LAC 28:CXLII.4107. Applying Mathematics in Social Sciences

A. Determine the number of elements in a finite sample space and compute the probability of an event. 1. Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle. 2. Compare theoretical to empirical probability in chance events. B. Apply mathematical processes and mathematical models to analyze data as it applies to social sciences. 1. Interpret information from various graphs to draw conclusions from the data and determine the strengths and weaknesses of conclusions. 2. Analyze numerical data using measures of central tendency of mean, median, and mode and variability including range, interquartile range, and standard deviation, in order to make inferences with normal distributions. 3. Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies. 4. Use data from a sample to estimate the population mean or population proportion. 5. Analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusions. 6. Use regression methods available through technology to model situations best fit by linear and exponential functions. Use the model to interpret correlations, and make predictions. C. Apply mathematical processes to design a study and utilize graphical, numerical, and analytical techniques to communicate the study's results effectively. 1. Formulate a meaningful question, determine the necessary data to answer the question, gather the relevant data, analyze the data, and draw reasonable conclusions. 2. Communicate and present methods used, analyses conducted, recommendations, limitations, and conclusions drawn for a data-analysis project. Presentation styles can include one or more of the following: a written report, a visual display, an oral report, or a multi-media presentation.