Compaing measures of center and variation The ages of the members of four teams are summarized below. Answer the questions about them. Team A: The range of ages is 26 and the mean age is 34 . Team B: The range of ages is 24 and the mean age is 37 . Team C. The range of ages is 31 and the mean age is 42 . Team D: The range of ages is 29 and the mean age is 40 . (a) Based on the information above, which team has the youngest members on average? Team A Team B Team C Team D (b) Based on the information above, which team's ages have the least variability? Team A Team B Team C Team D

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1. **Determine the team with the youngest members on average:**

- The mean ages are given as:
     - $$ \text{Team A: } 34 $$
     - $$ \text{Team B: } 37 $$
     - $$ \text{Team C: } 42 $$
     - $$ \text{Team D: } 40 $$
     
   - Since the smallest mean age indicates the youngest members on average, we have:
     
     $$
     34 < 37 < 40 < 42
     $$
     
   - **Answer (a):** Team A

2. **Determine which team has the least variability based on age:**

- The range of ages is used as a measure of variability. The ranges are:
     - $$ \text{Team A: } 26 $$
     - $$ \text{Team B: } 24 $$
     - $$ \text{Team C: } 31 $$
     - $$ \text{Team D: } 29 $$
     
   - The smallest range indicates the least variability. Here:
     
     $$
     24 \text{ (Team B) } < 26 < 29 < 31
     $$
     
   - **Answer (b):** Team B
**Answers:** (a) Team A has the youngest members on average. (b) Team B has the least variability in ages.

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