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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...
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
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.
EngageNY
Summarizing a Distribution Using a Box Plot
Place the data in a box. Pupils experiment with placing dividers within a data set and discover a need for a systematic method to group the data. The 14th activity in a series of 22 outlines the procedure for making a box plot based...
EngageNY
More Practice with Box Plots
Don't just think outside of the box — read outside of it! The 15th lesson plan 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...
EngageNY
Sampling Variability and the Effect of Sample Size
The 19th installment in a 25-part series builds upon the sampling from the previous unit and takes a larger sample. Pupils compare the dot plots of sample means using two different sample sizes to find which one has the better variability.
US Department of Commerce
Exploring Sampling Variability - Higher Education Attainment Across The United States
More education in statistics is always beneficial. Given cards that provide the proportion of adults with bachelor's degrees in 10 random US states, scholars individually determine the sample percentage of states in which more than 30...
American Statistical Association
A Tale of One City and Two Lead Measurements
Lead the way in learning about lead contamination. Pupils first read several articles about the Flint water crisis and the EPA's rules for lead concentration. They use provided data from 71 Flint water wells to compute the 90th...
American Statistical Association
Who Has the Longest First Name?
Name that statistic! Classmates each write their name and the number of letters in it on a sticky note to place on the board. As a class, they determine the median, mode, and range of the name lengths, and create a dot plot of the data....
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...
Mathematics Vision Project
Modeling Data
Is there a better way to display data to analyze it? Pupils represent data in a variety of ways using number lines, coordinate graphs, and tables. They determine that certain displays work with different types of data and use...
American Statistical Association
How Long Are the Words in the Gettysburg Address?
It's 268 words, but one only needs to consider 10 of them at a time. A data collection and analysis activity has learners investigate the lengths of words in the Gettysburg Address. They first self-select a sample of 10 words and...
EngageNY
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.
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
Describing the Center of a Distribution Using the Median
Find the point that splits the data. The lesson presents to scholars the definition of the median through a teacher-led discussion. The pupils use data lists and dot plots to determine the median in sets with even and odd number of data...
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 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 the Center of a Distribution
So the mean is not always the best center? By working through this exploratory activity, the class comes to realize that depending upon the shape of a distribution, different centers should be chosen. Learners continue to explore...
Radford University
Danger! – An Analysis of the Death Toll of Natural Disasters
Decipher the danger of natural disasters. Using researched data, scholars work in groups to create data displays on the number of deaths from different types of natural disasters. They share their graphical representations with the class...
American Statistical Association
Speedster
Catch me if you can. Scholars collect data on reaction time by catching a falling ruler or by using an Internet app. They determine the median of the data, create graphs, and analyze the results. They also compare their data to the rest...
Radford University
Let's Buy a Car
Ready to buy a car? Learners research different makes and models of cars to decide on the best one to buy. They collect data on cost, fuel efficiency, safety ratings, and insurance costs, then create and analyze data displays to make...
American Statistical Association
The Taste of Yellow
Does lemonade taste better when yellow? A tasty experiment has scholars determine the answer to the question. It requires conducting a taste test with lemonades of different colors (from food coloring), and then collecting and analyzing...
US Department of Commerce
Sample Means - Exploring Sampling Variability
Sample an excellent resource on sampling variability. Pupils analyze census data on the percentage of homes in each state that have Internet access. They take random samples of different sample sizes, determine the sample means, and then...