EngageNY
Interpreting the Standard Deviation
Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its...
Curated OER
Statistics: Standard Deviation and Outliers
In this statistics worksheet, statisticians construct a stem-plot and answer questions regarding the shape of the distribution, standard deviation, and outliers.
Virginia Department of Education
Organizing Topic: Data Analysis
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling...
CK-12 Foundation
Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
American Statistical Association
Bear Hugs
Scholars research arm span to determine who gives the best bear hugs. They use data from a national study to find the standard statistics for arm span. It includes mean, median, quartiles, spread, standard deviation, and more.
EngageNY
Distributions—Center, Shape, and Spread
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and standard deviation.
Stats Monkey
Everything I Ever Needed to Learn about AP Statistics I Learned from a Bag of M and M's®
Candy is always a good motivator! Use this collection of M&M's® experiments to introduce statistics topics, including mean, standard deviation, nonlinear transformation, and many more. The use of a hands-on model with...
Curated OER
Confidence Intervals: Population Mean; Population standard Deviation Known
In this confidence interval worksheet, students examine a given confidence level and sample data to determine the margin of error, identify a confidence interval, list the mean and give the standard deviation. Students complete seven...
Curated OER
Density of a Paper Clip Lab Review
Even though this assignment is brought to you by Physics Lab Online, it is best used as a math practice. Middle schoolers calculate the range, mean, mode, and median for a list of eight different paper clip densities. They analyze...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
EngageNY
Measuring Variability for Symmetrical Distributions
How do we measure the deviation of data points from the mean? An enriching activity walks your class through the steps to calculate the standard deviation. Guiding questions connect the steps to the context, so the process...
Centre for Innovation in Mathematics Teaching
Ten Data Analysis Activities
This thirteen page data analysis worksheet contains a number of interesting problems regarding statistics. The activities cover the concepts of average measurements, standard deviation, box and whisker plots, quartiles, frequency...
Mathematics Vision Project
Module 8: Statistics
What does it mean to be normal in the world of statistics? Pupils first explore the meaning of a normal distribution in the eight-lesson module. They then apply the statistics related to normal distributions such as mean, standard...
Curated OER
Hydrogen Peroxide Analysis
A scenario is presented for chemistry techs to address. Using titration techniques, they must analyze hydrogen peroxide solution samples. They evaluate accuracy and precision in the process. They also gain experience consulting the MSDS...
Curated OER
Mean, Variance, and Standard Deviation for the Binomial Distribution
Students review previous lessons on mean, variance, standard deviation, and expected value. They utlize formulas for these characteristics that are specifically designed for the binomial distribution. Students discuss the similarities...
EngageNY
Measuring Variability for Skewed Distributions (Interquartile Range)
Should the standard deviation be used for all distributions? Pupils know that the median is a better description of the center for skewed distributions; therefore, they will need a variability measure about the median for those...
Howard Hughes Medical Institute
Sampling and Normal Distribution
Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.
Virginia Department of Education
Calculating Measures of Dispersion
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
Curated OER
Confidence Intervals: Population Mean; Population Standard Deviation Unknown
In this confidence interval worksheet, young scholars examine given statistical information to find the margin of error. They construct a confidence interval for the population and find the mean. Seven statistical problems are available...
Curated OER
Variance and Covariance: How much to do baseball players really make?
Is baseball really the road to riches? Here, statisticians look at salary data from baseball players and use variance to measure the spread of the data to more accurately answer that question. Note: The salary data provided is from 1994,...
Howard Hughes Medical Institute
Spreadsheet Tutorial 3: Column Graphs, Error Bars, and Standard Error of the Mean
There's absolutely no error in using the tutorial! Learners use spreadsheets to create column or bar graphs with error bars. They also learn how to calculate the standard error of the mean in the tutorial. This is the third installment...
Curated OER
A Lesson In Standard Deviation
Pupils develop an informal understanding of standard deviation by having students find the mean and standard deviation of their hometown and comparing them to a town with a similar mean but a different standard deviation.
Curated OER
Standard Deviation
For this standard deviation worksheet, students solve and complete 10 different types of problems. First, they determine the number of standard deviations an item was from its mean. Then, students draw a model of what this would look...