The lesson would be:
- Distribute random number samples of a couple different cities.
- Have the students randomly choose 10 numbers.
- Have students calculate the mean.
- Have students calculate the TAD.
- Have students calculate the MAD.
- Sort data into 3 columns on the board for each city. Have students record their data for their city.
As a class, discuss the data.
Questions to Ask:
- "What are similarities/differences overall?"
- "How can we decide if there is a difference between the number of pets per household in each city?"
- "Could we get the same mean or MAD in all three cities? What does that tell us about the population?
Discuss how samples jump around... "what does this mean for things like polls, like in magazines or online?"
Discuss factors of variability
Find newspaper, magazine or online polls and ask them to evaluate them for their classroom to see how likely the results are to happen again.
In my opinion, this activity would go along well with the GAISE report. I think that this activity has a lot of real world relevance which is kind of the point of studying statistics, according to the report. We want students to be able to thrive and I believe that understanding this information about samples and collecting data and studying data is really important.