EngageNY
The Mean Absolute Deviation (MAD)
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean absolute...
Virginia Department of Education
May I Have Fries with That?
Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a lesson on data representation. Pupils use the results to create a circle graph.
EngageNY
Presenting a Summary of a Statistical Project
Based upon the statistics, this is what it means. The last instructional activity in a series of 22 has pupils present the findings from their statistical projects. The scholars discuss the four-step process used to complete the project...
EngageNY
Summarizing a Data Distribution by Describing Center, Variability, and Shape
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
EngageNY
Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...
EngageNY
Comparing Data Distributions
Box in the similarities and differences. The 19th lesson in a unit of 22 presents class members with multiple box plots to compare. Learners use their understanding of five-number summaries and box plots to find similarities and...
EngageNY
Connecting Graphical Representations and Numerical Summaries
Which graph belongs to which summary statistics? Class members build upon their knowledge of data displays and numerical summaries to connect the two. Pupils make connections between different graphical displays of the same data in the...
EngageNY
Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
EngageNY
More Practice with Box Plots
Don't just think outside of the box — read outside of it! The 15th lesson in a 22-part unit provides pupils more work with box plots. Learners read the box plots to estimate the five-number summary and interpret it within the context....
EngageNY
Describing Variability Using the Interquartile Range (IQR)
The 13th instructional activity in a unit of 22 introduces the concept of the interquartile range (IQR). Class members learn to determine the interquartile range, interpret within the context of the data, and finish by finding the IQR...
EngageNY
Describing Distributions Using the Mean and MAD II
The 11th lesson in the series of 22 is similar to the preceding lesson, but requires scholars to compare distributions using the mean and mean absolute deviation. Pupils use the information to make a determination on which data set is...
EngageNY
Describing Distributions Using the Mean and MAD
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
EngageNY
Describing a Distribution Displayed in a Histogram
The shape of the histogram is also relative. Learners calculate relative frequencies from frequency tables and create relative frequency histograms. The scholars compare the histograms made from frequencies to those made from relative...
EngageNY
Creating a Histogram
Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...
EngageNY
Creating a Dot Plot
Which dot am I? Pupils create dot plots to represent sample data through the use of frequency tables. The third segment in a series of 22 asks individuals to analyze the dot plots they created. The scholars translate back and forth...
Virginia Department of Education
Exploring Statistics
Collect and analyze data to find out something interesting about classmates. Groups devise a statistical question and collect data from their group members. Individuals then create a display of their data and calculate descriptive...
Mathed Up!
Stem and Leaf Diagrams
Order the data within a stem-and-leaf display. Pupils take data and create and ordered stem-and-leaf diagrams, including the key. Participants take their data and determine answers about the information. Class members then find measures...
Mathed Up!
Scatter Graphs
Make an estimate by getting in line. The class works with scatter plots and lines of best fit to make an estimate for given values. Pupils determine whether there is a positive or negative correlation and draw a best-fit line. Using the...
Mathed Up!
Pie Charts
Representing data is as easy as pie. Class members construct pie charts given a frequency table. Individuals then determine the size of the angles needed for each sector and interpret the size of sectors within the context of frequency....
Balanced Assessment
Oil Consumption
An assessment presents a chart displaying oil consumption Pupils use the chart to determine the greatest increase in consumption, and then apply that information to figure out when the consumption may reach 100 million barrels a day.
Balanced Assessment
Dollar Line
Challenge the class to develop a story that matches a graph. The short assessment provides a line graph with the vertical axis labeled as dollars. The task asks pupils to develop a description of a situation that could be represented by...
TryEngineering
Data Representation: Millions of Colors
How many colors do you know? The lesson teaches scholars how digital devices use binary and hexadecimal representations to store colors. They learn how millions of colors are available on these devices.
Inside Mathematics
Snakes
Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five additional data...
Bowland
My Music
Scholars investigate how the tempo of music affects heartbeats. Groups develop hypotheses about music and its connection to heartbeats before carrying out an experiment. They analyze and present data from their investigations.