Pregunta
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
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
Ask by Lindsey Maxwell. in the United States
Mar 21,2025
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Answers:
(a) Team A has the youngest members on average.
(b) Team B has the least variability in ages.
(a) Team A has the youngest members on average.
(b) Team B has the least variability in ages.
Solución
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Determine the team with the youngest members on average:
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The mean ages are given as:
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Since the smallest mean age indicates the youngest members on average, we have:
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Answer (a): Team A
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Determine which team has the least variability based on age:
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The range of ages is used as a measure of variability. The ranges are:
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The smallest range indicates the least variability. Here:
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Answer (b): Team B
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Simplifique esta solución Beyond the Answer
The youngest members on average are in Team A, with a mean age of 34 years. While the other teams have higher average ages, Team A’s mean shows it’s the youngest group overall.
In terms of variability, Team B has the least range at 24, which indicates its ages are closer in value compared to other teams. A smaller range means the ages don’t fluctuate as much, making Team B the most consistent in ages among the groups.
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