Question

the ages of the members of four teams are summarized below. answer the questions about them.
team a: the range of ages is 27 and the mean age is 44.
team b: the range of ages is 32 and the mean age is 43.
team c: the range of ages is 33 and the mean age is 52.
team d: the range of ages is 30 and the mean age is 48.
(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

Explanation:

Part (a)

To determine which team has the youngest members on average, we compare the mean ages of each team. The mean age represents the average age of the members.

• Team A: mean age is 27 (wait, no, wait the original text: Team A: The range of ages is 27 and the mean age is 44? Wait, no, let's recheck. Wait, the user's text: "Team A: The range of ages is 27 and the mean age is 44. Team B: The range of ages is 32 and the mean age is 43. Team C: The range of ages is 33 and the mean age is 52. Team D: The range of ages is 30 and the mean age is 48." Wait, so mean ages: Team A: 44, Team B:43, Team C:52, Team D:48. So the smallest mean age is Team B's 43? Wait no, wait Team A's mean is 44, Team B is 43, which is lower than A. Wait, wait, maybe I misread. Wait the problem says "which team has the youngest members on average" – average is mean. So we compare the mean ages:

Team A: 44

Team B: 43

Team C: 52

Team D: 48

So the lowest mean is Team B (43), so Team B has the youngest average. Wait, but wait, maybe the user made a typo? Wait no, let's check again. Wait the original problem: "Team A: The range of ages is 27 and the mean age is 44. Team B: The range of ages is 32 and the mean age is 43. Team C: The range of ages is 33 and the mean age is 52. Team D: The range of ages is 30 and the mean age is 48." So mean ages: 44 (A), 43 (B), 52 (C), 48 (D). So the smallest mean is 43 (Team B). So Team B has the youngest average.

To determine which team's ages have the least variability, we look at the range. The range is a measure of variability (it's the difference between the maximum and minimum values). A smaller range indicates less variability.

• Team A: range = 27

• Team B: range = 32

• Team C: range = 33

• Team D: range = 30

The smallest range is 27 (Team A), so Team A has the least variability.

Answer:

B. Team B

Part (b)