Illustrative Math Alignment: Grade 6 Unit 8

Data Sets and Distributions

Lesson 14: Comparing Mean and Median

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 6	Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 6 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for a dataset containing both positive and negative numbers: -4, -5, 6, 2, 5, 7, 9, 9, -9, 5. The step-by-step process demonstrates how to sum all values, including negative ones, and divide by the total number of data points to find the mean.	Data Analysis
Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 7	Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 7 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for a dataset that includes negative numbers and zero: -4, 0, 2, 9, -2, -3, -5, 10, -7, 5. The step-by-step process illustrates how to sum all values, including negatives and zero, and divide by the total number of data points to determine the mean.	Data Analysis
Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 8	Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 8 Topic Measures of Central Tendency Description This image shows a math example calculating the mean of a data set. The numbers are: 4, 8, -6, -6, 6, -3, 4, -8, -6, -8. The solution uses the mean formula. Example 8 demonstrates finding the mean of the data set. The mean is calculated by summing all numbers and dividing by the count of numbers, resulting in (-15) / (10) = -1.5.	Data Analysis
Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 9	Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 9 Topic Measures of Central Tendency Description The image shows Example 9, illustrating how to find the mean of a data set using the mean formula. This example demonstrates finding the mean of the data set: -8, -9, 10, -2, 3, -2, -8, -3, 2, 5. The calculation is shown step-by-step: Mean = Sum / Count. The sum of all numbers (-8 + (-9) + 10 + (-2) + 3 + (-2) + (-8) + (-3) + 2 + 5) is divided by the count of numbers (10), resulting in -12 / 10 = -1.2.	Data Analysis
Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 10	Math Example--Measures of Central Tendency--Mean of Data That Includes Negative Numbers--Example 10 Topic Measures of Central Tendency Description The image shows Example 10, demonstrating how to calculate the mean for a different set of numbers. This example illustrates finding the mean of the data set: -6, 5, -5, -5, -7, -7, -4, -1, 3. The calculation is presented step-by-step: Mean = Sum / Count. The sum of all numbers (-6 + 5 + (-5) + (-5) + (-7) + (-7) + (-4) + (-1) + 3) is divided by the count of numbers (10), resulting in -34 / 10 = -3.4.	Data Analysis
Interactive Math Game--DragNDrop--Measures of Central Tendency--Median	Description In this drag-and-drop game, have students practice their skills at calculating the median of a data set. This game generates thousands of different combinations, offering an ideal opportunity for skill review in a game format. Note: The download is the Teacher's Guide.	Data Analysis
Interactive Math Game--DragNDrop--Measures of Central Tendency--Mean	Interactive Math Game--DragNDrop Math--Measures of Central Tendency--Mean In this drag-and-drop game, have students practice their skills at calculating the mean of a data set. This game generates thousands of different combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Data Analysis
Closed Captioned Video: Mean of a Data List	Closed Captioned Video: Mean of a Data List In this TI Nspire tutorial, the Spreadsheet and Calculator windows are used to find the mean of a data list. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .	Data Analysis
Closed Captioned Video: Median of a Data List	Closed Captioned Video: Median of a Data List In this TI Nspire tutorial, the Spreadsheet and Calculator windows are used to find the median of a data list. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .	Data Analysis
Video Transcript: TI-Nspire Mini-Tutorial: Finding the Mean of a Data List	Video Transcript: TI-Nspire Mini-Tutorial: Finding the Mean of a Data List This is the transcript for the TI-Nspire Mini-Tutorial entitled, Finding the Mean of a Data List. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Data Analysis
Video Transcript: TI-Nspire Mini-Tutorial: Finding the Median of a Data List	Video Transcript: TI-Nspire Mini-Tutorial: Finding the Median of a Data List This is the transcript for the TI-Nspire Mini-Tutorial entitled, Finding the Median of a Data List. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Data Analysis
Closed Captioned Video: Measures of Central Tendency: Finding the Mode of a Data Set	Closed Captioned Video: Measures of Central Tendency: Finding the Mode of a Data Set In this video tutorial students learn how to calculate the mode of a data set, as well as how the mode differs from the mean and median.Includes three real-world examples.	Data Analysis and Data Gathering
Closed Captioned Video: Measures of Central Tendency: Finding the Median of a Data Set	Closed Captioned Video: Measures of Central Tendency: Finding the Median of a Data Set In this video tutorial students learn how to find the median of a data set. The mean is also calculated so that students can learn similarities and differences between these two measures of central tendency. Includes three real-world examples.	Data Analysis and Data Gathering
Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I	Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I In this video tutorial students learn how to calculate the mean when all of the data items are positive numbers. Includes three real-world examples.	Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Mode of a Data Set	Video Transcript: Measures of Central Tendency: Finding the Mode of a Data Set This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set." This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Data Analysis and Data Gathering
Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set	Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set This is part of a collection of video tutorials on the topic of Measures of Central Tendency.	Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Median of a Data Set	Video Transcript: Measures of Central Tendency: Finding the Median of a Data Set This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set." This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Data Analysis and Data Gathering
Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set	Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set This is part of a collection of video tutorials on the topic of Measures of Central Tendency.	Data Analysis and Data Gathering
Definition--Measures of Central Tendency--Outlier	Outlier Topic Statistics Definition The outlier is is an extreme value for a data set. Description The Outlier is an important concept in statistics. While it doesn't represent the average data set, it does set the range of extreme values in the data set. An outlier can be extremely large or small. In mathematics education, understanding outlier is crucial as it lays the foundation for more advanced statistical concepts. It allows students to grasp the significance of data analysis and interpretation. In classes, students often perform exercises calculating the mean of sets, which enhances their understanding of averaging techniques.	Data Analysis
Definition--Measures of Central Tendency--Normal Distribution	Normal Distribution Topic Statistics Definition The normal distribution is a measure of central tendency that provides an average representation of a set of data. Description The Normal Distribution is an important concept in statistics, used to summarize data effectively. In real-world applications, the Normal Distribution helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research.	Data Analysis
Definition--Measures of Central Tendency--Categorical Data	Categorical Data Topic Statistics Definition Categorical data refers to data that can be divided into specific categories or groups. Description Categorical data is essential for organizing and analyzing information that falls into distinct categories, such as gender, race, or product type. This type of data is often used in market research, social sciences, and public health studies to identify patterns and relationships between groups. In mathematics, understanding categorical data is crucial for interpreting bar charts, pie charts, and frequency tables.	Data Analysis
Definition--Measures of Central Tendency--Probability Distribution	Probability Distribution Topic Statistics Definition A probability distribution describes how the values of a random variable are distributed. Description Probability distributions are fundamental in statistics, providing a mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. They are used in various fields such as finance, science, and engineering to model uncertainty and variability. For instance, the normal distribution is a common probability distribution that describes many natural phenomena.	Data Analysis
Definition--Measures of Central Tendency	Measures of Central Tendency Topic Statistics Definition The measures of central tendency is a measure of central tendency that provides an average representation of a set of data. Description The Measures of Central Tendency is an important concept in statistics, used to summarize data effectively. In real-world applications, the Measures of Central Tendency helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For example, if a data set consists of the values 2, 3, and 10, the mean is calculated as (2 + 3 + 10)/3 = 5.	Data Analysis
Quizlet Flash Cards: Finding the Mode of a Data Set 1	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mode of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mode of a Data Set 2	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mode of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mode of a Data Set 3	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mode of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mode of a Data Set 4	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mode of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mode of a Data Set 5	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mode of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mean of a Data Set 1	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mean of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mean of a Data Set 2	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mean of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mean of a Data Set 3	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mean of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mean of a Data Set 4	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mean of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Mean of a Data Set 5	Description This set of 10 Quizlet Flashcards covers the topic of finding the Mean of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Range of a Data Set 1	Description This set of 10 Quizlet Flashcards covers the topic of finding the Range of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Range of a Data Set 2	Description This set of 10 Quizlet Flashcards covers the topic of finding the Range of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Range of a Data Set 3	Description This set of 10 Quizlet Flashcards covers the topic of finding the Range of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Range of a Data Set 4	Description This set of 10 Quizlet Flashcards covers the topic of finding the Range of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Range of a Data Set 5	Description This set of 10 Quizlet Flashcards covers the topic of finding the Range of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Median of a Data Set 1	Description This set of 10 Quizlet Flashcards covers the topic of finding the Median of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Median of a Data Set 2	Description This set of 10 Quizlet Flashcards covers the topic of finding the Median of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Median of a Data Set 3	Description This set of 10 Quizlet Flashcards covers the topic of finding the Median of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Median of a Data Set 4	Description This set of 10 Quizlet Flashcards covers the topic of finding the Median of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Quizlet Flash Cards: Finding the Median of a Data Set 5	Description This set of 10 Quizlet Flashcards covers the topic of finding the Median of a data set. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Data Analysis
Worksheet: Finding the Mean, Set 01	Worksheet: Finding the Mean, Set 01 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 02	Worksheet: Finding the Mean, Set 02 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 03	Worksheet: Finding the Mean, Set 03 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 04	Worksheet: Finding the Mean, Set 04 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 05	Worksheet: Finding the Mean, Set 05 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 06	Worksheet: Finding the Mean, Set 06 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Finding the Mean, Set 07	Worksheet: Finding the Mean, Set 07 This is part of a collection of math worksheets on the topic of finding the mean. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis