Here's Dan's post: A High School Math Teacher’s First Experience Teaching Elementary School

To summarize, here's the setup: you use a large number of "fun" size of packets of Skittles and add the contents to a jar. Sounds fun. You fill the jar to capacity. How many Skittles, in total, are in the jar? Oh, this is fun.

The average number of Skittles in each of these individual packets is 14 candies (I think). Of course, we should expect some small amount of variability of the number in each packet. Some packets may have 13 (sad) and some lucky ones might even have 15.

Let's assume there are a fixed number of packets with a variable number of Skittles between the packages. My question is: Will the total number of Skittles in the jar always be a fixed amount or will it, too, be variable?

**Idea 1**: The total number of Skittles will be fixed. Perhaps, the unbiased nature of the samples will make it so that total = average (of 14) x number of packets.

**Idea 2**: The total itself could also be variable. It's possible that the individual variability of the packets is large enough that it might make the total not constant.

See my Twitter poll here:

Will total # of Skittles in a jar made up of many smaller packets be constant or variable? See: https://t.co/781fZWDs3x #statschat— Amy Hogan (@alittlestats) February 18, 2017

Any thoughts on each of these ideas? Or both? Is there an idea 3? This is a fun statistical question.

P.S. You can find lots of fun statistical activities using Skittles. I just like eating them.

(Photo from Sweet Factory.)

Great question...and one that will certainly be more fun to work on than grading cumulative review assignments.

ReplyDeleteAnother question: could the total number of bags of Skittles used to fill the jar vary?

These types of questions are almost always better than grading, for sure. I think the answer to your question is equivalent to mine but I like the different perspective.

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