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US-VA

Math

Virginia Math

Algebra 2: Statistics

Formulate investigative questions that require the collection or acquisition of a large set of univariate quantitative data or summary statistics of a large set of univariate quantitative data and investigate questions using a data cycle.
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Collect or acquire univariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.
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Examine the shape of a data set (skewed versus symmetric) that can be represented by a histogram, and sketch a smooth curve to model the distribution.
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Identify the properties of a normal distribution.
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Describe and interpret a data distribution represented by a smooth curve by analyzing measures of center, measures of spread, and shape of the curve.
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Calculate and interpret the 𝑧-score for a value in a data set.
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Compare two data points from two different distributions using 𝑧-scores.
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Determine the solution to problems involving the relationship of the mean, standard deviation, and 𝑧-score of a data set represented by a smooth or normal curve.
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Apply the Empirical Rule to answer investigative questions.
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Compare multiple data distributions using measures of center, measures of spread, and shape of the distributions.
Formulate investigative questions that require the collection or acquisition of bivariate data and investigate questions using a data cycle.
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Collect or acquire bivariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.
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Represent bivariate data with a scatterplot using technology.
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Determine whether the relationship between two quantitative variables is best approximated by a linear, quadratic, exponential, or a combination of these functions.
Determine the equation(s) of the function(s) that best models the relationship between two variables using technology. Curves of best fit may include a combination of linear, quadratic, or exponential (piecewise-defined) functions.
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Use the correlation coefficient to designate the goodness of fit of a linear function using technology.
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Make predictions, decisions, and critical judgments using data, scatterplots, or the equation(s) of the mathematical model.
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Evaluate the reasonableness of a mathematical model of a contextual situation.
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Calculate the number of permutations of 𝑛 objects taken 𝑟 at a time.