15 advertised in all three 18 advertised in These Times and U.S. News 39 advertised in World and U.S. News 33 advertised in World and These Times 49 advertised in These Times 53 advertised in U.S. News 68 advertised in World Which is the correct Venn diagram representing this information? A) B) U 11 U.S. News U 18 11 U.S. News 15 13 These Times 3 24 24 15 11 World 18 5 13 These Times 11 World

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Text Transcription for Educational Use**

**Advertisements Breakdown by Publications:**

- 15 advertised in all three
- 18 advertised in *These Times* and *U.S. News*
- 39 advertised in *World* and *U.S. News*
- 33 advertised in *World* and *These Times*
- 49 advertised in *These Times*
- 53 advertised in *U.S. News*
- 68 advertised in *World*

**Question:**
Which is the correct Venn diagram representing this information?

**Diagram Analysis:**

**Option A:**
- Three intersecting circles labeled *U.S. News*, *World*, and *These Times*.
- The numbers placed in the specific intersections (central overlap and pair overlaps) represent the count of advertisements shared between the different publications.

- Center overlap (all three): 15
- Overlap *U.S. News* and *World*: 11
- Overlap *World* and *These Times*: 10
- Overlap *These Times* and *U.S. News*: 13
- Only *U.S. News*: 3
- Only *World*: 5
- Only *These Times*: 13

**Option B:**
- Similar arrangement with slightly different numbers in overlaps.

- Center overlap (all three): 15
- Overlap *U.S. News* and *World*: 13
- Overlap *World* and *These Times*: 24
- Overlap *These Times* and *U.S. News*: 18
- Only *U.S. News*: 3
- Only *World*: 5
- Only *These Times*: 13

**Task:**
Identify the Venn diagram that accurately represents the advertising data across the publications.
Transcribed Image Text:**Text Transcription for Educational Use** **Advertisements Breakdown by Publications:** - 15 advertised in all three - 18 advertised in *These Times* and *U.S. News* - 39 advertised in *World* and *U.S. News* - 33 advertised in *World* and *These Times* - 49 advertised in *These Times* - 53 advertised in *U.S. News* - 68 advertised in *World* **Question:** Which is the correct Venn diagram representing this information? **Diagram Analysis:** **Option A:** - Three intersecting circles labeled *U.S. News*, *World*, and *These Times*. - The numbers placed in the specific intersections (central overlap and pair overlaps) represent the count of advertisements shared between the different publications. - Center overlap (all three): 15 - Overlap *U.S. News* and *World*: 11 - Overlap *World* and *These Times*: 10 - Overlap *These Times* and *U.S. News*: 13 - Only *U.S. News*: 3 - Only *World*: 5 - Only *These Times*: 13 **Option B:** - Similar arrangement with slightly different numbers in overlaps. - Center overlap (all three): 15 - Overlap *U.S. News* and *World*: 13 - Overlap *World* and *These Times*: 24 - Overlap *These Times* and *U.S. News*: 18 - Only *U.S. News*: 3 - Only *World*: 5 - Only *These Times*: 13 **Task:** Identify the Venn diagram that accurately represents the advertising data across the publications.
### Venn Diagrams: Understanding Overlapping Data Sets

#### Diagram Explanation

In this image, there are two Venn diagrams, labeled C and D. Both diagrams illustrate the intersection of three data sets represented by the circles. Each circle contains numbers that represent unique values or counts within that set or the overlapping areas of multiple sets.

**Diagram C:**

- **Circles Labeled:**
  - **U.S. News**
  - **World**
  - **These Times**

- **Numbers within the circles:**
  - **U.S. News:** 11 (exclusive to U.S. News)
  - **World:** 11 (exclusive to World)
  - **These Times:** 13 (exclusive to These Times)
  - Intersection of U.S. News and World: 3
  - Intersection of U.S. News and These Times: 24
  - Intersection of World and These Times: 18

**Diagram D:**

- **Circles Labeled:**
  - **U.S. News**
  - **World**

- **Numbers within the circles:**
  - **U.S. News:** 24 (exclusive to U.S. News)
  - **World:** 18 (exclusive to World)
  - Intersection of U.S. News and World: 15

### Usage
Venn diagrams like these are used typically for displaying relationships between different data sets to identify shared and unique values. They are especially useful in statistics, research, and problem-solving across various fields to analyze how different categories overlap or are exclusive.
Transcribed Image Text:### Venn Diagrams: Understanding Overlapping Data Sets #### Diagram Explanation In this image, there are two Venn diagrams, labeled C and D. Both diagrams illustrate the intersection of three data sets represented by the circles. Each circle contains numbers that represent unique values or counts within that set or the overlapping areas of multiple sets. **Diagram C:** - **Circles Labeled:** - **U.S. News** - **World** - **These Times** - **Numbers within the circles:** - **U.S. News:** 11 (exclusive to U.S. News) - **World:** 11 (exclusive to World) - **These Times:** 13 (exclusive to These Times) - Intersection of U.S. News and World: 3 - Intersection of U.S. News and These Times: 24 - Intersection of World and These Times: 18 **Diagram D:** - **Circles Labeled:** - **U.S. News** - **World** - **Numbers within the circles:** - **U.S. News:** 24 (exclusive to U.S. News) - **World:** 18 (exclusive to World) - Intersection of U.S. News and World: 15 ### Usage Venn diagrams like these are used typically for displaying relationships between different data sets to identify shared and unique values. They are especially useful in statistics, research, and problem-solving across various fields to analyze how different categories overlap or are exclusive.
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