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...
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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...
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Developing a Statistical Project
The 17th lesson in a unit of 22 presents asks the class to conduct a statistics project. Pupils review the first two steps of the process of asking a question and collecting data. They then begin the process by developing a statistical...
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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.
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More Practice with Box Plots
Don't just think outside of the box — read outside of it! The 15th instructional activity 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...
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Describing Variability Using the Interquartile Range (IQR)
The 13th lesson 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 using an exclusive...
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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...
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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 activity in the 22-part series asks learners to...
EngageNY
Variability in a Data Distribution
Scholars investigate the spread of associated data sets by comparing the data sets to determine which has a greater variability. Individuals then interpret the mean as the typical value based upon the variability.
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The Mean as a Balance Point
It's a balancing act! Pupils balance pennies on a ruler to create a physical representation of a dot plot. The scholars then find the distances of the data points from the balance point, the mean.
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Describing the Center of a Distribution Using the Mean
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
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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...
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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...
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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...
EngageNY
Displaying a Data Distribution
Pupils analyze a display of data and review dot plots to make general observations about the highest, lowest, common, and the center of the data. To finish, learners match dot plots to scenarios.