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5 10 15 20 25 30 35

5 10 15 20 25 30 35

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Understanding Box Plots: Identifying Extremes **Question:** What is the lower extreme of this set of data? **Multiple Choice Options:** 1. 25 2. 10 3. 34 4. 28 **Explanation:** A box plot, also known as a box-and-whisker plot, is a way to represent data distribution through their quartiles. The elements of the box plot are essential for understanding the spread and concentration of the data. Here is a step-by-step explanation of the box plot provided: 1. **Whiskers and Extremes:** The endpoints of the whiskers represent the minimum and maximum values in the dataset. The lower extreme (minimum value) is shown at the end of the left whisker, and the upper extreme (maximum value) is shown at the end of the right whisker. 2. **Box Boundaries:** - The left boundary of the box represents the first quartile (Q1). - The right boundary of the box represents the third quartile (Q3). 3. **Median Line:** The line inside the box indicates the median (Q2) of the dataset. 4. **Box Plot Illustration:** - The whisker extends from 5 to 34. - The minimum value (lower extreme) is 10. - The maximum value (upper extreme) is 34. So, based on the box plot, the **lower extreme** of this set of data is **10**. ### Answer Explanation: **Correct Answer:** - 10 By carefully analyzing the box plot and identifying the whiskers' end points, which represent the extremes, we deduce that the lowest point is marked at 10.
Transcribed Image Text:### Understanding Box Plots: Identifying Extremes **Question:** What is the lower extreme of this set of data? **Multiple Choice Options:** 1. 25 2. 10 3. 34 4. 28 **Explanation:** A box plot, also known as a box-and-whisker plot, is a way to represent data distribution through their quartiles. The elements of the box plot are essential for understanding the spread and concentration of the data. Here is a step-by-step explanation of the box plot provided: 1. **Whiskers and Extremes:** The endpoints of the whiskers represent the minimum and maximum values in the dataset. The lower extreme (minimum value) is shown at the end of the left whisker, and the upper extreme (maximum value) is shown at the end of the right whisker. 2. **Box Boundaries:** - The left boundary of the box represents the first quartile (Q1). - The right boundary of the box represents the third quartile (Q3). 3. **Median Line:** The line inside the box indicates the median (Q2) of the dataset. 4. **Box Plot Illustration:** - The whisker extends from 5 to 34. - The minimum value (lower extreme) is 10. - The maximum value (upper extreme) is 34. So, based on the box plot, the **lower extreme** of this set of data is **10**. ### Answer Explanation: **Correct Answer:** - 10 By carefully analyzing the box plot and identifying the whiskers' end points, which represent the extremes, we deduce that the lowest point is marked at 10.
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