StatCrunch - Graphic Representation of Data

In my intro stats class, I spent the last two days covering graphic displays for qualitative data (bar graphs, pie charts) and quantitative data (stem & leaf, histograms). Because I am fortunate enough to teach this class in a computer lab, I devoted today's class to a StatCrunch activity day.

To start off, my students joined a StatCrunch group so that I could share the data set with them. I had a data set consisting of 61 individuals and 13 variables (some qualitative, some quantitative). Once they all had the data, I showed them how to create a bar graph for qualitative data for the class that the individuals were taking (8am or 11am). The students then had to create a bar graph for the birth month of these 61 individuals, and answer a couple of questions that called on them to interpret the graph they created.

We followed the same approach (I show one, they do another and use their graph to answer questions) for relative frequency bar graphs, pie charts, stem and leaf displays, histograms, relative frequency histograms, and creating a frequency distribution from a histogram.

I was really happy with the way it went, and we were able to finish well before the 50-minute class ended. My students learned that working with StatCrunch was really easy, and that StatCrunch was quite powerful. (Wait until they see how truly powerful it is!) I also thought it was a great way to review the different types of graphs, know when they are useful, and how to interpret them.

I'd recommend having the directions typed out (so students have a written record of these procedures). I'd also recommend creating your own data set, so you can not only show students how to download data into StatCrunch, but also making sure the data is relevant to your students. I created mine by posting a StatCrunch survey that my classes filled out. Finally, you should have a set of questions that calls on your students to interpret their graphs.

I have posted both the directions and follow up assignment in a Live Binders binder called Stat Files. If you'd like to join my StatCrunch group so you can access the data, be my guest. All I ask is that you drop me an email through the contact page on my website (georgewoodbury.com) so I can keep visitors and students straight.

George

Intro Stats - Counting Activity

This semester, whenever possible, I have been trying to incorporate the flipped classroom in all of my courses. A couple of weeks back I used an activity that I was quite pleased with. It covered counting principles in introductory statistics, namely the multiplication principle, permutations, and combinations. Without having covered any of the material in class, I assigned my students to watch a short video I created on the subject. I placed the video on YouTube. Here it is.



There was also a short assignment that students had to complete before returning to class the next day. Here are the 5 questions.
1) An ice cream store has 31 flavors of ice cream and 3 types of cones. In how many different ways could you order a single-scoop ice cream cone? (1 flavor, 1 type of cone)
2) Which is the correct answer to the following problem: 10P2 or 10C2? A softball league has 10 teams in it. In how many different ways could the teams finish first and second?
3) Which is the correct answer to the following problem: 19P3 or 19C3? Bruce Springsteen has released 19 CDs. In how many different ways could a fan select 3 of his CDs to bring on a road trip? Compute the following.
4) 11P3
5) 8C5
6) What is the major difference between a permutation problem and a combination problem?

Students were told that there would be a quiz the next day, and they could use only their assignment as a resource. The quiz was a group quiz (my classes are made up of groups of 4 students), and there was a "battle" between pairs of groups that sis next to each other. The winners of each battle earned the right to drop 1 homework score for the semester. Here is a copy of the quiz, which I displayed on a screen using PowerPoint.

1.       What color ink did I use to write on the PowerPoint slides?

2.       A class has 40 students. The instructor randomly selects 3 students.
The first wins a $20 gift certificate, the second wins a new calculator, and the third wins a new eraser.
In how many different ways can the instructor choose the 3 students?

3.       Faculty passwords in Banner are made up of 4 digits (0 – 9).
How many different passwords are possible?

4.       The math department has 16 faculty.
In how many different ways can the Dean select 3 instructors to attend a conference?

5.       Compute: 12C5.

6.       Compute: 9P4.

7.       License plates in Rhode Island have 2 letters followed by 3 digits.
Neither letter can be I or O.
No digit can be used more than once.
How many different license plates are possible?

8.       What are the 3 conditions that tell us a problem calls for the use of combinations?

9.       Make up a problem whose solution is 6 x 4 = 24.

10.   Fifteen patients sign up to participate in a trial for a new medication.
In how many different ways can the doctor select 6 of the patients to receive a placebo?

Bonus Question: What was the address of the web site mentioned at the end of the video for students who needed extra help? 

The groups got 1 minute for each of the first 4 problems, and 2 minutes for each of the last 6 problems. The first question was to break the tension, and we had a good laugh when I told them later that the correct answer was "Skittles Red". The bonus question only counted in case of a tie after the first 10 questions.

I was really happy with the results. There was a lot of great discussion within the groups, and I feel that they truly understood what hey were doing. (They went on to do really well on the counting problems on the probability exam.)

- George

If you have questions or comments, please leave a comment on this blog or reach me through the contact page on my website: georgewoodbury.com

A New Beginning

I have decided to move my blog to Blogger. In addition to upcoming posts about learning mathematics, using technology in the classroom, etc., I will be copying over old posts from my original blog. Stay tuned ...