Data Collection & Descriptive Statistics
Math 227: Project 1 - Data Collection and Descriptive Statistics In this project, you will demonstrate your understanding of data collection and descriptive statistics. You will collect the data, organize, summarize, and describe the data the way it is explained in Chapters 1-3. You will, then, create a written report including all parts below and turn in by the stated due date according to the guidelines provided in this paper Required.components: 1. Research Questions about a Population (Chapter 1) Question 1: Come up with a research question on making an estimate about a population proportion. (For example: What proportion of Los Angeles Mission College students are full time students?) Suate your Question and your estimated prediction of the results) Question 2. Come up with a research question on making an estimate about a population mean. (For comple: What is the average number of hours that Los Angeles Mission College students work cach weck?) State your Question 2 (and your estimated prediction of the results); 2. Collecting Data (Chapter 1) a) Create a curvey and collect the data for responses to your proposed questions above For question your survey should have a qualitative variable with only two posible response, Write your variable and the question below (For example: full time student status "Are you a full-time student, Yes or Not For question 2. your survey should have a quantitative variable. Write your variable and the question below (For example: number of hours of work in a week. "How many hours do you work each week?") b) Describe the data collecting process including the population of interest. For cach question, address if there was any of the following biases: Sampling bias, Non-response bias, and Response bias c) Enter your raw data in Column 1 (categorical data) and in Column 2 (numerical data)in StatCrunch. Name each column and save the data (DataSaveEnter the File Name Click Save). To later open the saved data in StatCrunch com, go to StatCrunch.com MyStatCrunch>My Data> LoadMy Data Choose the Name/Notes.) 3. Organizing, Summarizing, and Describing Data using StarCrunch (Chapter 2) 1) Open your saved survey data Organize your data for your categorical variable in column 1 into a frequency relative froquency table Save the distribution table (to open the saved results later in Sta.Crunch.com go to StarCrunch.com MyStatCrunch My Results Choose the Name/Notes) b) Construct a bar graph for a frequency distribution and for a relative froquency distribution for your categorical variable Display the value above the bar. Save the graph c) Construct a pie chart for the categorical variable Save the result d) Create a doplot and a histogram for your survey's numerical data in columm 2. Make sure that your histogram has appropriate width for the bins Display the value above the bar. Explain why your choice for the width makes sense for your specific data. Save your graphs 4. Describing Quantitative Data using StarCranch (Chapter 3) a) Open your survey data and the dotplot and the histogram for your survey's numerical variable Create a boxplot for the variable in column 2. Write a description of each graph (What does cach graph show you about your data, that you won't be able to easily see in the other graphis?). Save the boxplot b) Find the following sample statistics for the data set: Minimum value, Maximum valu, Mean, Motion, Mode, OL, OG Range, 10R and Standard Deviation. For each of these values write a sentence explaining what it tells you about the results in your survey. Please do not write about how they are calculated. The purpose of this exercise is to make sure that you understand the meaning for each of these statistics (not how you find it). So please don't include steps for finding each of these. You will be graded on your explanation of what each value tells us specifically about your sample Here's an cumple of how I will grade the sentence about the median if it related to the price of cars assuming tutti -The median 22,000 would give this po -The median ice of a car as 32.000 I would give this points -The median price of a car is 5 22.000.- I would give this point -The median price of a car is $ 22.000 which means half the cars are less than 522,000 and half more than $22.000 - 1 would give this points The median price of a car is $ 22,000 which means half the cars sold cost less than 522.000 and half oot more than $22.000 I would give this 6-points c) Describe and analyze the numerical data. What is the overall shape of the data ser Based on your answer, determine which measure of center (mean, median or mode) you think is best and why. Determine which measure of spread (IOR standard deviation or range) you think is best and why, Write a sentence explaining the real meaning of the center you found and 3 sentence explaining the real meaning of the spread you have found for your data & Summary Create a written report including all your findings from the questions above. What did you learn about the population of your interest from your data analysis? Please don't forget to address the answers to your initial research question 1 and question 2. Do you think your data represented the population well? Did the result match your initial predictions? Why why not? You will be graded not only on your analysis and graphs, but also on the quality of your writing. You should have an introduction paragraph discussing why this topic was important in the world or important to you and a conclusion paragraph summarizing your findings. Your report should be at least one and a half pages double spaced (front 12) not counting graphs Math 227: Project 1 - Data Collection and Descriptive Statistics In this project, you will demonstrate your understanding of data collection and descriptive statistics. You will collect the data, organize, summarize, and describe the data the way it is explained in Chapters 1-3. You will, then, create a written report including all parts below and turn in by the stated due date according to the guidelines provided in this paper Required.components: 1. Research Questions about a Population (Chapter 1) Question 1: Come up with a research question on making an estimate about a population proportion. (For example: What proportion of Los Angeles Mission College students are full time students?) Suate your Question and your estimated prediction of the results) Question 2. Come up with a research question on making an estimate about a population mean. (For comple: What is the average number of hours that Los Angeles Mission College students work cach weck?) State your Question 2 (and your estimated prediction of the results); 2. Collecting Data (Chapter 1) a) Create a curvey and collect the data for responses to your proposed questions above For question your survey should have a qualitative variable with only two posible response, Write your variable and the question below (For example: full time student status "Are you a full-time student, Yes or Not For question 2. your survey should have a quantitative variable. Write your variable and the question below (For example: number of hours of work in a week. "How many hours do you work each week?") b) Describe the data collecting process including the population of interest. For cach question, address if there was any of the following biases: Sampling bias, Non-response bias, and Response bias c) Enter your raw data in Column 1 (categorical data) and in Column 2 (numerical data)in StatCrunch. Name each column and save the data (DataSaveEnter the File Name Click Save). To later open the saved data in StatCrunch com, go to StatCrunch.com MyStatCrunch>My Data> LoadMy Data Choose the Name/Notes.) 3. Organizing, Summarizing, and Describing Data using StarCrunch (Chapter 2) 1) Open your saved survey data Organize your data for your categorical variable in column 1 into a frequency relative froquency table Save the distribution table (to open the saved results later in Sta.Crunch.com go to StarCrunch.com MyStatCrunch My Results Choose the Name/Notes) b) Construct a bar graph for a frequency distribution and for a relative froquency distribution for your categorical variable Display the value above the bar. Save the graph c) Construct a pie chart for the categorical variable Save the result d) Create a doplot and a histogram for your survey's numerical data in columm 2. Make sure that your histogram has appropriate width for the bins Display the value above the bar. Explain why your choice for the width makes sense for your specific data. Save your graphs 4. Describing Quantitative Data using StarCranch (Chapter 3) a) Open your survey data and the dotplot and the histogram for your survey's numerical variable Create a boxplot for the variable in column 2. Write a description of each graph (What does cach graph show you about your data, that you won't be able to easily see in the other graphis?). Save the boxplot b) Find the following sample statistics for the data set: Minimum value, Maximum valu, Mean, Motion, Mode, OL, OG Range, 10R and Standard Deviation. For each of these values write a sentence explaining what it tells you about the results in your survey. Please do not write about how they are calculated. The purpose of this exercise is to make sure that you understand the meaning for each of these statistics (not how you find it). So please don't include steps for finding each of these. You will be graded on your explanation of what each value tells us specifically about your sample Here's an cumple of how I will grade the sentence about the median if it related to the price of cars assuming tutti -The median 22,000 would give this po -The median ice of a car as 32.000 I would give this points -The median price of a car is 5 22.000.- I would give this point -The median price of a car is $ 22.000 which means half the cars are less than 522,000 and half more than $22.000 - 1 would give this points The median price of a car is $ 22,000 which means half the cars sold cost less than 522.000 and half oot more than $22.000 I would give this 6-points c) Describe and analyze the numerical data. What is the overall shape of the data ser Based on your answer, determine which measure of center (mean, median or mode) you think is best and why. Determine which measure of spread (IOR standard deviation or range) you think is best and why, Write a sentence explaining the real meaning of the center you found and 3 sentence explaining the real meaning of the spread you have found for your data & Summary Create a written report including all your findings from the questions above. What did you learn about the population of your interest from your data analysis? Please don't forget to address the answers to your initial research question 1 and question 2. Do you think your data represented the population well? Did the result match your initial predictions? Why why not? You will be graded not only on your analysis and graphs, but also on the quality of your writing. You should have an introduction paragraph discussing why this topic was important in the world or important to you and a conclusion paragraph summarizing your findings. Your report should be at least one and a half pages double spaced (front 12) not counting graphs
