# Distinguishing Different Data?

- Author:
- Katherine, Michael Borcherds

## Statistics vs. Graphing

Would things like the mean, linear regression equation, standard deviation or correlation be needed for someone to fully understand the data without the graph?

## Statistical Descriptors

What elements are included in a Five Number Summary?

If I gave you a Five Number Summary about a particular data set, do you think that is enough information for you to determine what that set would look like when plotted? Explain why or why not.

## Statistical Descriptors

We've talked a lot about Linear Regression lately and should be familiar with this formula:*y = a + b x*

If I gave you a Linear Regression equation for a particular data set, do you think that is enough information for you to determine what that set would look like when plotted? Explain why or why not.

## Statistical Descriptors

We have also discussed the idea of correlation. A correlation coefficient is given by "r" and ranges from -1 to 1. What would a correlation of -.976 tell us about the trend of the data?

If I gave you the correlation coefficient for a data set, do you think that is enough information for you to determine what that set would look like when plotted? Explain why or why not.

## Make Your Own!

Each of the 4 data sets are unique, yet all of them share the basic statistical descriptors that we have been learning all semester. Which data set is your favourite? Please explain.

Now that we have discussed all of our descriptive statistical methods, which one(s) do you think give us the *best* understanding of the data? In other words, what mathematical information do we need in order to analyze different data sets? Explain why knowing this information would allow you to best draw conclusions.