#### Do you want to… look at variability in a single variable?

*Timothy is interested in the height of students at his school. He records the heights of 40 random students and wants to analyze his data…*

### Box and Whisker Plots

#### A Box and Whisker Plot is a visual representation of a 5 number summary – the Minimum, Quartile 1, Median, Quartile 3, and Maximum.

#### This video is a 20 minute crash course in Box and Whisker Plots. It demonstrates the process of data collection and the manipulation of the data in excel. The video then explains what a box and whisker plot does and how to build one by hand or using Desmos. Included is a brief piece on the nuances of calculating Q1 and Q3 (there are two approaches and different software use one or the other). Please note that I misspoke a couple times (said Q3 insted of Q1 and said 5 chunks instead of 4), but hopefully it doesn’t detract from the learning. Sorry about that!

#### This video is shorter and demonstrates the use of a Box and Whisker Plot to analyze single variable data using plot.ly. Note that plot.ly has upgraded to plot.ly 2.0 so this video might be a little out of date.

#### This video shows some helpful tricks and tips in Excel that will be used in later videos.

#### This Powerpoint contains a great lesson idea to use with students that uses the Fire Model to introduce box and whisker plots. If you skip to slide 20 you’ll find the lesson summary.

### Histograms

#### Histograms are powerful tools for looking at *frequency* in single variable data.

#### This video is a crash course in Histograms which demonstrates data collection, the creation of a Histogram in Excel, the use of a Histogram to analyze single variable data, and the creation of a Histogram in NetLogo. You can find the NetLogo program and Excel file here.

#### This Powerpoint contains a great lesson idea to use with students that involves some simple measurement experiments to introduce the idea of variability and histograms. If you skip to slide 28 you’ll find the lesson summary.

### Standard Deviation

#### Standard deviation is a measure of *spread* and is one of the most important statistical tools because it is an essential component in many higher level statistical concepts. This video shows a few examples of standard deviation and its importance in descriptive statistics.

#### This video is a crash course in standard deviation showing what standard deviation measures, how it is calculated, using excel to find standard deviation, and using NetLogo with standard deviation. You can find both the model and excel file used in the video here.

#### Do you want to… compare two data sets in a single variable?

*Destiny scored 2100 on her SAT and 30 on her ACT. She wants to know which score is better… *

### Side by Side Box and Whisker Plots

#### Side by Side Box and Whisker Plots can be a powerful comparative tool which address both center and spread between two data sets in a single variable.

#### This video demonstrates how this tool can be used to foster rich discussions in both math and science classrooms.

#### This Powerpoint was shown earlier. It has a great lesson idea to use with students that uses the Fire Model to introduce box and whisker plots but the lesson also introduces side by side box and whisker plots. If you skip to slide 20 you’ll find a lesson summary.

### Z-scores

#### Z-scores allow for another level of analysis when comparing two data sets in a single variable taking into account standard deviation.

#### This video demonstrates how Z-scores can be used to compare data sets and make decisions. This file contains the NetLogo program and Excel file generated.