Statistics and Probability

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Standards For Mathematical Practice

Statistics and Probability

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1.0 Students solve probability problems with finite sample spaces by using the rules for addition, multiplication, and complementation for probability distributions and understand the simplifications that arise with independent events.  tools-icon Algebra I / Mathematics I
2.0 Students know the definition of conditional probability and use it to solve for probabilities in finite sample spaces.  tools-icon Geometry / Mathematics II
3.0 Students demonstrate an understanding of the notion of discrete random variables by using this concept to solve for the probabilities of outcomes, such as the probability of the occurrence of five or fewer heads in 14 coin tosses.  tools-icon Algebra II / Mathematics III
4.0 Students understand the notion of a continuous random variable and can interpret the probability of an outcome as the area of a region under the graph of the probability density function associated with the random variable.  tools-icon Calculus
5.0 Students know the definition of the mean of a discrete random variable and can determine the mean for a particular discrete random variable.  tools-icon
6.0 Students know the definition of the variance of a discrete random variable and can determine the variance for a particular discrete random variable.  tools-icon
7.0 Students demonstrate an understanding of the standard distributions (normal, binomial, and exponential) and can use the distributions to solve for events in problems in which the distribution belongs to those families. tools-icon
8.0 Students determine the mean and the standard deviation of a normally distributed random variable.  tools-icon
9.0 Students know the central limit theorem and can use it to obtain approximations for probabilities in problems of finite sample spaces in which the probabilities are distributed binomially.  tools-icon
10.0 Students know the definitions of the mean, median, and mode of distribution of data and can compute each of them in particular situations.  tools-icon
11.0 Students compute the variance and the standard deviation of a distribution of data.  tools-icon
12.0 Students find the line of best fit to a given distribution of data by using least squares regression.  tools-icon
13.0 Students know what the correlation coefficient of two variables means and are familiar with the coefficient’s properties.  tools-icon
14.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line graphs and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.  tools-icon
15.0 Students are familiar with the notions of a statistic of a distribution of values, of the sampling distribution of a statistic, and of the variability of a statistic.  tools-icon
16.0 Students know basic facts concerning the relation between the mean and the standard deviation of a sampling distribution and the mean and the standard deviation of the population distribution.  tools-icon
17.0 Students determine confidence intervals for a simple random sample from a normal distribution of data and determine the sample size required for a desired margin of error.  tools-icon
18.0 Students determine the P-value for a statistic for a simple random sample from a normal distribution.  tools-icon
19.0 Students are familiar with the chi-square distribution and chi-square test and understand their uses.  tools-icon
PDF-iconStatistics and Probability State Standards PDF PDF-iconStatistics and Probability By Concept PDF