Illustrative Math Alignment: Grade 8 Unit 6

Associations in Data

Lesson 11: Gone In 30 Seconds

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Math Example--Measures of Central Tendency--Mean: Example 28	Math Example--Measures of Central Tendency--Mean: Example 28 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for the numbers 9, -8, 5, -4, 16, -19, -17, 13, 1, 8, and 4. The process involves summing all values (4) and dividing by the count of numbers (10), resulting in a mean of 0.4. This example is particularly instructive as it shows how a mix of positive and negative numbers, including some relatively large values in both directions, can interact to produce a mean close to zero.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 29	Math Example--Measures of Central Tendency--Mean: Example 29 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for the numbers -3, -3, -14, and -4. The process involves summing all values (-24) and dividing by the count of numbers (4), resulting in a mean of -6. This example is particularly instructive as it demonstrates how to handle a dataset consisting entirely of negative numbers in the calculation of the mean.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 3	Math Example--Measures of Central Tendency--Mean: Example 3 Topic Measures of Central Tendency Description This example further explores the concept of calculating the mean, introducing a dataset with a different range of values. It demonstrates how the mean can be used to find a central value even when the numbers in the dataset are more spread out. The visual representation continues to reinforce the process of summing all values and dividing by the count of numbers.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 30	Math Example--Measures of Central Tendency--Mean: Example 30 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for the numbers -1, -2, -16, and -6. The process involves summing all values (-25) and dividing by the count of numbers (4), resulting in a mean of -6.25. This example is particularly instructive as it shows how to handle a dataset consisting entirely of negative numbers, including one significantly larger negative value, in the calculation of the mean.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 31	Math Example--Measures of Central Tendency--Mean: Example 31 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for the numbers 3, 9, 10, -19, and -13. The process involves summing all values (-10) and dividing by the count of numbers (5), resulting in a mean of -2. This example is particularly instructive as it demonstrates how to handle a mix of positive and negative numbers, including some relatively large values in both directions, in the calculation of the mean.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 32	Math Example--Measures of Central Tendency--Mean: Example 32 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for a set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it reinforces the concept of finding a central value that represents the entire dataset, even when dealing with a mix of positive and negative numbers.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 33	Math Example--Measures of Central Tendency--Mean: Example 33 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for another set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 34	Math Example--Measures of Central Tendency--Mean: Example 34 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for yet another set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 35	Math Example--Measures of Central Tendency--Mean: Example 35 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for a new set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 36	Math Example--Measures of Central Tendency--Mean: Example 36 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for another set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 37	Math Example--Measures of Central Tendency--Mean: Example 37 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for a new set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 38	Math Example--Measures of Central Tendency--Mean: Example 38 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for a set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it reinforces the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 39	Math Example--Measures of Central Tendency--Mean: Example 39 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for a new set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 4	Math Example--Measures of Central Tendency--Mean: Example 4 Topic Measures of Central Tendency Description This example continues to reinforce the concept of calculating the mean, presenting a new set of numbers for analysis. It emphasizes the consistency of the process: summing all values and dividing by the count of numbers, regardless of the specific values in the dataset. The visual representation helps students see how different numbers can still lead to a single, representative value.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 40	Math Example--Measures of Central Tendency--Mean: Example 40 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for another set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 41	Math Example--Measures of Central Tendency--Mean: Example 41 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for a new set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 42	Math Example--Measures of Central Tendency--Mean: Example 42 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for another set of numbers. The process involves summing all values and dividing by the count of numbers. This example is particularly instructive as it continues to reinforce the concept of finding a central value that represents the entire dataset, potentially dealing with a different range or distribution of numbers than previous examples.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 5	Math Example--Measures of Central Tendency--Mean: Example 5 Topic Measures of Central Tendency Description This fifth example in the series on calculating the mean introduces yet another set of numbers, further reinforcing the universality of the concept. It demonstrates how the process of finding the mean remains consistent: summing all values and dividing by the count of numbers, regardless of the specific values or the size of the dataset. The visual representation continues to aid in understanding the step-by-step process.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 6	Math Example--Measures of Central Tendency--Mean: Example 6 Topic Measures of Central Tendency Description This sixth example in the series on calculating the mean introduces a new set of numbers, further solidifying the concept and its application. It reiterates the consistent process of finding the mean: summing all values and dividing by the count of numbers, regardless of the specific values in the dataset. The visual representation continues to support understanding of each step in the calculation.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 7	Math Example--Measures of Central Tendency--Mean: Example 7 Topic Measures of Central Tendency Description This seventh example in the series on calculating the mean presents yet another set of numbers, further reinforcing the concept and its application in various scenarios. It continues to demonstrate the consistent process of finding the mean: summing all values and dividing by the count of numbers, regardless of the specific values or the size of the dataset. The visual representation aids in understanding each step of the calculation process.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 8	Math Example--Measures of Central Tendency--Mean: Example 8 Topic Measures of Central Tendency Description This example demonstrates the calculation of the mean for a set of numbers: 2, 19, 7, 19, 16, 19, and 0. The process involves summing all values and dividing by the count of numbers, resulting in an average of approximately 11.71. This example reinforces the concept of finding a central value that represents the entire dataset.	Data Analysis
Math Example--Measures of Central Tendency--Mean: Example 9	Math Example--Measures of Central Tendency--Mean: Example 9 Topic Measures of Central Tendency Description This example illustrates the calculation of the mean for the numbers 14, 11, 0, 19, 16, 16, 7, and 5. The process involves summing all values (88) and dividing by the count of numbers (8), resulting in a mean of 11. This example showcases how the mean can provide a central value that represents a diverse set of numbers, including zero.	Data Analysis
Math Example--Measures of Central Tendency--Median: Example 1	Math Example--Measures of Central Tendency--Median: Example 1 Topic Measures of Central Tendency Description This example demonstrates how to find the median of a set of numbers: 14, 35, 37, 28, 38, 28, 14, 12. The process involves arranging the numbers in ascending order and identifying the middle value. In this case, with an even number of terms, the median is calculated by finding the average of the two middle terms, resulting in a median of 28.	Data Analysis
Math Example--Measures of Central Tendency--Median: Example 10	Math Example--Measures of Central Tendency--Median: Example 10 Topic Measures of Central Tendency Description This example demonstrates finding the median of the following set of numbers: 6, -19, 38, 47, 46, -46, 15, 10, 24, 16. 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 15.5.	Data Analysis
Math Example--Measures of Central Tendency--Median: Example 11	Math Example--Measures of Central Tendency--Median: Example 11 Topic Measures of Central Tendency Description This example illustrates the process of finding the median for the set of numbers: 50, 41, 30, 30, 47, 31, 45, 12, 6, 14, 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 31.	Data Analysis
Math Example--Measures of Central Tendency--Median: Example 12	Math Example--Measures of Central Tendency--Median: Example 12 Topic Measures of Central Tendency Description This 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 13 Topic Measures of Central Tendency Description This 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 14 Topic Measures of Central Tendency Description This 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 15 Topic Measures of Central Tendency Description This 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 16 Topic Measures of Central Tendency Description This 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 17 Topic Measures of Central Tendency Description This 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 18 Topic Measures of Central Tendency Description This 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 19 Topic Measures of Central Tendency Description This 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 2	Math Example--Measures of Central Tendency--Median: Example 2 Topic Measures of Central Tendency Description This example illustrates the process of finding the median for the set of numbers: 3, 50, 43, 18, 14, 8, 38, 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 28.	Data Analysis
Math Example--Measures of Central Tendency--Median: Example 20	Math Example--Measures of Central Tendency--Median: Example 20 Topic Measures of Central Tendency Description This 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 21 Topic Measures of Central Tendency Description This 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 22 Topic Measures of Central Tendency Description This 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 23 Topic Measures of Central Tendency Description This 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 24 Topic Measures of Central Tendency Description This 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 25 Topic Measures of Central Tendency Description This 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

Illustrative Math Alignment: Grade 8 Unit 6

Associations in Data

Lesson 11: Gone In 30 Seconds

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