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High School | Mathematics | Data Analysis and Probability

The ability to understand and interpret data (e.g., opinion polls, stock prices, tax rates, crime statistics, scientific studies, weather reports) grows more important each day. Students must be able to organize data, make sense of variables and patterns, and judge the logical reasonableness of any claims and interpretations made. Even very young students can count objects and communicate their findings with charts and graphs. Students of all ages can collect, display and interpret data to answer specific questions. They also must construct and analyze arguments that involve data and its interpretation. All students need to understand and apply the role probability plays in data collection and decision making. Data analysis and use are important abilities necessary for all careers.

Learning Objectives

Organize, describe and make predictions from existing data:

  • Represent and organize data by creating lists, charts, tables, frequency distributions, graphs, scatter plots and box-plots.
  • Analyze data using mean, median, mode, range, variance and standard deviation of a data set, with and without the use of technology.
  • Predict from data using interpolation, extrapolation and trend lines, with and without the use of technology.
  • Construct a statistics-based presentation, individually and as members of a team, to communicate and justify the results of a project.

Formulate questions, design data collection methods, gather and analyze data and communicate findings:

  • Design and execute surveys or experiments, gather data to answer relevant questions, and communicate results and conclusions to an audience using traditional methods and contemporary technology.

Determine, describe and apply the probabilities of events:

  • Solve problems of chance using the principles of probability including conditional settings.
  • Design and conduct simulations (e.g., waiting times at restaurant, probabilities of births, likelihood of game prizes), with and without the use of technology.
  • Propose and interpret discrete probability distributions, with and without the use of technology.

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