# Summary statistics.

Overview

The purpose of this Survey Project is to show your understanding of everything you have learned in the first half of our class. You will write a survey, collect data, find summary statistics and make graphs. You will apply all the previous statistical concepts you have learned in chapters 1-3 to a topic of interest to you. You will present your results in graphical form and compute numerical summaries. You will also discuss if there exists any bias in your data and what type of bias.

Instructions

1. Write a survey with at least seven (7) questions: at least four (4) questions that are quantitative and at least three (3) questions that are qualitative. You can have more if you would like and they can be either quantitative or qualitative. Try to have a least one or two of the quantitative variables be continuous, ratio data.

a. Pick a topic that is of interest to you.

b. For the quantitative questions, think about something that may have a relationship that can be shown on a scatter plot.  You do not need do all possible graphs but you do need to plot at least one scatter graph (this requires two quantitative variables).

c. With COVID, you may not want to talk directly to people so you can use Google Forms or Facebook.  Feel free to use a different survey tool if you prefer.  I will be demonstrating Google Forms in class.

2. Collect the data.

a. Collect the data from at least 30 people or about 30 things.

3. Enter the data into Excel or Google Sheets.  I recommend Excel as we have been using Excel templates in class.

a. Let the first column in Excel be your subjects (numbered 1 – number of subjects you have) and each following column the answers to each of your questions. It is always a good idea to gather your data before you analyze it so this is an important step!

4. Summary Statistics

a. For EACH question that is quantitative you need to find the following summary statistics by hand, using your calculator or using Excel.

b. Summary Statistics: Mean, median, mode, variance, and standard deviation.

5. Create Graphs

a. Create a pie chart for one set of qualitative data.

b. Create a bar chart for a different set of qualitative data.

c. Create a frequency table for one set of quantitative data.

d. Create a histogram for one set of quantitative data.

e. Create a scatter diagram for two of your quantitative data sets that you think are related and find the correlation.  Evaluate the quality of the correlation and comment on why they may or may not be correlated.

6. Write a paper that includes all of the above. The paper should be double spaced and size 12 font. Your paper should specifically include and address the following:

a. Cover page

b. Intro- Background information – why you are interested in the topic and what background information we need to know to understand the topic.

c. Data collection- include your questions, how you collected your data, and what bias may have occurred while collecting your data. Turn in your excel spreadsheet as well.

d. Summary statistics- for each quantitative question include, in paragraph form, the summary statistics.

e. Graphs- include each graph in the body of your paper. Explain what each graph is and what each graph shows you. Make sure to include which question it represents. For the scatter plot make sure to comment on the relationship and include r.

f. Conclusion/Summary- what did you learn?, were there any results that were surprising?, what would you have done differently?, are there additional questions you would like to ask?, what is your personal reaction?

g. References that you used. Many of you will not have references. Please list your textbook if you did not use any other source so you earn these points.

7. Submit your completed work here as a docx, or .pdf file format.