The ages of the members of four teams are summarized below. Answer the questions about them. Team A: The range of ages is 12 and the mean age is 37. Team B: The range of ages is 11 and the mean age is 38. Team C: The range of ages is 3 and the mean age is 36. Team D: The range of ages is 5 and the mean age is 33. (a) Based on the information above, which team's ages have the most variability? Team A Team B Team C Team D (b) Based on the information above, which team has the youngest members on average? Team A O Team B Team C Team D
The ages of the members of four teams are summarized below. Answer the questions about them. Team A: The range of ages is 12 and the mean age is 37. Team B: The range of ages is 11 and the mean age is 38. Team C: The range of ages is 3 and the mean age is 36. Team D: The range of ages is 5 and the mean age is 33. (a) Based on the information above, which team's ages have the most variability? Team A Team B Team C Team D (b) Based on the information above, which team has the youngest members on average? Team A O Team B Team C Team D
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:# Analysis of Team Age Data
The ages of the members of four teams are summarized below. Answer the questions about them.
- **Team A**: The range of ages is 12 and the mean age is 37.
- **Team B**: The range of ages is 11 and the mean age is 38.
- **Team C**: The range of ages is 3 and the mean age is 36.
- **Team D**: The range of ages is 5 and the mean age is 33.
### Questions
#### (a) Based on the information above, which team's ages have the most variability?
- ⬤ Team A
- ⭘ Team B
- ⭘ Team C
- ⭘ Team D
#### (b) Based on the information above, which team has the youngest members on average?
- ⭘ Team A
- ⭘ Team B
- ⭘ Team C
- ⭘ Team D
---
### Explanation
- **Variability in Ages**: Variability can be assessed by looking at the range of ages within each team. The range represents the difference between the oldest and youngest members. A larger range indicates more variability.
- **Finding the Youngest Average Age**: The average (mean) age gives a central value around which ages are distributed. The team with the lowest mean age has the youngest average members.
### Answer Analysis
- **Most Variability**:
- Team A has the highest range of ages (12), indicating the most variability.
- **Youngest Members on Average**:
- Team D has the lowest mean age (33), indicating the youngest members on average.
---
By analyzing and understanding these data points, students can practice interpreting statistical ranges and means in real-world contexts.
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