High Probability and Statistics with Applications
Number of Credits
Estimated Completion Time
Probability and Statistics Honors will introduce students to exploring data, sampling and experimentation by planning and conducting studies, anticipating patterns using probability and simulation, and employing statistical inference to analyze data and draw conclusions.
Follow the link below for the Department of Education description of this course:
- Select an appropriate method to represent data.
- Interpret data distributions represented in various ways.
- Solve real-world problems involving univariate and bivariate categorical data.
- Calculate and compare the appropriate measures of center and measures of variability.
- Construct two-way frequency tables and interpret frequencies in terms of a real-world context.
- Construct and interpret a segmented bar graph.
- Compute the correlation coefficient of a linear model using technology and interpret the strength and direction of the correlation coefficient.
- Fit a linear function to bivariate numerical data that suggests a linear association and interpret the slope and y-intercept of the model.
- Given a scatter plot, assess the fit of a given linear function by plotting and analyzing residuals.
- Explain the difference between correlation and causation.
- Fit an exponential function to bivariate numerical data that suggests an exponential association.
- Distinguish between a population parameter and a sample statistic.
- Explain how random sampling produces data that is representative of a population.
- Compare and contrast sampling methods.
- Determine the appropriate design, survey, experiment, or observational study, based on the purpose, and compare and contrast surveys, experiments, and observational studies.
- Compare two treatments using data from an experiment in which the treatments are assigned randomly.
- Estimate a population total, mean, or percentage using data from a sample survey.
- Interpret the margin of error of a mean or percentage from a data set and the confidence level corresponding to the margin of error.
- Apply probabilities to make fair decisions.
- Draw inferences about two populations using data and statistical analysis.
- Evaluate reports based on data from diverse media.
- Describe events as subsets of a sample space.
- Calculate the appropriate permutation or combination.
- Calculate the conditional probability of two events and interpret the result in terms of its context.
- Define a random variable for a quantity of interest.
- Develop a probability distribution for a discrete random variable using theoretical and empirical probabilities.
- Given a binomial distribution, calculate and interpret the expected value.
- Solve real-world problems involving geometric distributions.
- Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.
Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple-choice questions, writing assignments, projects, lab activities, research papers, oral assessments, and discussions. This course will use the state-approved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.
***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course.
Courses subject to availability.
Pursuant to s. 1002.20, F.S.; A public school student whose parent makes written request to the school principal shall be exempted from the teaching of reproductive health or any disease, including HIV/AIDS, in accordance with the provisions of s. 1003.42(3). Learn more about the process and which courses contain subject matter where an exemption request can be made.