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MATH1040

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MATH1040 - Intro Stat/Probability (3 cr)

MathematicsSC - College of Science

General Education Program Learning Outcome

Persist in Addressing Complex Problems

Quantitative Literacy (QL) - GE Course-Level Learning Outcomes

Upon successful completion of the General Education Quantitative Literacy requirement, students will be able to:

  • Communicate: Use correct terminology and proper notation to explain quantitative or mathematical relationships (equations, graphs, diagrams, tables, data) and to support an argument, assertion, or purpose using quantitative or mathematical evidence;

  • Mathematization: Convert quantitative or mathematical information into appropriate mathematical representations and/or models such as equations, graphs, diagrams, or tables, including making and evaluating important assumptions as needed;

  • Calculation: Use algebraic skills and techniques to solve problems, including the ability to identify and correct errors in calculations and understanding the role and proper use of technology in assisting with calculations;

  • Analysis: Draw appropriate conclusions through quantitative or mathematical analysis of data or models, including understanding and evaluating important assumptions in order to recognize the limits of the analysis; and

  • Application / Creation: Solve concrete and abstract problems across multiple disciplines.

Recognize different ways of collecting data and decide what method would be the best for a given situation.

Distinguish between various sampling techniques and decide what sampling technique would work the best in a given situation.

Use different tables and graphs to organize and analyze data.

Calculate the mean, median, mode, range, quartiles, interquartile range, outlier(s), find percentile that corresponds to a value and interpret the results in variety of ways.

Find the z-score (the standard score) and compare the z-scores from different data sets.

Find the mean, variance and standard deviation; interpret standard deviation using Empirical Rule (68-95-99.7 rule) for the bell-shaped distribution; interpret standard deviation in connection with a distribution that is not bell-shaped, or it is unknown using Chebychev’s Theorem; find the standard deviation for grouped data (using classes and midpoints).

Determine the probability of an event using the Fundamental Counting Principle, conditional probability, the multiplication rule, and the addition rule.

Create and use probability distributions; find the mean and standard deviation.

Recognize a binomial experiment and calculate the binomial distribution using the Binomial Probability Formula

Recognize normal (bell-shaped) distribution and standard normal distribution; calculate the areas/probabilities using the standard normal distribution table.

Use the standard normal distribution table to find probabilities or values in connection with real-life applications

Explain the meaning of different values of the correlation coefficient and relate the concept to the strength/weakness of linear relationship between two variables when examining different scatter plots

Find the equation of the regression line (line of best fit) and predict values using the equation of the regression line