MISSION 444

# The Mean

In Statistics Fundamentals, we completed the workflow illustrated below. We learned to use frequency distribution tables to bring the data to a comprehensible form to find patterns. Frequency tables, however, are not the only way of bringing data to a comprehensible form.

Throughout this mission, we'll learn how to summarize the distribution of a variable a single value: the mean. Although we already learned about the mean in previous courses of the data analyst in R path, we discuss the concept again here to give the explanations much more depth.

You'll learn how to define the mean algebraically, the difference between population mean and sample mean, and discover why the mean is the balance point of a distribution.

While exploring how the mean can be used to summarize a distribution, we'll be working with a dataset that describes characteristics of houses sold between 2006 and 2010 in Ames, Iowa

As you work through each concept, you’ll apply what you’ve learned from within your browser; there's no need to use your own machine to do the exercises. The Python environment inside of this course includes answer-checking to ensure you've fully mastered each concept before moving on to the next.

#### Objectives

• Learn why the mean is the balance point of a distribution.
• Learn how to distinguish between the sample and the population mean.
• Learn why the sample mean is an unbiased estimator.

#### Mission Outline

1. Introduction
2. Generating a distribution
3. The Mean
4. The Mean as a Balance Point
5. Defining the Mean Algebraically
6. An Alternative Definition
7. Introducing the Data
8. Mean House Prices
9. Challenge: Estimating the Population Mean
10. Estimates from Low-Sized Samples
11. Variability Around the Population Mean
12. The Sample Mean as an Unbiased Estimator
13. Next steps
14. Takeaways

Course Info:

## Statistics Intermediate: Averages and Variability

Intermediate

The median completion time for this course is 7.4 hours. View Details

This course requires a basic subscription. It includes five missions, and one guided project. It is the 8th course in the Data Analyst in R path.