Lesson 3
Associations and Relative Frequency Tables
- Let’s explore relative frequency tables
3.1: Estimation
What percentage of the graph is labeled C?
- Record an estimate that is:
too low about right too high - Explain your reasoning.
3.2: Relative Frequency Tables
The relative frequency tables display data collected from 230 students.
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participates in afterschool activity no afterschool activity total arrives home within 2 hours of school dismissal 3% 40% 43% arrives home 2 or more hours after school dismissal 42% 15% 57% total 45% 55% 100% - What percentage of students participate in after-school activities? How many students participate in after-school activities?
- What percentage of students arrive home 2 or more hours after dismissal? How many students arrive home 2 or more hours after school dismissal?
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aspiring professional athlete aspiring STEM career total prefer physical education 77% 23% 100% prefer math 18% 82% 100% - What percentage of students who prefer math aspire to have a career in STEM?
- What percentage of students who prefer physical education aspire to have a career in STEM?
- Are these two percentages close?
- Is there evidence of an association between students’ career aspirations and subject preference? Explain your reasoning.
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9th grade 12th grade curfew 95% 90% no curfew 5% 10% total 100% 100% - Of the students in 12th grade, what percentage have a curfew?
- Of the students in 9th grade, what percentage have a curfew?
- Is there evidence of an association between students’ grade level and whether they have a curfew? Explain your reasoning.
3.3: Associate Your Variables
- Invent a pair of variables that you think will have an association. Explain your reasoning.
- Invent a pair of variables that you think will not have an association. Explain your reasoning.