# Statistical Analysis/Unit 1 Content

## Unit 1

### Subunit 1.1: Introduction to Statistics

#### Statistics, Probability, and Key Terms

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 1: Sampling and Data

Instructions: Please read each of the linked sections above in their entirety.

#### Data and Sampling

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: "Chapter 1: Sampling and Data”

Instructions: Please read each of the linked sections above in their entirety.

#### Variation and Frequency

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 1: Sampling and Data”

Instructions: Please read each of the linked sections above in their entirety.

Instructions: Please view the lecture to the right in its entirety.

Instructions: Please solve problems 1-6 under the section titled “Key Terms” and problems 7-12 under the section titled “Discussion Questions.” Next, click on the hyperlink titled “[1]” and solve problems 1, 3, 5, 7, 9, 11, 16, 19, 21, 25-27. Please click on the “[ Show Solution ]” link below the problem to check your solution.

### Subunit 1.2: Descriptive Statistics: Displaying Data

#### Stem and Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read each of the linked sections above in their entirety.

#### Histograms

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read the section above in its entirety.

#### Box Plots

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read the section above in its entirety.

### Subunit 1.3: Descriptive Statistics: Measures

#### Measures of the Location of the Data

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read the section above in its entirety.

#### Measures of the Center of the Data

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read the section above in its entirety.

• Lectures: Khan Academy’s Statistics

Instructions: Please view the linked lecture titled “Statistics: The Average” in its entirety (12:35 minutes). This lecture provides an introduction to descriptive statistics and central tendency as well as ways to measure the average of a set using median, mean, and mode. Then, view the lecture titled “Sample vs. Population Mean” in its entirety (6:42 minutes). This lecture discusses the difference between the mean of a sample and the mean of a population.

#### Skewness and the Mean, Median, and Mode

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”
• “Section 8: Skewness and the Mean, Median, and Mode”

Links: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics,” “Section 8: Skewness and the Mean, Median, and Mode

Instructions: Please read the section above in its entirety.

#### Measures of the Spread of the Data

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 2: Descriptive Statistics”

Instructions: Please read the section above in its entirety.

• Lecture: Barbara Illowsky and Susan Dean’s Collaborative Statistics

Instructions: Please view the lecture to the right in its entirety.

• Lectures: Khan Academy’s Statistics

Instructions: Please view all four lectures in their entirety. First, view “Variance of a Population” (12:23 minutes). Secondly, watch the lecture titled “Sample Variance” (12:23 minutes), which explains how to estimate the variance of a population using the variance of a sample. Then, watch the video titled “Standard Deviation” (13:07 minutes), which will provide a review for what you have learned so far as well as an introduction to the standard deviation. Finally, watch the video titled “Alternate Variance Formulas” (12:17 minutes) to learn alternates for the variance of a population.

• Assignment: Barbara Illowsky and Susan Dean’s Collaborative Statistics: Chapter 2: Descriptive Statistics

Instructions: Please solve all the problems in these two sections. Next, click on the hyperlink titled “Homework” and solve problems 1, 3, 5, 7, 9, 12, 14, 15, 17, 21, 24-30. Please click on “[ Show Solution ]” link below the problem to check your solution