Variability of Categorical Data
| Sana’s Groceries | Juliette’s Groceries |
|---|---|
12 apples and 1 banana |
4 peaches, 4 kiwis, 4 oranges, and 1 lime |
1 Which dataset has greater variability - Sana’s groceries or Juliette’s groceries? Explain.
2 You ask a group of sixth grade students to respond to two different statements with either "true" or "false."
-
Statement A: I am in sixth grade.
-
Statement B: I am wearing blue today.
Which statement do you predict will produce greater variability? Explain.
Variability of Quantitative Data
3 Someone looks at your class roster and says, "In general, students in our class have the same number of letters in their first names."
Do you agree or disagree? Explain your reasoning.
4 Which dataset do you predict will have greater variability for a group of ninth graders who attend the same school - wake-up times on Wednesday or Saturday? Explain.
5 Below are the students' responses for their wake-up times on Wednesday versus Saturday. Was your prediction correct? Explain.
-
Wednesday: 6:30, 6:15, 6, 6:45, 6:30, 5:45, 6:45, 6:30, 6:30, 6:15
-
Saturday: 7:00, 8:00, 8:30, 6:30, 9:45, 10:30, 6:00, 5:45, 10:15, 9:30
Designing Datasets with High and Low Variability
6 Make up two categorical datasets with 5 items, each.
| Dataset with Low Variability | Dataset with High Variability |
|---|---|
|
7 Make up two quantitative datasets with ten quantities, each.
| Dataset with Low Variability | Dataset with High Variability |
|---|---|
|
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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