Question

the ages of the members of four teams are summarized below. answer the questions about them. team a: the range of ages is 23 and the mean age is 40. team b: the range of ages is 20 and the mean age is 40. team c: the range of ages is 22 and the mean age is 44. team d: the range of ages is 18 and the mean age is 42. (a) based on the information above, which team has the oldest members on average? ○ team a ○ team b ○ team c ○ team d (b) based on the information above, which team’s ages have the most variability? ○ team a ○ team b ○ team c ○ team d

Explanation:

Part (a)

Step1: Recall the meaning of mean

The mean age represents the average age of the team members. We need to compare the mean ages of all four teams.

Step2: List the mean ages

• Team A: Mean = 40
• Team B: Mean = 40
• Team C: Mean = 44
• Team D: Mean = 42

Step3: Compare the mean ages

Among 40, 40, 44, and 42, 44 is the largest, which corresponds to Team C.

Step1: Recall the meaning of range

The range of a set of data is the difference between the maximum and minimum values, and it measures the variability (spread) of the data. A larger range indicates more variability.

Step2: List the ranges

• Team A: Range = 23
• Team B: Range = 20
• Team C: Range = 22
• Team D: Range = 18

Step3: Compare the ranges

Among 23, 20, 22, and 18, 23 is the largest, which corresponds to Team A.

Answer:

Team C

Part (b)