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0 2 3 4 6 8 10 11 12 14 16 18 20 22 16 data points find the fraction between 6 and 11

0 2 3 4 6 8 10 11 12 14 16 18 20 22 16 data points find the fraction between 6 and 11

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Number Line Diagram and Fraction Problem Explanation** **Description:** In the image, there is a number line diagram with a series of data points and a problem to solve. **Number Line Diagram:** - The number line is marked at intervals of 2, starting from 0 and ending at 22. - The points are marked as 0, 2, 3, 4, 6, 8, 10, 11, 12, 14, 16, 18, 20, and 22. - There are boxes drawn around the segment from 3 to 8 and from 8 to 11. **Problem Statement:** - There are 16 data points spread across this number line. - The task is to find the fraction of data points that lie between the numbers 6 and 11. **Explanation:** 1. **Identify the Relevant Segment:** - The segment of interest is between the numbers 6 and 11. On the number line, these points are inclusive of 6 and 11. 2. **Count the Data Points within the Segment:** - The data points that lie between 6 and 11 are 6, 8, 10, and 11. This counts to 4 data points. 3. **Calculate the Fraction:** - There are a total of 16 data points in the entire dataset. - The fraction of data points between 6 and 11 is calculated as the number of data points in the segment divided by the total number of data points. - Fraction = Number of data points between 6 and 11 / Total number of data points = 4/16. - Simplify the fraction if possible. In this case, 4/16 simplifies to 1/4. **Conclusion:** - The fraction of data points that lie between the numbers 6 and 11 is 1/4. This explanation and solution can be used for educational purposes to demonstrate how to interpret a number line diagram and solve a fraction problem based on given data points.
Transcribed Image Text:**Number Line Diagram and Fraction Problem Explanation** **Description:** In the image, there is a number line diagram with a series of data points and a problem to solve. **Number Line Diagram:** - The number line is marked at intervals of 2, starting from 0 and ending at 22. - The points are marked as 0, 2, 3, 4, 6, 8, 10, 11, 12, 14, 16, 18, 20, and 22. - There are boxes drawn around the segment from 3 to 8 and from 8 to 11. **Problem Statement:** - There are 16 data points spread across this number line. - The task is to find the fraction of data points that lie between the numbers 6 and 11. **Explanation:** 1. **Identify the Relevant Segment:** - The segment of interest is between the numbers 6 and 11. On the number line, these points are inclusive of 6 and 11. 2. **Count the Data Points within the Segment:** - The data points that lie between 6 and 11 are 6, 8, 10, and 11. This counts to 4 data points. 3. **Calculate the Fraction:** - There are a total of 16 data points in the entire dataset. - The fraction of data points between 6 and 11 is calculated as the number of data points in the segment divided by the total number of data points. - Fraction = Number of data points between 6 and 11 / Total number of data points = 4/16. - Simplify the fraction if possible. In this case, 4/16 simplifies to 1/4. **Conclusion:** - The fraction of data points that lie between the numbers 6 and 11 is 1/4. This explanation and solution can be used for educational purposes to demonstrate how to interpret a number line diagram and solve a fraction problem based on given data points.
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