Aligned Resources

NCTM
Grades 9-12
Data Analysis and Probability
Select and use appropriate statistical methods to analyze data

Lessons  •  Activities  •  Show All

Lessons (4)

Introduces statistical measures of center.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Statistics

Related Topics: arithmetic, histogram, mean, measures of central tendency, median, mode, range, sets, statistics, sum

Students are introduced to correlation between two variables and the line of best fit.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Statistics

Related Topics: best-fit line, bivariate, cartesian coordinate, coordinate plane, correlation, curve fitting, data, deviations, linear equations, linear functions, regression, residual, scatter plot, slope, statistics, variable

Introduces the normal distribution and looks at the bell curve controversy.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Statistics

Related Topics: area, arithmetic, bell curve, continuous distribution, deviations, experimental probability, exponential, histogram, infinity, mean, measures of central tendency, median, mode, normal distribution, outcomes, percents, probability, range, skewed distribution, squares, standard deviation, statistics, theoretical probability, trials, variance

Students learn about the difference between univariate and bivariate data and understand how to choose the best graph to display the data.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Statistics

Related Topics: bar graph, bivariate, box and whisker, box plot, cartesian coordinate, categorical, circle graph, circles, coordinate, coordinate plane, correlation, curve fitting, data, data plot, deviations, double bar graph, graph, histogram, intervals, mean, measures of central tendency, median, mode, numerical, outlier, percentages, percents, pie chart, quartile, range, regression, residual, scale, scatter plot, skewed distribution, standard deviation, statistics, stem and leaf, table, univariate

Activities (12)

Run a simulation of how a fire spreads through a stand of trees, learning about probability and chaos. Track the results of multiple burns and use the data to draw conclusions.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Modeling, Probability, Statistics

Related Topics: agent modeling, chaos, conditional probability, experimental probability, probability simulation, simulation, theoretical probability

Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Graphs, Modeling, Statistics, Trigonometry

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, exponential, exponents, function properties, functions, graph, grouping, integers, intervals, inverse, linear equations, linear functions, logarithm, multiplication, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

This applet allows the user to experiment with randomly generated data sets at various sample sizes and standard deviations. Then, users can compare the distribution of the experimental data to the expected distribution.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Statistics

Related Topics: bell curve, continuous distribution, exponential, histogram, infinity, mean, measures of central tendency, normal distribution, probability simulation, statistics, trials

View histograms for built-in or user-specified data. Experiment with how the size of the class intervals influences the appearance of the histogram. Parameters: Data sets, class sizes.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Graphs, Statistics

Related Topics: counting, data plot, graph, histogram, intervals, mean, range, skewed distribution, slides, standard deviation

Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Modeling, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, flyer, function properties, functions, graph, linear functions, logarithm, parabola, polynomial, pre-calculus, secant, sine, slides, slope, squares, tangent, trigonometry

Students compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares

Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials. Parameters: standard deviation, number of trials, class intervals.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Graphs, Statistics

Related Topics: bell curve, continuous distribution, exponential, histogram, infinity, mean, measures of central tendency, normal distribution, probability simulation, standard deviation, statistics, trials

In this applet you can adjust the parameters on two Gaussian curves to determine if there is a possibility of a difference between the two means.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Probability, Statistics

Related Topics: bell curve, continuous distribution, experimental probability, exponential, graph, integral, mean, normal distribution, standard deviation, statistics, theoretical probability

PlopIt allows users to build dot plots of data using the mouse. View how the mean, median, and mode change as entries are added to the plot. Parameters: Range for observations.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Graphs, Statistics

Related Topics: bar graph, data plot, graph, histogram, mean, measures of central tendency, median, mode, range, statistics

Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Graphs, Statistics

Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics

Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Graphs, Statistics

Related Topics: cartesian coordinate, coordinate, coordinate plane, data plot, graph, statistics

Change the median and standard deviation of an automatically generated normal distribution to create a skewed distribution, allowing you to observe properties like what it means for the mean, median, and mode to be different. Parameters: median, standard deviation, number of trials, class intervals.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Graphs, Statistics

Related Topics: bell curve, continuous distribution, histogram, mean, measures of central tendency, median, normal distribution, skewed distribution, standard deviation, statistics, trials, variance