statistics inquiry


Part I: Descriptive Statistics Describe the data you chose by explaining what variable or variables you are summarizing/displaying and why you chose the variable(s). Include in your description your reasons for the summaries/displays you used.

• Provide at least 3 different numerical summaries or displays of your data, as appropriate. Examples include mean, median, standard deviation, 5-number summary, linear correlation coefficient, and/or linear regression equation; pie chart, Pareto chart, frequency/relative frequency distribution, histogram, stem-and-leaf plot, and/or scatter plot.

• If you collect your own data, choose a topic of great interest to you personally. Your topic may address a social, political, health, educational (or etc.) issue of interest for a specified population of interest. Your topic should be something which can be tested by collecting a sample or doing an experiment. Do not limit your inquiry to such a narrowly defined population that anyone could collect a census to answer the question(s) definitively; the inquiry should lead you to make an inference about a population. Use a random sampling technique to collect data for an observational study, or design an experiment to test a claim. You may use public social media polls, conduct campus surveys, etc. You could purchase randomly selected candy to determine a color frequency, or purchase and measure pinto beans after soaking in various solutions! You may be interested in social media habits of college students, or if there is a difference between males and females in terms of a preferred social media type. What percentage of college students utilized math tutoring? The ideas are endless!

Part II: Inferential Statistics Design a plan to address a specific question or questions about a population which can be answered by appropriately analyzing your data. Your plan must include the following components:

• Make clear hypotheses (e.g., null and alternative hypotheses) about one or more qualitative or quantitative variables of a well-defined population, as addressed by the data set you chose.

• Identify assumptions made about the population, sampling process/technique, or other facets of your investigation. • Analyze your data and draw a conclusion or conclusions about the population for which you are making the inference. Additional summaries and/or graphs may be included.

• Provide a measure of confidence, or a critical value, or a P-value, and interpret it with respect to the population that was sampled and your subsequent conclusion(s).

• Speculate upon the meaningfulness of your results, as well as the limits and/or consequences of any statistical inferences made.

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