Illustrative Math-Media4Math Alignment

Illustrative Math Alignment: Grade 6 Unit 8

Data Sets and Distributions

Lesson 10: Finding and Interpreting the Mean as the Balance Point

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image	Title	Body	Curriculum Nodes
	Math Example--Measures of Central Tendency--Mode: Example 68	Math Example--Measures of Central Tendency--Mode: Example 68 Topic Measures of Central Tendency Description This example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. Example 68 illustrates a set of numbers with the mode highlighted. The numbers are arranged in ascending order. This demonstrates how to identify the mode when a number appears more frequently than others in a data set.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 69	Math Example--Measures of Central Tendency--Mode: Example 69 Topic Measures of Central Tendency Description This example showcases a situation where there are multiple modes in a dataset. The image shows how numbers are arranged from least to greatest and highlights two modes: "26" and "36." This demonstrates that datasets can have more than one mode when two or more numbers appear with equal highest frequency. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 70	Math Example--Measures of Central Tendency--Mode: Example 70 Topic Measures of Central Tendency	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 71	Math Example--Measures of Central Tendency--Mode: Example 71 Topic Measures of Central Tendency Description The image presents a math example on determining the mode of a sequence of numbers. After sorting them in order from least to greatest, the number -7 is highlighted as it appears most frequently. This demonstrates how to identify the mode when a number appears more frequently than others in a data set that includes both positive and negative numbers. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 72	Math Example--Measures of Central Tendency--Mode: Example 72 Topic Measures of Central Tendency Description This image shows a math example on finding the mode in a data set. The numbers are sorted from least to greatest with two modes highlighted: 15 and 27. This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 73	Math Example--Measures of Central Tendency--Mode: Example 73 Topic Measures of Central Tendency Description The image shows a math problem about finding the mode of a set of numbers. It includes the original set of numbers and the same set arranged in ascending order. The solution indicates "No Mode". This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 74	Math Example--Measures of Central Tendency--Mode: Example 74 Topic Measures of Central Tendency Description The image presents a math problem about finding the mode of a set of numbers. It shows the original set and the same set arranged in ascending order. The solution highlights the number 27 as occurring most frequently. This demonstrates how to identify the mode when a number appears more frequently than others in a data set. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 75	Math Example--Measures of Central Tendency--Mode: Example 75 Topic Measures of Central Tendency Description The image displays a math problem about finding the mode of a set of numbers. It includes the original set and the same set arranged in ascending order. The solution highlights two numbers, 24 and 34, as occurring most frequently. This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 76	Math Example--Measures of Central Tendency--Mode: Example 76 Topic Measures of Central Tendency Description The image shows a math problem about finding the mode of a set of numbers. It presents the original set and the same set arranged in ascending order. The solution indicates "No Mode". This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 77	Math Example--Measures of Central Tendency--Mode: Example 77 Topic Measures of Central Tendency Description The image shows a math example focused on finding the mode of a set of numbers. The numbers are initially listed in random order and then rearranged from least to greatest. The mode is highlighted. This demonstrates how to identify the mode when a number appears more frequently than others in a data set that includes both positive and negative numbers. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Math Example--Measures of Central Tendency--Mode: Example 78	Math Example--Measures of Central Tendency--Mode: Example 78 Topic Measures of Central Tendency Description The image depicts another math example on finding the mode. It includes a list of numbers that are sorted from least to greatest. The mode is identified and highlighted in red. This demonstrates how to identify multiple modes when two or more numbers appear with equal highest frequency in a data set. Lessons on measures of central tendency help students understand how to interpret data using different statistical measures like mean and median along with mode.	Data Analysis
	Definition--Measures of Central Tendency--Mean	Mean Topic Statistics Definition The mean is a measure of central tendency that provides an average representation of a set of data. Description The Mean is an important concept in statistics, used to summarize data effectively. In real-world applications, the Mean 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
	Definition--Measures of Central Tendency--Median	Median Topic Statistics Definition The median is a measure of central tendency that provides the middle value of a data set.. Description The Median is an important concept in statistics, used to summarize data effectively. In real-world applications, the Median helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For large data sets, the Median provdes an average that doesn't involve the massive calculation of a mean.	Data Analysis
	Definition--Measures of Central Tendency--Mode	Mode Topic Statistics Definition The mode is the most frequent data item.. Description The Mode is an important concept in statistics, used to summarize data effectively. It is the most frequent data item in a data set. A data set can have more than one mode. In mathematics education, understanding mode 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--Range	Range Topic Statistics Definition The range is the difference between the highest and lowest values in a data set. Description The range is a simple measure of variability that indicates the spread of a data set. It is calculated by subtracting the smallest value from the largest value, providing a quick sense of the data's dispersion. The range is used in various fields, including finance and quality control, to assess the variability and consistency of data.	Data Analysis
	Formulas--Mean	Formulas--Mean The formula for the Mean. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Data Analysis
	VIDEO: Ti-Nspire Mini-Tutorial, Video 70	VIDEO: TI-Nspire Mini-Tutorial: Finding the 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.	Data Analysis