Probability and Statistics

The following learning targets represent the major concepts studied and assessed in this course.

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Unit 1

Intro to Statistics

• 1.1 I can represent data with plots on the real number line (dot plots, histograms, and box plots).
• 1.2 I can use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
• 1.3 I can interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

Unit 2

Normal Distribution

• 2.1 I can identify Normal curves based upon their properties.
• 2.2 I can find the standardized value(z-score) of an observation and interpret the z-score in context.
• 2.3 I can determine a percentile of a value from any Normal distribution and the value that corresponds to a given percentile.

Unit 3

Inference

• 3.1 I can explain the components necessary for making an inference.
• 3.2 I can use confidence intervals.
• 3.3 I can understand how the margin of error of a confidence interval changes with the sample size and level of confidence.

Unit 4

Experimental Design/Survey Techniques

• 4.1 I can identify the population and the sample in a statistical study.
• 4.2 I can distinguish observational studies from experiments.
• 4.3 I can identify a valid survey, sampling method and sources of bias.
• 4.4 I can identify the experimental design being used in an experiment.

Unit 5

Probability

• 5.1 I can calculate simple probabilities or Venn diagrams and tree diagrams to find the probabilities of events that are formed from other events, including unions, intersections, and complement probabilities.
• 5.2 I can calculate probabilities of events using the rules of probability.
• 5.3 I can use permutations and combinations to compute probabilities of compound events and solve problems.
• 5.4 I can develop probability distributions (experimentally or theoretically) and compute and interpret the expected value (weighted mean).