MATH 130 Introduction to Statistics • 5 Cr.
Emphasis on gathering and interpreting data. Material has applications in the medical fields, as well as the Social Sciences. Fulfills the quantitative or symbolic reasoning course at BC. Prerequisite: Placement by assessment or MATH 099 with a C or better.
After completing this class, students should be able to:
- Use the main statistical functions on a Graphing Calculator such as TI-83.
- Construct and interpret appropriate displays of data, including time plots, scatterplots, histograms and pie charts.
- Recognize the difference between continuous and discrete variables.
- Identify the population and recognize bias in sampling.
- Select a simple random sample and recognize sources of error.
- Distinguish between observational studies and experiments.
- Outline the design of a completely random experiment.
- Recognize the placebo effect.
- Recognize when a double blind experiment is appropriate.
- Find the mean, median, mode and mid-range of a set of data.
- Compute variance and standard deviation.
- Explain what the standard deviation tells us about a set of data.
- Use the standard deviation to compute z-scores and percentiles.
- Explain the concept of (mathematical) randomness.
- List the sample space of simple probability experiments.
- Explain what the Law of Large Numbers does NOT say and how it relates to classical probability.
- Apply the rules of probability in context and compute expected values.
- Apply the definition of dependence and independence to determine if events are independent or dependent.
- Recognize when the Normal Distribution is appropriate and when it's not.
- Solve problems involving the Standard Normal Distribution.
- Use the Central Limit Theorem to find probabilities of sampling means.
- Interpret and find confidence intervals.
- Test hypotheses dealing with means and proportions.
- Use Regression Analysis to test correlation of data and find an equation relating data.