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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 47 . Team B: The range of ages is 22 and the mean age is 40 . Team C: The range of ages is 27 and the mean age is 43 . Team D: The range of ages is 18 and the mean age is 49 . (a) Based on the information above, which team has the youngest members on average? O Team B (b) Based on the information above, which team's ages have the most variability? O Team A Team B

Ask by Ingram Todd. in the United States
Mar 08,2025

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Answer

**Team B has the youngest members on average. Team C has the most variability in ages.**

Solution

**Step 1. Analyze the mean age for each team.** - For Team A, the mean age is \(47\). - For Team B, the mean age is \(40\). - For Team C, the mean age is \(43\). - For Team D, the mean age is \(49\). The youngest members on average belong to the team with the smallest mean age. Since \(40\) is the smallest value, the answer to part (a) is **Team B**. **Step 2. Analyze the variability of ages based on the range.** - For Team A, the range of ages is \(26\). - For Team B, the range of ages is \(22\). - For Team C, the range of ages is \(27\). - For Team D, the range of ages is \(18\). The most variability in ages corresponds to the largest range. Since \(27\) (Team C) is the largest range, the answer to part (b) is **Team C**.

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The youngest members on average belong to Team B, which has a mean age of 40. This indicates that, despite their range being relatively narrow at 22 years, the average age of Team B's members is lower compared to the others. When it comes to variability, Team A takes the cake with a range of 26 years. A higher range suggests a greater disparity between the youngest and oldest members, indicating more variability in their ages compared to Team B's narrower age spread.

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