Chapter 2:

 Come up to board and write the number of different types of social media YOU have used TODAY; write anywhere; no need to organize in any special way.  If you are male, please use a blue marker  If you are female, please use a black marker

 Number of different types of social media YOU have used TODAY; blue: male; black: female  One minute to talk to the person next to you about one observation you can make about our data; be prepared to share out your observation

 Number of different types of social media YOU have used TODAY; blue: male; black: female  First, it’s always helpful to...  Second, and probably more importantly, it’s always helpful to...

 Talk to the person next to you for 2 minutes. What type of graphical representation would you choose to best represent this data and why (your group doesn’t actually have to create the graphical representation at this time). Be prepared to explain/justify your reasoning/your choice.  Share out.

 Dot plots  Stem (and leaf) plots  Histograms  Box plots (later...)  (and much later)... Density curves, scatter plots, least-squares regression lines, Normal probability plots, etc.  Why didn’t I list pie charts or bar graphs?

We always want to create a graphical representation; visuals help us process information, indentify trends more easily We always label & scale our graphical representations We always use technology when available (no need to create graphical representations by hand)

 Dot plot... What’s good about dot plots? What’s not so good?  Histogram... What’s good about histograms? What’s not so good?

 Stem (and leaf) plots... What’s good about stem plots? What’s not so good?  Box Plots... In Stat Crunch, but will learn much more about box plots later...

 Go to my website, click on COC Math 140 Survey Data spreadsheet. Find the column ‘How much do you weigh (in pounds).’ Copy and past into a column in Stat Crunch.  Create a histogram, a stem plot, a dot plot, or a box plot of this data (your choice). Be sure to label your graphical representation. Put both your names on it.  Looking at your graphical representation, what can you say about the distribution/the data? Be prepared to share out one thing you observe in the graph (we will display your graph up on screen so we can all see it as you describe it)  We will print it later and turn it in... But we will do something else with it in a few...

 Frequency vs. Relative Frequency

 No matter which graphical representation you created with this data set, how did we describe the graphical representations?  What types of characteristics did we consider when trying to describe the graph of this data?

S – Shape. Symmetric? Skewed? Uni-Modal, bi-modal, tri-modal, multi-modal? Gaps? O– Outlier(s) Is/are there unusually large or small values that are “away” from the majority of the rest of the data? C – Center What is the “typical*” value of the distribution/data? S – Spread Typically/on average*, how far apart or close together is the data/distribution? * Different types of ‘averages’ and ‘typical’. Will discuss further and in detail soon.

 Practice: Lets look at our social media data with a histogram, dot plot, stem plot, or box plot; & describe the distribution using SOCS. What is likely? Unlikely? What type of a statement could you make (based on this data) about ALL COC students regarding social media?  Now with the graphical representation you and your partner created from the ‘weights’ data, describe the distribution using SOCS. You have 10 minutes. You will turn this in as an assignment.  Be prepared to do a 1-minute share out as I will randomly call on a few pairs to share out

 Type of first pet... or favorite social media, favorite app for cell phone, hair color, make of car you drive, marital status, etc.

 Bar (charts) graphs (caution; very different from histograms; why?)

 On left is bar graph; on right is histogram  Be sure you understand the difference between the two graphical representations

 Bar (Charts) Graphs  Pie Charts  BIG IDEA... the same... visualizing data can be helpful in observing trends  Can we analyze pie charts or bar graphs with SOCS? Why or why not?  Whether categorical or numerical, always good to graph your data

 Let’s go to the Math 140 data set, and choose a set of categorical data; cut and paste into Stat Crunch; create bar graph and pie chart; make observations; ask questions  With a partner, choose a different categorical data set, practice creating a bar graph AND a pie chart using with the data; make observations; ask questions; we will share out in 10 minutes.

 Form groups randomly (how would we like to do this?)  FIRST: Answer the ‘Before the Activity’ questions (one paper per group; include all names)  NEXT: Gather our data (for entire class), then write it on board; let’s use blue marker for male; black for female  NEXT: Input all data from class into Stat Crunch; then...

 Do “After the Activity;” follow all directions  1-2 paragraph write up answering questions asked in ‘After the Activity;” also include justification of the group’s choice of graphs  Include the actual graphs & numerical analysis (SOCS) of data/graphs (from Stat Crunch; cut and paste)  All members of group must contribute  Maximum points possible: 20 project points.

 2.1, 2.2, 2.7, 2.15, 2.17, 2.18, 2.20, 2.21, 2.34