# Does The Presence Of An Authoritative Figure At Home Affect The Grade Point Averages Of Students In High School?

1551 words - 6 pages

Introduction
As someone who has always done well in school and who has always been supported by my parents, I have sometimes wondered if the continual absence of an authoritative figure at home affects the way students perform in school. Without authority, discipline, or encouragement, would high school students slack or fall behind in their studies? My ultimate goal is to test and analyze a survey of my high school to see if there is in fact a relationship between the absence of a respected adult and the grade point averages of my peers.

The main purpose of this investigation is to see if an authoritative figure at home affects the grade point averages of students in high school. This information or data for this investigation is to be gathered from the general populace of Park High School in Cottage Grove, Minnesota by way of an online survey. Since all of the students have access to their school provided iPads, it is convenient to take advantage of an online survey and post the link on the white boards in all of my classrooms. As some classes are populated by all four years in high school, I can apply this inquiry to a variety of the student populace. In the survey, students are asked how many hours in a five day school week they are left at home without a respected authority and what their grade point average is. The main reason for this analysis is merely personal curiosity towards the home environment and its effect on grades in high school; whether the survey shows that these two factors are independent or that they are dependent of each other, the result will only increase my curiosity towards this subject.
Plan of Investigation
I am “investigating” the relationship between hours spent at home alone and grade point averages in high school students. I will collect data from fifty students via an online survey in my own high school and will use a variety of math processes to analyze the data. The processes that are going to be included are as follows: a scatter plot to determine the relative correlation, Pearson’s correlation equation to truly analyze the relationship between the two factors and a χ^2 test to see if the hours spent alone at home are independent or not independent from high school students’ grade point averages.
Hypothesis: A high school student’s GPA relies on how often a figure of authority is at home with them.
H_O (Null Hypothesis): The number of hours a high school student spends at home without an authoritative figure is independent from their grade point average.
H_I (Alternative Hypothesis): The number of hours a high school student spends at home without an authoritative figure is not independent from their grade point average.

Mathematical Investigation
Collected Data

The graphs that are seen above and below are examples of utilizing technology in this investigation through Microsoft Excel. Not only has this program been very helpful in adding up totals for accurate results, it has...

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