Illustrative Math Alignment: Grade 6 Unit 8
Data Sets and Distributions
Lesson 13: Median
Use the following Media4Math resources with this Illustrative Math lesson.
| Thumbnail Image | Title | Body | Curriculum Nodes |
|---|---|---|---|
|
Math Example--Measures of Central Tendency--Median: Example 12 | Math Example--Measures of Central Tendency--Median: Example 12TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: -24, 50, -22, -27, 43, 41, 1, 27, -13, 7, 0. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 1. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 13 | Math Example--Measures of Central Tendency--Median: Example 13TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 0, 25, 26, 49, 39, 27, 1, 27, 38, 49, 10, 40. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 27. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 14 | Math Example--Measures of Central Tendency--Median: Example 14TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 45, 2, 20, 2, 37, 11, 46, 49, 21, 27, 50, 45. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 32. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 15 | Math Example--Measures of Central Tendency--Median: Example 15TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 2, -20, -5, 45, -15, 6, 27, 21, -17, -1, -31, -1. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of -1. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 16 | Math Example--Measures of Central Tendency--Median: Example 16TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: -18, -22, 21, 1, -37, 15, 16, -50, 10, -44, 34, -22. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of -8.5. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 17 | Math Example--Measures of Central Tendency--Median: Example 17TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 8, 14, 8, 45, 1, 31, 16, 40, 12, 30, 42, 30, 24. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 24. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 18 | Math Example--Measures of Central Tendency--Median: Example 18TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 40, -2, 10, 40, -31, 3, -34, -13, -10, 1, 30, 16, -16. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 1. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 19 | Math Example--Measures of Central Tendency--Median: Example 19TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 4, 12, 13, 35, 6, 16, 14, 27, 34, 30, 17, 17, 27, 44. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 17. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 20 | Math Example--Measures of Central Tendency--Median: Example 20TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 37, 6, 37, 36, 7, 28, 24, 30, 37, 39, 46, 12, 29, 23. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 29.5. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 21 | Math Example--Measures of Central Tendency--Median: Example 21TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 29, 23, 29, -29, -7, -29, 19, 34, 39, 30, -2, 40, 34, 42. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 29. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 22 | Math Example--Measures of Central Tendency--Median: Example 22TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 0, 12, -43, -1, 40, 1, 26, 31, 35, 18, 30, 19, 10, -46. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 15. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 23 | Math Example--Measures of Central Tendency--Median: Example 23TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 34, 29, 31, 49, 49, 14, 24, 13, 8, 6, 17, 23, 40, 10, 17. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 23. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 24 | Math Example--Measures of Central Tendency--Median: Example 24TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: -33, -20, 15, -21, -6, -41, -39, 9, -18, 22, 37, -20, -21, 42, -16. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is -18. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 25 | Math Example--Measures of Central Tendency--Median: Example 25TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 35, 36, 15, 42, 31, 32, 27, 30, 45, 22, 37, 18, 26, 31, 33, 5. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 31. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 26 | Math Example--Measures of Central Tendency--Median: Example 26TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 2, 49, 41, 30, 49, 35, 3, 35, 22, 41, 14, 37, 26, 21, 4, 47. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 32.5. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 27 | Math Example--Measures of Central Tendency--Median: Example 27TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 3, -43, 39, 29, 0, -23, 16, -35, 3, 32, -45, 2, -50, 7, 40, 24. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 3. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 28 | Math Example--Measures of Central Tendency--Median: Example 28TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 21, 49, 40, -39, 47, 25, 13, -35, -4, 1, 13, 1, 14, -34, -15, -12. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 7. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 29 | Math Example--Measures of Central Tendency--Median: Example 29TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 26, 26, 22, 2, 25, 1, 40, 41, 26, 49, 13, 27, 30, 34, 23, 39, 6. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 26. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 30 | Math Example--Measures of Central Tendency--Median: Example 30TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 20, 30, 17, -36, 26, 6, 8, -30, -21, 0, 42, -19, -34, 39, 6, -18, 24. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 6. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 31 | Math Example--Measures of Central Tendency--Median: Example 31TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 13, 33, 13, 4, 6, 0, 28, 0, 26, 8, 8, 27, 12, 33, 16, 48, 9, 22. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 13. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 32 | Math Example--Measures of Central Tendency--Median: Example 32TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 50, 5, 24, 10, 11, 0, 42, 26, 13, 44, 0, 28, 25, 44, 12, 33, 8, 39. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 24.5. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 33 | Math Example--Measures of Central Tendency--Median: Example 33TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: -22, 30, -39, 46, 50, 27, -42, -15, 15, -14, 47, -31, 21, -2, -27, -9, -22, -9. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of -4.5. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 34 | Math Example--Measures of Central Tendency--Median: Example 34TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: -4, -44, 24, -48, 35, -3, 50, 34, -32, 42, 11, 22, -49, -4, -31, 41, 30, 17. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an even number of terms, the median is calculated as the average of the two middle terms, resulting in a median of 14. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 35 | Math Example--Measures of Central Tendency--Median: Example 35TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 48, 49, 21, 10, 20, 20, 44, 41, 5, 35, 48, 35, 4, 17, 15, 8, 16, 22, 39. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 21. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 36 | Math Example--Measures of Central Tendency--Median: Example 36TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 20, -35, 22, 1, -42, -7, 15, -12, 25, 39, 17, 16, -42, -28, -27, -19, 48, 25, -43. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 1. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 37 | Math Example--Measures of Central Tendency--Median: Example 37TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 3, 1, 4, 2, 5. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 3. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 38 | Math Example--Measures of Central Tendency--Median: Example 38TopicMeasures of Central Tendency DescriptionThis example demonstrates finding the median of the following set of numbers: 3, 5, 1, 4, 2. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 3. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 39 | Math Example--Measures of Central Tendency--Median: Example 39TopicMeasures of Central Tendency DescriptionThis example illustrates the process of finding the median for the set of numbers: 2, 5, 7, 10, 12. The solution involves arranging the numbers from least to greatest and then identifying the middle value. With an odd number of terms, the median is simply the middle number after sorting, which is 7. |
Data Analysis |
|
Math Example--Measures of Central Tendency--Median: Example 40 | Math Example--Measures of Central Tendency--Median: Example 40TopicMeasures of Central Tendency DescriptionThis example demonstrates the general process of finding the median for a set of numbers. The solution involves arranging the numbers from least to greatest and then identifying the middle value. The procedure differs slightly depending on whether there is an odd or even number of terms in the dataset. |
Data Analysis |
|
Definition--Measures of Central Tendency--Median | MedianTopicStatistics DefinitionThe median is a measure of central tendency that provides the middle value of a data set.. DescriptionThe 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--Triangle Concepts--Medians of a Triangle | Medians of a TriangleTopicTriangles DefinitionThe medians of a triangle are line segments drawn from each vertex to the midpoint of the opposite side. DescriptionThe medians of a triangle are significant in geometry, representing line segments drawn from each vertex to the midpoint of the opposite side. The point where the medians intersect is called the centroid, which is the triangle's center of mass. |
Definition of a Triangle |
|
Formulas--Median | Formulas--Median
The formula for the Median. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
|
MATH EXAMPLES--The Median | MATH EXAMPLES--The Median
This set of tutorials provides 40 examples of calculating the median. NOTE: The download is a PPT file. |
Data Analysis |
|
VIDEO: Ti-Nspire Mini-Tutorial, Video 71 | VIDEO: TI-Nspire Mini-Tutorial: Finding the 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. |
Data Analysis |
