Standard 5: Data
Analysis & Probability
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Resources
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Benchmark
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Indicator
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A. Read, create and use line graphs, histograms, circle
graphs, box-and-whisker plots, stem-and-leaf plots, and other representations
when appropriate.
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1. Read, create and interpret box-and-whisker plots,
stem-and-leaf plots, and other types of graphs, when appropriate.
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B. Interpret data by looking for patterns and
relationships, draw and justify conclusions, and answer related questions.
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1. Construct opposing arguments based on analysis of the same
data, using different graphical representations.
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D. Compare increasingly complex displays of data, such as
multiple sets of data on the same graph.
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1. Compare data from two or more samples to determine how
sample selection can influence results.
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E. Collect, organize, display and interpret data for a
specific purpose or need.
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1. Analyze how decisions about graphing affect the
graphical representation; e.g., scale, size of classes in a histogram, number
of categories in a circle graph.
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F. Determine and use the range, mean, median and mode to
analyze and compare data, and explain what each indicates about the data.
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1. Analyze a set of data by using and comparing
combinations of measures of center (mean, mode, median) and measures of
spread (range, quartile, interquartile range), and describe how the inclusion
or exclusion of outliers affects those measures.
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G. Evaluate conjectures and predictions based upon data
presented in tables and graphs, and identify misuses of statistical data and
displays.
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1. Analyze how decisions about graphing affect the
graphical representation; e.g., scale, size of classes in a histogram, number
of categories in a circle graph.
2. Identify misuses of statistical data in articles,
advertisements, and other media.
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I. Describe the probability of an event using
ratios, including fractional notation.
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1. Compute probabilities of compound events; e.g.,
multiple coin tosses or multiple rolls of number cubes, using such methods as
organized lists, tree diagrams and area models.
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K. Make and justify predictions based on experimental and
theoretical probabilities.
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1. Make predictions based on theoretical probabilities, design
and conduct an experiment to test the predictions, compare actual results to
predicted results, and explain differences.
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