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# Mean, median, and mode.

Section 1: Quantitative Topic Descriiption
You may choose any topic you wish as long as it involves two different quantitative variables that you believe may be related in some way. You may not use
age for one of the two quantitative variables without instructor approval.
In a paragraph or two describe your topic by answering the following questions:
Why did you choose this topic and why is it of interest to you?
What do you think you will learn from analyzing the data?
What population will your samples represent?
What relationship do you believe exists between the variables (i.e. positive or negative correlation)? What potential sources of bias could occur due to your
sampling method?
Section 2: Quantitative Data Collection Methodology
Collect a samples of paired data where the sample size ( n ) is 60 or more.
For example, if you were interested in how work affects students’ grades, you could collect the GPA and the number of work hours for 40 students.
You must obtain your data by conducting a survey or by observation.
Other means of getting data may be used with instructor approval. In several paragraphs describe how you obtained your data, including the phrasing of the
Section 3: Quantitative Data Analysis
Analyze the two variables separately.
Treat the paired data you collected as two separate samples and calculate the following for each variable.
a. Calculate the mean, median, and mode.
b. Create a frequency distribution table. Include both relative and cumulative frequencies.
c. Calculate the range and then use the Range Rule of Thumb to estimate the standard deviation.
d. Calculate the standard deviation and the variance from the original data.
e. Calculate the 5-number summary.
f. Create a boxplot for the data.
g. Create a bar chart for the data.
(CONTINUED)
MTH 143 755 – Com pu ter Project 2 (CONTINUED) Section 4: Paired Data Analysis
Analyze the paired data to explore their relationship if one exists.
a. Create a scatter diagram for the paired data.
b. Calculate the correlation coefficient.
c. Calculate the slope and intercept for the regression equation. Write the equation in slope-intercept form. Round off the values to 3 significant digits.
Section 5: Conclusions
In several paragraphs describe any conclusions you could draw based on the analyses you have performed. Be sure to discuss the analysis of your x variable,
your y variable, as well as the paired data analysis. This should be your interpretation of the results, not just a summary. In other words, what do the values
you calculated tell you about the population from which you collected the data? Be sure to address whether or not the paired data analysis supports the type
of relationship you proposed in your topic description.

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