Systematic sampling is when every k
th unit from a
population of N
units is selected to be in a sample (zyBooks, 2024). This is represented by taking 20 total students (10 male, 10 female) from each of the four grades (9
th
, 10
th
, 11
th
, and 12
th
). This would represent very well each gender and grade level. A sample is a representative subset of a population that is used to measure a parameter of the population (zyBooks, 2024). A sample must have random sampling and an appropriate sample size to accurately represent a population. You can determine whether a sample represents a population by looking for important characteristics that reflect the population. In this scenario, the population would be the student body of the school. By using systematic sampling our population would
be diverse in terms of gender and grade levels and would accurately represent the population.
zyBooks, a Wiley brand. (2024). MAT 240: Applied Statistics. https://www.zybooks.com/catalog/applied-statistics-with-data-analytics-r/#toggle-
id-1
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