# Mathematics

Module -1

The assignment this week is to collect quantitative data for a minimum of 10 days from ONE of your daily activities. Some examples of data collection include:

• The number of minutes you spend studying every day.

• The time it takes to cook meals each day.

• The amount of daily time spent talking on the phone.

• The amount of time you drive each day.

In a paper (1–3 pages), describe the data you are going to collect and how you are going to keep track of the time. Within the paper, incorporate the concepts we are learning in the module including (but not limited to) probability theory, independent and dependent variables, and theoretical and experimental probability. Discuss your predictions of what you anticipate the data to look like and events that can skew the data. Collect data for at least 10 days. Do you think the data will provide a valid representation of these activities? Explain why or why not.

Module-2

Using the data you collected in the Module 1 SLP, write a paper (1–3 pages) including all of the following content:

• Calculate the mean, median, and mode of your collected data. Show and explain your calculations.

• Are these numbers higher or lower than you expected? Explain.

• Which of these measures of central tendency do you think most accurately describes the variable you are looking at? Provide your justification.

• Create a box plot to represent the data, labeling and numerating all 5 points on the box plot. For the plot, you may draw and insert it in your paper as a picture. Make sure it is legible.

Module-3

Continuing with the data you collected in the Module 1 SLP, write a paper (1–3 pages) including all of the following content:

• Include your data from Module 1.

• Create a frequency distribution table for your data. You can use Excel or Word.

• Calculate the standard deviation.

• Calculate the variance.

• Is this a normal distribution? How do you know?

• What are the implications?

Module-4

In this assignment, you will continue to collect data for another 5–10 days. Write a paper (1–3 pages) including all of the following content:

• Recalculate the mean, standard deviation, and variance.

• Is your mean increasing or decreasing?

• Explain the effects of the larger sample size in relation to your data.

• Do you think the current sample you have is enough to draw an accurate conclusion, or do you need a larger sample?

• What conclusions can you draw from comparing both sets of data?

Module-5

Welcome to the final SLP. In this assignment, you will use regression and ANOVA to analyze your data. Write a 2- to 4-page paper summarizing the following points.

1. Take your data and arrange it in the order you collected it. Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N. For example, if you have 10 observations, then your new set of data would be (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). This set of data is called a time series. Run a regression using your original set of data as your dependent variable, and your time series as an independent variable. Go to the following site (using Google or Firefox) to calculate your regression: http://www.meta-calculator.com/online/?panel-403-regression-input. What is the regression equation? Interpret and explain your results.

2. Divide your data in half (or into two groups of 8 or less). Then use ANOVA to test if there is a significant difference between the two halves of your data. Use this site to input your data (http://statpages.org/anova1sm.html). Interpret and explain your results.

Summarize your conclusions at the end of the paper.