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)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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# 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.
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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