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...

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...

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,...

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...

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.

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. 

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...

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...

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...

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...

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...

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...

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...

Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.

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...

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...

In this statistics and probability worksheet, young statisticians solve and complete 13 different problems related to probability, percentages, and normal distributions. They consider data models, assumptions about the models, and find...

Nobody is too old to learn something new. Young statisticians analyze census data on the percentage of the population older than 65 years old in US counties. They fit a normal distribution to the data, determine the mean and standard...

Use graphs to interpret life in 136 counties. Pupils analyze histograms and describe the shapes of the distributions of data collected from several counties on different aspects of life. Scholars make predictions on the difference in...

Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...

Take a look at data from a statistical lens. An interactive allows pupils to enter data set, labeling the data including the units used. Manipulating the applet, learners select the statistics to calculate that include total, mean,...

Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences. 

Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...

Explore the concept of mean, median, and mode with pupils. They estimate the length of a string or the number of M&M's in a jar. Then find the mean, median, and mode of the class' estimates.