Statistics & Probability

Random Coin Toss
Flip a virtual coin to introduce or explore the concept of probability. This interactive exercise focuses on determining probabilities associated with repeated coin tosses and building tree diagrams to take math out of the classroom and into the real world. This resource is part of the Math at the Core: Middle School Collection.
Grades: 47 
The Lowdown  Examining California's Prison System: RealWorld Ratio
In this infographic from KQED, examine age, gender, and race in California’s prison population to note the inconsistencies between who is in the general population and who is serving time behind bars. In the accompanying classroom activity, students examine the demographics of California’s prison population. After learning how to find a part given the whole and the percent, students find the size of different populations in the prison system. Students then analyze the data and make recommendations for identifying the communities at which they think crimeprevention efforts should be targeted. This resource is part of the Math at the Core: Middle School Collection.
Grades: 6 
Variation About the Mean: The Boston Harbor Project
Investigate how the Massachusetts Water Resources Authority has determined that their water treatment facility has had a positive impact on Boston Harbor. This video focuses on how mean, standard deviation, and confidence intervals are used to demonstrate measureable improvements in the water quality, taking math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School Collection.
Grades: 57 
Comparative Experimental Design
Test your memory on three letter words and nonwords. This interactive exercise focuses on the designs of comparative experimental studies versus comparative observational studies. This resource is part of the Math at the Core: Middle School Collection.
Grades: 67 
Random Sampling and Estimation: Lake Victoria
Learn how scientists in Kenya are trying to determine the populations of endangered species in the Lake Victoria region. This video focuses on how random sampling and statistics are used during conservation efforts and how the mean can be used to estimate the size of a population, taking math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School Collection.
Grades: 68 
Probability Space
Introducing Cardano's contribution to the concept of theoretical probability. This video provides a visual representation of sample space for random events and explains how to calculate probability. This resource is part of the Math at the Core: Middle School Collection.
Grades: 78 
Random Sampling: How Many Fish?
Experiment with random sampling methodology using goldfish crackers. This video focuses on making inferences based on a set of data, finding averages, and using a ratio table to demonstrate statistical procedures used by scientists when estimating populations in the real world. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School Collection.
Grades: 67 
Probability with Dice
Explore basic probability by visualizing all possible outcomes in the sample space. This video focuses on charting the sample space for rolling two dice and then calculating the probability of rolling an 8 using the charted sample space. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School Collection.
Grades: 67 
Compound Probability
Learn how to use modeling to compute probabilities as the number of successes over the total number of possibilities. This video focuses on calculating compound probabilities of overlapping sets and visualizing the solution using playing cards. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.This resource is part of the Math at the Core: Middle School Collection.
Grades: 78 
Soul Food Junkies: Survey
Consider the relationships between health and diet and reflect on your own food choices with this video from the Center for Asian American Media. This resource is part of the Math at the Core: Middle School Collection.
Grades: 68, 13+ 
Summarize Numerical Data Sets Using Venn Diagrams
In this Cyberchase media gallery, explore Venn diagrams and how they are used to represent data overlap and differences. Comical and realworld examples are provided using two and three circles, plus a circlewithinacircle representation. In the accompanying classroom activity, students sort classmates according to given characteristics, such as the color or design of their clothing or footwear. They then complete a Venn diagram that demonstrates the sorting rule. This resource is part of the Math at the Core: Middle School Collection.
Grades: 56 
Data Analysis Using Mean, Median, Mode, and Range
In this media gallery, a series of videos examines the mathematical concepts of mean, median, mode, and range. The accompanying classroom activity asks students to build on what they’ve learned by playing a game called "Sure Shots." In this game, students are directed to find out how many attempts it takes, on average, to get a pompom into a can. Students make a series of attempts and collect the data. Then, after a group discussion, they take the data and determine the mean, median, mode, or range. This resource is part of the Math at the Core: Middle School Collection.
Grades: 6 
The Lowdown  RealWorld Data Sets: Low and HighPaying Jobs
In this interactive, two infographics display the 10 lowest and highestpaid jobs in the United States in 2012, based on figures provided by the US Bureau of Labor Statistics. In the accompanying classroom activity, students examine the data in the interactive to determine how different the top of the pay scale is from the bottom. Given salary ranges for positions on the top and bottom of the corporate ladder, students construct and analyze box plots to see just how wide the disparity is. This resource is part of the Math at the Core: Middle School Collection.
Grades: 6 
The Lowdown  Measuring Variability Through Tracking Wildfires
In this interactive, learn about wildfires in the western US using an interactive map profiling active fires and graphs depicting historical data. In the accompanying classroom activity, students review aggregated data for 11 western states and then focus on data from a single state, describing the shape of the data and comparing changes across decades. To get the most out of this activity, students should be comfortable calculating mean and be familiar with percent. This resource is part of the Math at the Core: Middle School Collection.
Grades: 6 
Make a Stem and Leaf Plot
Explore how frequency and variation within the data are represented in a stem and leaf plot. This interactive plot focuses on inputting data into a stem and leaf plot. This resource is part of the Math at the Core: Middle School Collection.
Grades: 68 
Scatter Plot
Consider the graphical relationship between arm span and height. This interactive exercise focuses on taking measurements, adding them to a table, and then plotting them so you can interpret the graph. This resource is part of the Math at the Core: Middle School Collection.
Grades: 68 
Describing Distributions: New Balance
Investigate how compiling sales data helps New Balance determine its production plans. This video focuses on how a graphical representation of data can help predict what quantity of each shoe and size to produce in order to meet consumer demand and maximize sales, taking math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School Collection.
Grades: 57 
Estimation from Random Sampling
Estimate the penguin population in a region using your critical thinking skills. This interactive exercise focuses on random sampling and averaging to draw conclusions about the size of the population, taking math out of the classroom and into the real world. This resource is part of the Math at the Core: Middle School Collection.
Grades: 57 
The Lowdown  Life Expectancy: Finding Ratio Relationships
In this interactive map, learn how life expectancy, obesity, hypertension, and physical activity rates have changed dramatically throughout the United States over the last three decades. The accompanying classroom activity supports mathematical understanding by having students analyze and work with statistical information to compare life expectancy rates for males and females by regions of the country. This resource is part of the Math at the Core: Middle School Collection.
Grades: 6 
The Lowdown  Responses to a Court Verdict: Analyzing Samples to Gain Understanding
This KQED infographic invites students to analyze responses to a Pew Research Center poll gauging public reaction to the George Zimmerman verdict. In the accompanying classroom activity, students use data from the infographic to explore the poll’s responses. They draw upon this data to consider whether reactions to the verdict diverge along racial lines. They also consider which graphic representations best elucidate the data. To get the most out of this activity, students should be comfortable interpreting scaled picture graphs and be familiar with percent as rate per 100. This resource is part of the Math at the Core: Middle School Collection.
Grades: 67