Question

the ages of the members of four teams are summarized below. answer the questions about them.
team a: the range of ages is 10 and the mean age is 42.
team b: the range of ages is 18 and the mean age is 38.
team c: the range of ages is 11 and the mean age is 43.
team d: the range of ages is 13 and the mean age is 36.
(a) based on the information above, which teams ages have the most variability?
team a team b team c team d
(b) based on the information above, which team has the youngest members on average?
team a team b team c team d

Explanation:

(a)

Step1: Recall the concept of range

Range measures variability. Larger range means more variability.

Step2: Compare the ranges

Team A: \(10\), Team B: \(18\), Team C: \(11\), Team D: \(13\). Since \(18>13 > 11>10\)

(b)

Step1: Recall the concept of mean

Mean represents the average. Smaller mean means younger on average.

Step2: Compare the means

Team A: \(42\), Team B: \(38\), Team C: \(43\), Team D: \(36\). Since \(36<38 < 42<43\)

Answer:

(a) B. Team B
(b) D. Team D