MiraCosta College | STAT C1000 | Online | Course Numbers 3180 & 3181 | 2/2/26 ~ 5/22/26
Student Learning Outcomes are what any student should be able to do upon completion of this course.
For a given set of problems the student will demonstrate quantitative reasoning by developing a problem-solving strategy, performing appropriate analysis and computation, and critically assessing the meaning of the conclusion or outcome.
Intellectual and practical skills, including quantitative literacy and problem solving, will be practiced extensively across the curriculum in the context of progressively more challenging problems, projects, and standards for performance.
Know how to collect data in appropriate ways
Describe the distribution of a data set graphically
Describe the distribution of a data set numerically
Interpret a probability as a long-run relative frequency of occurrence
Understand what it means for two events to be mutually exclusive and/or independent
Understand the difference between an unconditional probability and a conditional probability
Work with random variables and probability distributions, including binomial, geometric, and Poisson.
Use regression analysis to describe bivariate numerical data
Understand the principles of statistical inference
Understand sampling variability and work with sampling distributions
Perform inference (confidence intervals and hypothesis tests) for population proportions and differences in proportions
Perform inference for population means and differences in population means for independent and paired data
Perform inference (chi-square tests) for categorical data
Perform Analysis of Variance (ANOVA) tests
Be able to use and interpret data using statistical software
In mathematics, there are many ways to learn concepts. At the first stages, we are told things by parents or teachers and we take them as fact. Later, we may grow to begin to see patterns and ideas that we think are true but aren't sure why. The final stage is knowing something and being able to show why it is true.
We can think of mathematical understanding as having three levels:
"Someone told me so" (teacher/parent/friend/textbook)
"I think it is true" - I can find examples and see patterns that demonstrate my thinking
"I know it's true" - I can provide evidence, reasoning, and justification to support my claim
Our Goal in STAT C1000: We should strive for Level 3 with evidence and support for mathematical statements. In this course, while both "how" and "why" are important, we will emphasize understanding concepts over memorizing procedures.
What This Means for You:
During our in-person sessions, expect questions like "Why does this work?" and "Can you explain your reasoning?"
Your WebAssign practice will build procedural skills, but our class discussions will focus on deeper understanding
Exams will include problems that ask you to explain, justify, and demonstrate conceptual knowledge
This approach takes more effort initially, but leads to stronger, more lasting mathematical understanding