D2.2 Make and test predictions about the likelihood that the mode(s) of a data set from one population will be the same for data collected from a different population.
Activity 1: Making Predictions
Show the bar graph below to the students.
![](/img/activite/donnees/en/2e/VE2_Donnees_Image60_en.png)
Ask students to make predictions about the likelihood that the mode of this data set would remain the same if the data were collected from Grade 6 classrooms.
Activity 2: Check Predictions
The mayor of the municipality of Linfort wishes to invest a significant amount of money for the youth of his community. After several meetings with various organizations in the region, five choices were found to be interesting: the construction of a movie theatre, an arcade, a recreation centre, a wave pool or a miniature golf course. In order to make a wise choice, the mayor surveyed students in Grades 2 and 6 at the local school.
The following are the results of the data collected from the Grade 2 students.
![](/img/activite/donnees/en/2e/VE2_Donnees_Image61_en.png)
Ask students questions such as:
- What is the mode among Grade 2 students? How do you know?
- Do you think the data collected will be different for students in Grade 6? Why?
- What do you think the probability is that the mode is the same for both populations? Why?
Now present the data collected from the Grade 6 students.
![](/img/activite/donnees/en/2e/VE2_Donnees_Image62_en.png)
Ask students to check their predictions by comparing the data collected from Grade 2 students with the data collected from Grade 6 students.
Ask them the following questions:
- How do the data from the two populations differ? Are they similar? Justify each answer.
- Is the mode of the two populations the same? How do you know?
- Why does the mode differ from one population to another?
- Does population size play an important role when comparing the mode of two different populations? Why?