Representation of Data

Mathematics in Context Grade 8
Insights into Data
Representation of Data

Lessons  •  Activities  •  Show All

Lessons (1)

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 (10)

Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.

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

Primary Subjects: Discrete, Fractions, Modeling, Probability

Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, percentages, percents, probability simulation, proportion, simulation, skewed distribution, variance

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

Sort colored shapes into a bar graph. Practice sorting by shape or by color. Appropriate for elementary grades. Bar Graph Sorter is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry, Graphs, Statistics

Related Topics: bar graph, circles, counting, sorter, squares, statistics

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

Students can create box plots for either built-in or user-specified data as well as experiment with outliers. User may choose to use or not use the median for calculation of interquartile range.

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

Primary Subjects: Graphs, Statistics

Related Topics: box and whisker, box plot, coordinate plane, data plot, median, outlier, percentages, quartile, range, scale, skewed distribution, statistics

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

Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.

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

Primary Subjects: Calculus, Graphs, Modeling, Probability, Statistics

Related Topics: agent modeling, calculus, chaos, graph, iteration, pattern, predator-prey, probability simulation, random number, simulation, statistics

View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Stem and Leaf Plotter is one of the Interactivate assessment explorers.

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

Primary Subjects: Graphs, Statistics

Related Topics: data plot, graph, mean, measures of central tendency, median, mode, range, statistics, stem and leaf

Functions like a real stopwatch, recording times that you choose. This stopwatch is accurate to the nearest tenth of a second. Parameters: Count up from 0 or count down from a set time.

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

Primary Subjects: Geometry

Related Topics: decimals, elapsed time, intervals, stopwatch, time

Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.

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

Primary Subjects: Algebra, Geometry, Graphs, Number and Operations

Related Topics: complex number, coordinate plane, coordinate system, exponents, fractals, functions, graph, infinity, iteration, julia set, mandelbrot set, recursion, recursive functions, sets