Data and Chance
- Grades 5-6
Your new friend at CTY teaches you a dice game. If you roll a 4, you win and the game ends. If your friend rolls a 5, they win and the game ends. You take turns rolling until one person wins. If you roll first, what is the probability you will win? This course explores probability and statistics, two areas of mathematics that easily transfer from the classroom to the real world. You and your classmates will conduct experiments and learn to make graphs, charts, and tables to display data. You’ll learn to determine the effects of particular variables; for example, examine how various design characteristics like weight and length affect the distance a paper airplane will travel. You’ll calculate the number of possible outcomes for various events; determine probabilities of independent, dependent, and compound events; and how to distinguish between theoretical and experimental probability. You’ll even learn ways to spot incorrectly gathered or misrepresented data in sources like newspapers and journals.
Typical Class Size: 14-16
- Apply measures of spread techniques such as range, interquartile range, and standard deviation to estimate the proximity of central tendencies such as means and median
- Design descriptive methods using stem and leaf plots, histograms, and bar graphs to decide on data visualization and interpreting data
- Predict likelihood based on statistical data and theory
- Represent, apply, and interpret mathematical ideas through modeling real data and analyzing them to draw conclusions
- Compile and construct data sets to calculate averages
- Formulate and compare outcomes of simple random processes
Summer Dates & Locations
Testing and Prerequisites
|Required Level||CTY-Level||Not required|
Students must achieve qualifying scores on an advanced assessment to be eligible for CTY programs. If you don’t have qualifying scores, you have several different testing options. We’ll help you find the right option for your situation.Sign up for Testing Learn More
Cost and Financial Aid
- Nonrefundable Application Fee - $50 (Waived for financial aid applicants)
- Nonrefundable International Fee - $250 (outside US only)
Financial Aid is available
We are committed to serving all talented youth regardless of financial circumstances. Financial assistance is available based on need.
About Mathematics at CTY
Explore the study of shapes
Many of our courses allow students to describe the world around them in basic and profound ways. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful real-world applications of lines; analyze data based on curves that fit a uniform, symmetric and bell-shaped, or skewed pattern in Data and Chance. And advanced students explore the underlying mathematics and fundamental characteristics of shapes, distance, and continuous deformations in our proof-based Topology course.
Dive deep into logic and reasoning
Our courses in formal logic give you the tools to question the world around you. Inductive and Deductive Reasoning introduces younger students to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis. Older students explore how logical reasoning can explain (or fail to explain) counter-intuitive results in Paradoxes and Infinities, or take a more rigorous approach to formal logic in Mathematical Logic.