MTH 245 George Mason High School Exploratory Data Analysis Project

User Generated

Nnengv12

Mathematics

MTH 245

George Mason high school

MTH

Description

Purpose:

This project is to help you apply concepts to real world, real data analysis. In the real-world computers do most of the hard work for statisticians.  This project will help you understand how an informative decision is made using data analysis.  After completing this project, you should be able to determine which statistical procedures are appropriate; use StatCrunch to carry out the procedures and interpret the output

The Database of UVA (Excel file) students contains information on the undergraduate students at University of Virginia. This list contains the data for different Qualitative and Quantitative variable. Your project is to obtain the results based on the following questions using StatCrunch. Copy the StatCrunch results (graph plus answer) into summary document using the guidelines in section C.

Directions:

Do all of the work below with the Database of MATH ACT SCORES Download MATH ACT SCORES

Data: The Data set is on the project page on canvas(MATH ACT SCORES). Use StatCrunch  to obtain results for the following questions.

A) Exploratory Data Analysis

Obtain the mean and standard deviation for ACT Math scores for each class level (freshmen, sophomores, juniors, seniors) and interpret the results

Obtain the five number summary of ACT Math score for each class levels. Do any of these class levels have outliers?

Construct a boxplot and use it to investigate the data for outliers

Construct a histogram, and normal probability plot (QQ Plot) for ACT Math score for each class level.

B) Inferential Statistics

Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.

Using regression analysis (hint, use scatter plot, r, r2 ) , investigate if there is a relationship between Age and performance in ACT Math score.; . provide an equation can be used to predict ACT math score based on age,

Write a Summary and Findings of the Project

  • C) Write-up

               Write a brief introduction of the project.

o             Interpret the mean, and standard deviation in context of the data given.

  1. o             Compare the measures of center and comment on which measure of center would best describe the data                      given.

o             Comment on the shape of the distribution, which class level appears to be more approximately normal

  1. o             Are there any outliers in the data? Include results of your investigation for outliers. Identify which class level                 has an outlier
  2. o             Comment on your assessment of normality.
  3. o             Which test will be most appropriate for the inferential statistics (confidence Interval)? Z-test or t-test? Why?
  4. o             Write an interpretation for the confidence interval estimate in context of the data.

o             State the summary, interpretation and conclusion of your Investigation if there is a relationship between                     Age and performance in ACT Math score of undergraduate student at UVA.; Provide an equation can be used               to  predict ACT math score based on age; how reliable would  the prediction be?

Unformatted Attachment Preview

SEX AGE CLASS F 22 Junior M 21 Senior F 22 Senior M 21 Sophomore M 22 Senior M 21 Junior F 20 Freshman F 22 Senior M 20 Sophomore F 23 Junior F 20 Sophomore F 22 Senior M 20 Sophomore F 22 Senior F 21 Senior F 22 Senior F 21 Junior M 21 Senior F 19 Sophomore M 19 Sophomore F 20 Freshman M 22 Senior M 23 Senior F 23 Sophomore M 19 Freshman M 22 Senior M 21 Senior F 20 Freshman F 21 Sophomore F 24 Senior M 23 Senior F 19 Sophomore M 19 Sophomore M 18 Freshman F 20 Junior M 22 Senior M 19 Sophomore F 20 Sophomore M 21 Senior F 27 Senior M 19 Sophomore F 20 Sophomore F 19 Sophomore F 21 Senior M 20 Freshman F 21 Senior MATH 28 23 25 19 28 26 14 23 18 22 23 26 24 24 18 27 20 25 21 26 22 28 28 25 18 25 28 21 26 18 21 20 30 25 25 25 25 20 32 18 21 28 27 27 25 22 F M F F M F M M M F M M F F F M F M M M M M F M F F M F M F M F F F F M F M F M F F F M M F F 19 21 21 21 20 23 20 21 22 20 21 19 21 20 22 20 22 20 23 20 22 22 21 18 22 19 21 18 20 21 19 21 19 19 20 19 20 22 21 19 18 21 21 20 18 20 19 Sophomore Junior Senior Junior Junior Senior Sophomore Sophomore Senior Junior Junior Freshman Senior Junior Junior Sophomore Junior Freshman Senior Junior Senior Junior Sophomore Freshman Junior Freshman Junior Freshman Sophomore Junior Freshman Senior Sophomore Sophomore Junior Freshman Junior Senior Senior Freshman Freshman Sophomore Senior Sophomore Freshman Junior Sophomore 26 17 21 19 23 25 19 27 21 19 23 26 21 24 16 22 21 25 24 23 27 18 18 30 24 24 30 21 20 22 23 24 20 19 21 31 23 26 20 19 26 21 21 27 26 26 26 F M F M M M F M F M F F F F F F F F F F M M F F F F F M M M F M M M M F M M M F M M F F F M F 20 20 19 23 21 19 19 22 22 22 21 19 22 22 20 18 21 22 18 20 22 24 21 19 20 21 21 20 22 20 21 20 35 20 21 19 22 21 21 19 22 20 22 22 19 20 23 Junior Sophomore Sophomore Senior Junior Sophomore Sophomore Senior Senior Senior Sophomore Freshman Senior Senior Sophomore Freshman Senior Senior Freshman Sophomore Junior Senior Junior Sophomore Junior Junior Junior Sophomore Senior Sophomore Senior Sophomore Senior Sophomore Senior Freshman Senior Junior Junior Sophomore Senior Sophomore Senior Junior Freshman Junior Senior 25 24 23 24 25 30 25 27 26 26 21 20 25 30 22 24 22 23 20 21 20 24 19 21 23 20 18 24 31 21 24 15 28 22 29 24 21 26 27 26 22 28 19 28 22 28 23 F M M M F M F F F F F M M F M F F M F F M M F F F F F F F F F F F F F F M F F F F M F M M M M 19 22 21 22 20 21 20 21 18 23 20 23 22 20 22 20 19 23 21 19 20 21 18 20 20 20 19 19 20 20 20 21 21 22 35 22 22 20 19 20 22 21 22 20 20 22 24 Freshman Senior Sophomore Senior Sophomore Senior Junior Junior Sophomore Senior Sophomore Senior Junior Sophomore Senior Junior Sophomore Senior Junior Sophomore Junior Junior Freshman Junior Sophomore Junior Sophomore Sophomore Sophomore Sophomore Sophomore Junior Senior Senior Junior Senior Junior Junior Freshman Junior Junior Senior Junior Junior Sophomore Senior Senior 18 29 17 25 23 20 17 26 25 24 26 27 24 21 24 30 32 23 34 25 26 26 27 26 17 30 16 26 17 23 18 29 23 21 17 27 27 28 23 29 15 25 23 31 19 27 20 M M F F F F F F F F F F F 22 19 21 19 22 32 21 18 20 21 20 22 20 Senior Sophomore Junior Sophomore Junior Senior Junior Freshman Sophomore Junior Sophomore Senior Sophomore 19 29 19 26 24 26 32 24 18 19 29 21 20
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Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.Hey there, I hope you are doing wellHere is the word document with the parts you need for your final project.😊 Please, let me know if you have any questions about it 😀

Outline for Math project
This is a brief outline to explain the order of the final document.
1. Cover
2. Write up
2.1 Introduction
2.2 Exploratory Data Analysis
2.3 Inferential Statistics
3. Appendix


Title: Final Project
Course Number:
Section Number:
Student Name:



Write Up

Introduction.
This project will help to apply statistics concepts to real world, real data analysis. The
project will help students to understand how an informative decision is made using data
analysis.
Exploratory Data Analysis
Obtain the mean and standard deviation for ACT Math scores for each class level
(freshmen, sophomores, juniors, seniors) and interpret the results.
The mean for Freshman students was 23.12 with a standard deviation of 3.80. This suggests that
Freshman students got on an average score of 23.12 in ACT Math. Also, the standard deviation
suggests that the average distance between t...


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