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In this module, students reconnect with and deepen their understanding of statistics and probability concepts first introduced in Grades 6, 7, and 8. Students develop a set of tools for understanding and interpreting variability in data, and begin to make more informed decisions from data. They work with data distributions of various shapes, centers, and spreads. Students build on their experience with bivariate quantitative data from Grade 8. This module sets the stage for more extensive work with sampling and inference in later grades.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Mathematics
Statistics and Probability
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
08/01/2013
Educational Use
Rating
0.0 stars

In this video segment from TV411, figure skaters compute their average daily practice time.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Author:
U.S. Department of Education
WNET
07/10/2008
Educational Use
Rating
0.0 stars

This website from the BBC is a great introduction to averages (mean, median, and mode) and will take you through some interactive learning activities. A practice test and worksheet are also provided.

Subject:
Mathematics
Material Type:
Lesson
Provider:
BBC
Provider Set:
Bitesize
08/28/2023
Educational Use
Rating
0.0 stars

A tutorial to understand the three central tendencies and how to find them, as well as the standard deviation of values. Offers a discussion and practice problems.

Subject:
Mathematics
Material Type:
Module
Provider:
West Texas A&M University
Provider Set:
Beginning Algebra
08/28/2023
Educational Use
Rating
0.0 stars

Finding measures of central tendency will be applied to the different graphs throughout this unit.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
12/01/2022
Educational Use
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0.0 stars

Srudents connect mean, median, mode and range to real life. It will allow students to make sense of problems by using previously taught strategies.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
12/01/2022
Educational Use
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Understanding how to interpret data by its shape, spread, and center helps students to understand statistics.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
12/01/2022
Educational Use
Rating
0.0 stars

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
08/07/2023
Educational Use
Rating
0.0 stars

Students learn a simple technique for quantifying the amount of photosynthesis that occurs in a given period of time, using a common water plant (Elodea). They can use this technique to compare the amounts of photosynthesis that occur under conditions of low and high light levels. Before they begin the experiment, however, students must come up with a well-worded hypothesis to be tested. After running the experiment, students pool their data to get a large sample size, determine the measures of central tendency of the class data, and then graph and interpret the results.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mary R. Hebrank
09/26/2008
Educational Use
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At the end of this lesson, students will be able to recognize and apply the concepts of mean, median, and mode in real-life problems.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
PBS LearningMedia
11/06/2023
Educational Use
Rating
0.0 stars

Students use U.S. Geological Survey (USGS) real-time, real-world seismic data from around the planet to identify where earthquakes occur and look for trends in earthquake activity. They explore where and why earthquakes occur, learning about faults and how they influence earthquakes. Looking at the interactive maps and the data, students use Microsoft® Excel® to conduct detailed analysis of the most-recent 25 earthquakes; they calculate mean, median, mode of the data set, as well as identify the minimum and maximum magnitudes. Students compare their predictions with the physical data, and look for trends to and patterns in the data. A worksheet serves as a student guide for the activity.

Subject:
Earth and Space Science
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jessica Noffsinger
Jonathan Knudtsen
Karen Johnson
Mike Mooney
Minal Parekh
Scott Schankweiler
02/17/2021
Educational Use
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Students explore the concept of the mean as they examine and compare scores for various sports events.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
PBS LearningMedia
Author:
U.S. Department of Education
WNET
07/25/2008
Educational Use
Rating
0.0 stars

Brush up on your math skills relating to mean, median, mode, and range then try some practice problems to test your understanding.

Subject:
Mathematics
Material Type:
Provider:
IXL
10/02/2022
Educational Use
Rating
0.0 stars

Gain a basic understanding of mean, median, and mode by watching this easy to understand video tutorial. Additional resources are available as part of a paid subscription service. [11:03]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Math Antics
08/01/2022
Conditional Remix & Share Permitted
CC BY-NC
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Subject:
Mathematics
Provider:
Pearson
02/28/2022
Conditional Remix & Share Permitted
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:
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:
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
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In this lesson, students draw a line plot of a set of data and then find the mean of the data. This lesson also informally introduces the concepts of the median, or middle value, and the mode, or most common value. These terms will be formally defined in Lesson 6.Using a sample set of data, students review construction of a line plot. The mean as fair share is introduced as well as the algorithm for mean. Using the sample set of data, students determine the mean and informally describe the set of data, looking at measures of center and the shape of the data. Students also determine the middle 50% of the data.Key ConceptsThe mean is a measure of center and is one of the ways to determine what is typical for a set of data.The mean is often called the average. It is found by adding all values together and then dividing by the number of values.A line plot is a visual representation of the data. It can be used to find the mean by adjusting the data points to one value, such that the sum of the data does not change.Goals and Learning ObjectivesReview construction of a line plot.Introduce the concept of the mean as a measure of center.Use the fair-share method and standard algorithm to find the mean.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author:
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
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In this lesson, students are given criteria about measures of center, and they must create line plots for data that meet the criteria. Students also explore the effect on the median and the mean when values are added to a data set.Students use a tool that shows a line plot where measures of center are shown. Students manipulate the graph and observe how the measures are affected. Students explore how well each measure describes the data and discover that the mean is affected more by extreme values than the mode or median. The mathematical definitions for measures of center and spread are formalized.Key ConceptsStudents use the Line Plot with Stats interactive to develop a greater understanding of the measures of center. Here are a few of the things students may discover:The mean and the median do not have to be data points.The mean is affected by extreme values, while the median is not.Adding values above the mean increases the mean. Adding values below the mean decreases the mean.You can add values above and below the mean without changing the mean, as long as those points are “balanced.”Adding values above the median may or may not increase the median. Adding values below the median may or may not decrease the median.Adding equal numbers of points above and below the median does not change the median.The measures of center can be related in any number of ways. For example, the mean can be greater than the median, the median can be greater than the mean, and the mode can be greater than or less than either of these measures.Note: In other courses, students will learn that a set of data may have more than one mode. That will not be the case in this lesson.Goals and Learning ObjectivesExplore how changing the data in a line plot affects the measures of center (mean, median).Understand that the mean is affected by outliers more than the median is.Create line plots that fit criteria for given measures of center.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Author: