The ages of the members of four teams are summarized below. Answer the questions about them.
Team A: The range of ages is
15
and the mean age is
57
.
Team B: The range of ages is
13
and the mean age is
48
.
Team C: The range of ages is
18
and the mean age is
51
.
Team D: The range of ages is
10
and the mean age is
49
.
(a) Based on the information above, which team has the youngest members on average?
(b) Based on the information above, which team's ages have the most variability?
(a) Based on the information above, Team D has the youngest members on average with a mean age of 49.
(b) Based on the information above, Team A has the most variability in ages with a range of 15.
(a) To determine which team has the youngest members on average, we compare the mean ages of each team.
Team A: Mean age = 57
Team B: Mean age = 48
Team C: Mean age = 51
Team D: Mean age = 49
From the given information, we can see that Team B has the youngest members on average, as they have the lowest mean age of 48.
(b) To determine which team's ages have the most variability, we compare the ranges of each team.
Team A: Range of ages = 15
Team B: Range of ages = 13
Team C: Range of ages = 18
Team D: Range of ages = 10
From the given information, we can see that Team C has the most variability in ages, as they have the highest range of ages with 18.