Aligned Resources

Common Core State Standards
Sixth Grade
Statistics and Probability
Develop understanding of statistical variability.

Lessons  •  Activities  •  Show All

Lessons (2)

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

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

Activities (7)

Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.

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

Primary Subjects: Discrete, Fractions, Probability, Statistics

Related Topics: angles, circle graph, circles, counting, decimals, events, experimental probability, fair, geometric probability, outcomes, percentages, percents, pie chart, probability simulation, simulation, spinner, statistics, theoretical probability

Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Modeling, Probability, Statistics

Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials

Create a game spinner with one to twelve sectors in order to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.

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

Primary Subjects: Discrete, Fractions, Probability, Statistics

Related Topics: angles, circle graph, circles, events, experimental probability, fair, geometric probability, outcomes, percents, pie chart, probability, probability simulation, spinner, theoretical probability, theoretical value, trials

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

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

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

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