| Descriptive Statistics |
I have the students in the AP classes take a survey and enter the data into Fathom. Then students use Fathom to determine center, shape and spread of related data as well as a description. This exercise gets students used to the ease of using Fathom. |
Fathom01DescriptiveStats.pdf (140 kb) |
| Normal Distributions |
This exercise explores the normal distribution and how it follows the 68-95-99.7 rule. Using sliders, it allows students to find the percentage of data under sections of the normal curve and illustrates why adding two normal distributions gives another normal distribution while multiplying does not. |
Fathom02NormalDist.pdf (340 kb) |
| Linear Regression |
The classic wrist size vs. height comparison allows students to explore the meaning of least-square regression and the effect of influential points as well as outliers. |
Fathom03LinRegression.pdf (224 kb) |
| Linear Regression |
Use the government's World Population Clock to extrapolate the population of the US and World using linear regression and Fathom. |
Fathom04LinRegInternet1.pdf (160 kb) |
| Linear Regression |
Import data from the Internet in an attempt to find a relationship between height and stories of the tallest buildings in the world. |
Fathom05LinRegInternet2.pdf (80 kbB) |
| Exponential Regression |
Experiment with slider values to find a relationship between the radius of a planet's orbit (in relation to Earth) and the period of the planet's orbit. |
Fathom06Exponentials.pdf (160 kb) |
| Simulations |
A generalized method to create simulations using sampling. Two problems are examined carefully (one the famous birthday problem) with another assigned. Students mastering this packet will understand how to simulate many probability problems. |
Fathom07Simulation.pdf (472 kb) |
| Sampling and Expected Value |
The mean of a random variable is sometimes called expected value. Students in A.P. Stat are required to solve expected value problems. This worksheet walks students through the procedure of simulating these problems in Fathom. If you have the time, it is a great companion exercise to expected value problems solves analytically. |
Fathom08SamplingAssignment.pdf (292 kb) |
| Expected Value and Standard Deviation of a Random Variable |
A companion exercise to the Sampling Assignment above. |
Fathom09ExpectedValue.pdf (572 kb) |
| Binomial and Geometric Distributions |
Simulate basic binomial and geometric distribution problems using Fathom. There are 3 problems explained thorougly and then 9 problems that students can simulate. |
Fathom10BinomialGeometric.pdf (528 kb) |
| Central Limit Theorem |
This problem graphically illustrates the Central Limit Theorem and has students doing explorations in Fathom in order to show how a sampling distribution becomes more normal as the sampling size increases. This exploration was originally written by Todd Brodie. |
Fathom11CentLimitThmExploration.pdf (192 kb) |
| Central Limit Theorem |
Some sample solutions to the exploration above. |
Fathom12CLTThmSolutions.pdf (600 kb) |
| HypothesisTesting |
After the A.P. Exam, it is good to give the students a project. This project uses the Fathom census files that come with Fathom to explore a hypothesis that students make themselves. (Ex: do men in Berkeley have more education than women?) |
Fathom13HypothesisTestingProject.pdf (548 kb) |
| Multiple Regression |
Multiple Regression is not covered in the AP curriculum but it it is wonderful exploration using Fathom. We walk students through the procedure of multiple regression by trying to predict the number of traffic fatalities in states based on several factors. Students are given a project as well. |
Fathom14MultipleRegressionProject.pdf (636 kb) |
