Illustrative Math Alignment: Grade 6 Unit 9
Putting it All Together
Lesson 1: Fermi Problems
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Measures of Central Tendency--Mode: Example 20 | Math Example--Measures of Central Tendency--Mode: Example 20TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image displays a math example where the mode is found by sorting the numbers and identifying the most frequent one. After arranging the numbers from least to greatest, it becomes clear that 0 appears twice, while all other numbers appear only once, making 0 the mode of this data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 21 | Math Example--Measures of Central Tendency--Mode: Example 21TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 21, focusing on finding the mode of a set of numbers. The numbers are listed in random order and then sorted from least to greatest. The mode is highlighted in red, demonstrating how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 22 | Math Example--Measures of Central Tendency--Mode: Example 22TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 22, which involves finding the mode of a set of numbers. The numbers are sorted from least to greatest, but no number repeats more than once, indicating 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 23 | Math Example--Measures of Central Tendency--Mode: Example 23TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 23 with a set of numbers where the mode is determined by sorting and identifying the most frequent number. The mode is highlighted in red, demonstrating how to identify the mode when a number appears more frequently than others in a data set that includes both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 24 | Math Example--Measures of Central Tendency--Mode: Example 24TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 24 with a set of numbers where two modes are identified after sorting. Both modes are highlighted in red, demonstrating that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 25 | Math Example--Measures of Central Tendency--Mode: Example 25TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows a math example focused on finding the mode of a set of numbers. The numbers are arranged in ascending order, and it is highlighted that there is no mode in this data set. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 26 | Math Example--Measures of Central Tendency--Mode: Example 26TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image provides a math example on finding the mode of a number set. The numbers are sorted in order with the mode (2) 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 27 | Math Example--Measures of Central Tendency--Mode: Example 27TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image illustrates a math problem about determining the mode from a list of numbers. The sorted list shows two modes (23 and 24) highlighted as they appear most frequently. This demonstrates that a data set can have more than one mode, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 28 | Math Example--Measures of Central Tendency--Mode: Example 28TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image depicts an example where students are tasked to find the mode in a number sequence. After sorting the numbers in order it is shown that there is no mode present in this set. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 29 | Math Example--Measures of Central Tendency--Mode: Example 29TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The numbers are listed, and a solution is provided below. This example 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 30 | Math Example--Measures of Central Tendency--Mode: Example 30TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows a math example labeled "Example 30" about finding the mode of a set of numbers. The numbers are listed, and a solution is provided below. This example demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 31 | Math Example--Measures of Central Tendency--Mode: Example 31TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The numbers are listed, and a solution is provided below. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 32 | Math Example--Measures of Central Tendency--Mode: Example 32TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The numbers are listed, and a solution is provided below. This example demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 33 | Math Example--Measures of Central Tendency--Mode: Example 33TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows an example problem asking to find the mode of a set of numbers. The numbers are listed and then rearranged from least to greatest. The mode is highlighted in red. This example demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 34 | Math Example--Measures of Central Tendency--Mode: Example 34TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image presents a problem where the task is to find the mode of a given set of numbers. The numbers are arranged in order but no number appears more than once; hence there is 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 35 | Math Example--Measures of Central Tendency--Mode: Example 35TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image displays a math example where a set of numbers is provided to find the mode. The numbers are sorted and the mode is highlighted in red as it appears multiple times in the list. This example 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 36 | Math Example--Measures of Central Tendency--Mode: Example 36TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image features an example problem asking for the mode of a list of numbers. After sorting them in ascending order and identifying duplicates with highlights in red indicating multiple modes present in this example. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 37 | Math Example--Measures of Central Tendency--Mode: Example 37TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. An example of finding the mode in a set of numbers is presented. The numbers are listed, sorted, and analyzed to determine if there is a mode. The result is "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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 38 | Math Example--Measures of Central Tendency--Mode: Example 38TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. An example showing how to find the mode in a set of numbers is presented. The numbers are sorted and analyzed to find that "42" is the mode. This demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 39 | Math Example--Measures of Central Tendency--Mode: Example 39TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. An example illustrating how to find the mode in a set of numbers is presented. The numbers are sorted and analyzed to reveal two modes: "43" and "44." This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 40 | Math Example--Measures of Central Tendency--Mode: Example 40TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. An example showing how to find the mode in a set of negative and positive numbers is presented. The analysis shows there is "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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 41 | Math Example--Measures of Central Tendency--Mode: Example 41TopicMeasures of Central Tendency DescriptionThis 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 41 shows a set of numbers with instructions to find the mode. The numbers are arranged from least to greatest, and the number 27 is highlighted as the mode. 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 42 | Math Example--Measures of Central Tendency--Mode: Example 42TopicMeasures of Central Tendency DescriptionThis 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 42 presents a set of numbers with instructions to find the mode. The numbers are sorted from least to greatest, and both 12 and 38 are highlighted as modes. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 43 | Math Example--Measures of Central Tendency--Mode: Example 43TopicMeasures of Central Tendency DescriptionThis 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 43 displays a set of numbers with instructions to find the mode. After arranging them from least to greatest, it concludes there is no mode as no number repeats more than once. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 44 | Math Example--Measures of Central Tendency--Mode: Example 44TopicMeasures of Central Tendency DescriptionThis 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 44 provides a set of numbers with instructions to find the mode. The numbers are arranged in ascending order and the number 24 is highlighted as the mode. This demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 45 | Math Example--Measures of Central Tendency--Mode: Example 45TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 45, which involves finding the mode of a set of numbers. The numbers are listed, and the solution involves sorting them and identifying the mode. This example demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 46 | Math Example--Measures of Central Tendency--Mode: Example 46TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 46 with a set of numbers to find the mode. The numbers are sorted but no number repeats more than once. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 47 | Math Example--Measures of Central Tendency--Mode: Example 47TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 47 with a set of numbers to find the mode. The numbers are sorted and one number is identified as the mode. 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 48 | Math Example--Measures of Central Tendency--Mode: Example 48TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows Example 48 with a set of numbers to find the mode. The numbers are sorted and two numbers are identified as modes. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 49 | Math Example--Measures of Central Tendency--Mode: Example 49TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows a math example about finding the mode of a set of numbers. The numbers are arranged from least to greatest, and it is determined that there is 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 50 | Math Example--Measures of Central Tendency--Mode: Example 50TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows a math example about finding the mode of a set of numbers. The numbers are arranged from least to greatest with the mode highlighted. This demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 51 | Math Example--Measures of Central Tendency--Mode: Example 51TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows a math example about finding the mode of a set of numbers. The numbers are arranged from least to greatest with the modes highlighted. This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 52 | Math Example--Measures of Central Tendency--Mode: Example 52TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image shows a math example about finding the mode of a set of numbers. The numbers are arranged from least to greatest and it is determined that there is 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 53 | Math Example--Measures of Central Tendency--Mode: Example 53TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows a math example focusing on finding the mode of a set of numbers. The numbers are arranged in ascending order to identify the mode. Highlighted numbers indicate the mode. 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 54 | Math Example--Measures of Central Tendency--Mode: Example 54TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image presents a math example about finding the mode. The numbers are sorted in ascending order with highlighted sections showing the modes. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 55 | Math Example--Measures of Central Tendency--Mode: Example 55TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. A math example illustrating how to find the mode of a number set is presented. The numbers are ordered from least to greatest and it concludes that there is 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 56 | Math Example--Measures of Central Tendency--Mode: Example 56TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. This image provides an example of finding the mode in a data set. Numbers are arranged in ascending order and highlighted to show which number appears most frequently. This demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 57 | Math Example--Measures of Central Tendency--Mode: Example 57TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. 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 with the mode highlighted. This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 58 | Math Example--Measures of Central Tendency--Mode: Example 58TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. 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 states "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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 59 | Math Example--Measures of Central Tendency--Mode: Example 59TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image displays 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 with the mode 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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 60 | Math Example--Measures of Central Tendency--Mode: Example 60TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. 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 with two potential modes highlighted. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 61 | Math Example--Measures of Central Tendency--Mode: Example 61TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows Example 61, which involves finding the mode of a set of numbers. The numbers are listed, and then arranged from least to greatest. It concludes with "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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 62 | Math Example--Measures of Central Tendency--Mode: Example 62TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows Example 62 with a list of numbers. After sorting them in ascending order, it identifies the mode as "20." This demonstrates how to identify the mode when a number appears more frequently than others in a data set. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 63 | Math Example--Measures of Central Tendency--Mode: Example 63TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows Example 63 with a list of numbers. After sorting them in ascending order, it identifies two modes: "20" and "44." This demonstrates that a data set can have multiple modes, which occurs when two or more numbers appear with the highest frequency. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 64 | Math Example--Measures of Central Tendency--Mode: Example 64TopicMeasures of Central Tendency DescriptionThis example showcases a situation of measures of central tendency, where the goal is to identify a key summary measure in a set of data. The image shows Example 64 with a list of numbers. After sorting them in ascending order without any repetition in frequency higher than others, it concludes with "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. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 65 | Math Example--Measures of Central Tendency--Mode: Example 65TopicMeasures of Central Tendency DescriptionThis 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 65 shows a list 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 that includes both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 66 | Math Example--Measures of Central Tendency--Mode: Example 66TopicMeasures of Central Tendency DescriptionThis 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 66 displays a set of numbers with two modes highlighted. The numbers are sorted in ascending order. This demonstrates that a data set can have multiple modes, even when it contains both positive and negative numbers. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 67 | Math Example--Measures of Central Tendency--Mode: Example 67TopicMeasures of Central Tendency DescriptionThis 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 67 presents a list of numbers with no mode indicated. The numbers are sorted in ascending order. This example reinforces the concept that not all data sets have a mode, particularly when each number in the set appears only once. |
Data Analysis |
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Math Example--Measures of Central Tendency--Mode: Example 68 | Math Example--Measures of Central Tendency--Mode: Example 68TopicMeasures of Central Tendency DescriptionThis 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 |
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Math Example--Measures of Central Tendency--Mode: Example 69 | Math Example--Measures of Central Tendency--Mode: Example 69TopicMeasures of Central Tendency DescriptionThis 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 |
