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The students will be using real life data to create and analyze histograms. They will be surveying their classmates and using data from other grade levels to compare same topic information in a histogram.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
Date Added:
12/01/2022
Read the Fine Print
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Students will see how an actuary uses histograms to analyze the frequency of events to determine risk.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
Date Added:
12/01/2022
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This lesson plan introduces quartiles and box plots. It contains an activity and discussion. Supplemental activities about how students can represent data graphically are also included.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Shodor
Date Added:
08/07/2023
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Harry keeps track of the number of times he sneezes in certain locations to try to diagnose the cause of his allergy in this video segment from Cyberchase.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Author:
U.S. Department of Education
WNET
Date Added:
07/08/2008
Read the Fine Print
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Explains the features of histograms, when they are useful, and the statistical vocabulary that is used when describing them. Also models how to compare and contrast distributions. Includes downloadable study guide with exercises - guide also covers other topics. [12:05]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Texas Education Agency
Date Added:
08/28/2023
Conditional Remix & Share Permitted
CC BY-NC
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Subject:
Mathematics
Provider:
Pearson
Date Added:
02/28/2022
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CC BY-NC
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Distributions and Variability

Type of Unit: Project

Prior Knowledge

Students should be able to:

Represent and interpret data using a line plot.
Understand other visual representations of data.

Lesson Flow

Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.

Students learn different tools for analyzing data, including:

Measures of center: mean (average), median, mode
Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
Visual representations: line plot, box plot, histogram

These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.

To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.

Subject:
Mathematics
Statistics and Probability
Provider:
Pearson
Conditional Remix & Share Permitted
CC BY-NC
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Groups begin presentations for their unit project. Students provide constructive feedback on others' presentations.Key ConceptsThe unit project serves as the final assessment. Students should demonstrate their understanding of unit concepts:Measures of center (mean, median, mode) and spread (MAD, range, interquartile range)The five-number summary and its relationship to box plotsRelationship between data sets and line plots, box plots, and histogramsAdvantages and disadvantages of portraying data in line plots, box plots, and histogramsGoals and Learning ObjectivesPresent projects and demonstrate an understanding of the unit concepts.Provide feedback for others' presentations.Review the concepts from the unit.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
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Remaining groups present their unit projects. Students discuss teacher and peer feedback.Key ConceptsThe unit project serves as the final assessment. Students should demonstrate their understanding of unit concepts:Measures of center (mean, median, mode) and spread (MAD, range, interquartile range)The five-number summary and its relationship to box plotsRelationship between data sets and line plots, box plots, and histogramsAdvantages and disadvantages of portraying data in line plots, box plots, and histogramsGoals and Learning ObjectivesPresent projects and demonstrate an understanding of the unit concepts.Provide feedback for others' presentations.Review the concepts from the unit.Review presentation feedback and reflect.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
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Students make a histogram of their typical-student data and then write a summary of what the histogram shows.Students are introduced to histograms, using the line plot to build them. They investigate how the bin width affects the shape of a histogram. Students understand that a histogram shows the shape of the data, but that measures of center or spread cannot be found from the graph.Key ConceptsA histogram groups data values into intervals and shows the frequency (the number of data values) for each interval as the height of a bar.Histograms are similar to line plots in that they show the shape and distribution of a data set. However, unlike a line plot, which shows frequencies of individual data values, histograms show frequencies of intervals of values.We cannot read individual data values from a histogram, and we can't identify any measures of center or spread.Histograms sometimes have an interval with the most data values, referred to as the mode interval.Histograms are most useful for large data sets, where plotting each individual data point is impractical.The shape of a histogram depends on the chosen width of the interval, called the bin width. Bin widths that are too large or too small can hide important features of the data.Goals and Learning ObjectivesLearn about histograms as another tool to describe data.Show that histograms are used to show the shape of the data for a wider range of data.Compare a line plot and histogram for the same set of data.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
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Students explore how adjusting the bin width or adding, deleting, or moving data values affects a histogram.Students use the Histogram interactive to explore how the bin width can affect how the data are displayed and interpreted. Students also explore how adjusting the line plot affects the histogram.Key ConceptsAs students learned in the last lesson, a histogram shows data in intervals. It shows how much data is in each bin, but it does not show individual data. In this lesson, students will see that the same histogram can be made with different sets of data. Students will also see that the bin width can greatly affect how the histogram looks.Goals and Learning ObjectivesExplore what the shape of the histogram tells us about the data set and how the bin width affects the shape of the histogram.Clarify similarities and differences between histograms and line plots.Compare a line plot and histogram for the same set of data.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Read the Fine Print
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Vision is the primary sense of many animals and much is known about how vision is processed in the mammalian nervous system. One distinct property of the primary visual cortex is a highly organized pattern of sensitivity to location and orientation of objects in the visual field. But how did we learn this? An important tool is the ability to design experiments to map out the structure and response of a system such as vision. In this activity, students learn about the visual system and then conduct a model experiment to map the visual field response of a Panoptes robot. (In Greek mythology, Argus Panoptes was the "all-seeing" watchman giant with 100 eyes.) A simple activity modification enables a true black box experiment, in which students do not directly observe how the visual system is configured, and must match the input to the output in order to reconstruct the unseen system inside the box.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Gisselle Cunningham
Michael Trumpis
Shingi Middelmann
Date Added:
10/14/2015
Conditional Remix & Share Permitted
CC BY-SA
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Find the next hit movie based on trends by structuring and analyzing data in a spreadsheet. Time to complete: 6-9 hours

Subject:
Mathematics
Technology
Material Type:
Lesson
Lesson Plan
Provider:
Google
Provider Set:
Applied Digital Skills
Date Added:
05/03/2022
Read the Fine Print
Educational Use
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Richland Community College provides a glossary of many terms that are needed in order to understand statistics graphs and charts. Each of the types of charts is quickly explained in terms of what it is most effective in displaying.

Subject:
Mathematics
Science
Material Type:
Reading
Provider:
Richland Community College
Date Added:
12/01/2023
Read the Fine Print
Educational Use
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This site provides information on Histograms and Bar Graphs. It includes worksheets, key terms, and links to further information.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Shodor
Date Added:
12/01/2023
Read the Fine Print
Educational Use
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Lesson plan introduces students to stem-and-leaf plots. Many resources are available for student and teachers here.

Subject:
Mathematics
Science
Material Type:
Lesson Plan
Provider:
Shodor
Date Added:
12/01/2023
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students get their first experience of statistics in this unit, defining a statistical question and investigating the key concepts of measures of center and measures of variability.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics
Date Added:
11/19/2021
Read the Fine Print
Educational Use
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Video serves as an introduction to frequency tables which tell you how often something occurs in a set of data. [6:44]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
Date Added:
10/01/2022
Read the Fine Print
Educational Use
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Take a look at this video tutorial for information on histograms. [5:23]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
Date Added:
10/01/2022
Read the Fine Print
Educational Use
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This MathWorld site offers a clear definition and examples of a histogram.

Subject:
Mathematics
Material Type:
Reading
Provider:
Wolfram
Date Added:
12/01/2023