Engage in the development of mathematical theory or apply statistical theory and methods to collect, organize, interpret, and summarize numerical data to provide usable information. May specialize in fields, such as bio-statistics, agricultural statistics, business statistics, economic statistics, or other fields.

Adapt statistical methods in order to solve specific problems in many fields, such as economics, biology and engineering. Analyze and interpret statistical data in order to identify significant differences in relationships among sources of information. Apply sampling techniques or utilize complete enumeration bases in order to determine and define groups to be surveyed. Design research projects that apply valid scientific techniques and utilize information obtained from baselines or historical data in order to structure uncompromised and efficient analyses. Develop and test experimental designs, sampling techniques, and analytical methods. Evaluate sources of information in order to determine any limitations in terms of reliability or usability. Evaluate the statistical methods and procedures used to obtain data in order to ensure validity, applicability, efficiency, and accuracy. Examine theories, such as those of probability and inference in order to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data. Identify relationships and trends in data, as well as any factors that could affect the results of research. Plan data collection methods for specific projects, and determine the types and sizes of sample groups to be used. Process large amounts of data for statistical modeling and graphic analysis, using computers. Report results of statistical analyses, including information in the form of graphs, charts, and tables. Develop an understanding of fields to which statistical methods are to be applied in order to determine whether methods and results are appropriate. Prepare data for processing by organizing information, checking for any inaccuracies, and adjusting and weighting the raw data. Supervise and provide instructions for workers collecting and tabulating data.

Mathematics -- Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications . Computers and Electronics -- Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming. English Language -- Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

Mathematics -- Using mathematics to solve problems. Critical Thinking -- Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems. Active Learning -- Understanding the implications of new information for both current and future problem-solving and decision-making. Reading Comprehension -- Understanding written sentences and paragraphs in work related documents. Complex Problem Solving -- Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions. Science -- Using scientific rules and methods to solve problems. Writing -- Communicating effectively in writing as appropriate for the needs of the audience. Learning Strategies -- Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things. Monitoring -- Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action. Systems Evaluation -- Identifying measures or indicators of system performance and the actions needed to improve or correct performance, relative to the goals of the system.

Number Facility -- The ability to add, subtract, multiply, or divide quickly and correctly. Mathematical Reasoning -- The ability to choose the right mathematical methods or formulas to solve a problem. Deductive Reasoning -- The ability to apply general rules to specific problems to produce answers that make sense. Near Vision -- The ability to see details at close range (within a few feet of the observer). Inductive Reasoning -- The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events). Written Expression -- The ability to communicate information and ideas in writing so others will understand. Information Ordering -- The ability to arrange things or actions in a certain order or pattern according to a specific rule or set of rules (e.g., patterns of numbers, letters, words, pictures, mathematical operations). Written Comprehension -- The ability to read and understand information and ideas presented in writing. Speed of Closure -- The ability to quickly make sense of, combine, and organize information into meaningful patterns.

Analyzing Data or Information -- Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts. Getting Information -- Observing, receiving, and otherwise obtaining information from all relevant sources. Identifying Objects, Actions, and Events -- Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events. Processing Information -- Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data. Evaluating Information to Determine Compliance with Standards -- Using relevant information and individual judgment to determine whether events or processes comply with laws, regulations, or standards. Updating and Using Relevant Knowledge -- Keeping up-to-date technically and applying new knowledge to your job. Judging the Qualities of Things, Services, or People -- Assessing the value, importance, or quality of things or people. Making Decisions and Solving Problems -- Analyzing information and evaluating results to choose the best solution and solve problems. Interacting With Computers -- Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.