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Interactive
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CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
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Interactive
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1
CK-12 Foundation

Introduction to Mean, Median, and Mode: The Tree Conundrum

For Students 6th - 8th Standards
How many trees should we plant? Using an interactive as a manipulative, individuals find the mean, median, and mode for sets of data. They determine the number of trees to plant in each plot of land to reach a statistical goal.
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Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Determine the shape of weight. Using the interactive, class members build a histogram displaying weight ranges collected in a P.E. class. Scholars describe the shape of the histogram and determine which measure of central tendency to use...
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Activity
Education Development Center

Creating Data Sets from Statistical Measures

For Students 6th - 7th Standards
Explore the measures of central tendency through a challenging task. Given values for the mean, median, mode, and range, collaborative groups create a set of data that would produce those values. They then critique other answers and...
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Activity
Education Development Center

Interpreting Statistical Measures—Class Scores

For Students 9th - 12th Standards
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...
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Activity
Education Development Center

Choosing Samples

For Students 6th - 7th Standards
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
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Lesson Plan
EngageNY

The Mean Absolute Deviation (MAD)

For Teachers 6th Standards
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean absolute...
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Lesson Plan
Virginia Department of Education

Balancing Act

For Teachers 6th Standards
How many different interpretations of the mean are there? Scholars place numbers on a number line and determine the mean. They interpret the mean as the average value and as the balance point.
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Lesson Plan
Space Awareness

The Climate in Numbers and Graphs

For Teachers 6th - 10th Standards
Weather versus climate: weather relates to short time periods while climate averages the weather of a period of many years. Scholars learn about average temperature and precipitation in various climate zones and then apply statistics...
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Lesson Plan
EngageNY

Presenting a Summary of a Statistical Project

For Teachers 6th Standards
Based upon the statistics, this is what it means. The last instructional activity in a series of 22 has pupils present the findings from their statistical projects. The scholars discuss the four-step process used to complete the project...
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Lesson Plan
EngageNY

Summarizing a Data Distribution by Describing Center, Variability, and Shape

For Teachers 6th Standards
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
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Lesson Plan
EngageNY

Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation

For Teachers 6th Standards
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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Lesson Plan
EngageNY

Connecting Graphical Representations and Numerical Summaries

For Teachers 6th Standards
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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Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD II

For Teachers 6th Standards
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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Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Variability in a Data Distribution

For Teachers 6th Standards
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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Lesson Plan
EngageNY

The Mean as a Balance Point

For Teachers 6th Standards
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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Lesson Plan
EngageNY

Describing the Center of a Distribution Using the Mean

For Teachers 6th Standards
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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Unit Plan
Mathematics Vision Project

Modeling Data

For Teachers 9th - 10th Standards
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 two-way...
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Worksheet
Teacher's Corner

Brandon's Baseball Collection

For Students 3rd - 6th Standards
Ten questions make up a instructional activity that challenges baseball enthusiasts to read a graph then answer questions pertaining to the data's range, mean, median, and mode.  
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Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations

For Teachers 7th Standards
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
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Activity
Noyce Foundation

Through the Grapevine

For Students K - 12th Standards
Teach statistics by analyzing raisins. A thorough activity provides lesson resources for five levels to include all grades. Younger pupils work on counting and estimation, mid-level learners build on their understanding of the measures...
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Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
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Lesson Plan
Virginia Department of Education

Organizing Topic: Data Analysis

For Teachers 10th - 12th Standards
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 techniques....