The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
1. The mean age of employees from Company A is higher than the mean age of employees from Company B.
2. The median age of employees from Company A is lower than the median age of employees from Company B.
3. The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
• statements 1 and 3
• statements 1 and 2
• statements 2 and 3
• statements 1, 2, and 3
To determine which statements are true, we can calculate the relevant statistics for both companies.
Company A:
Mean age: (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 40.625
Median age: Arrange the ages in ascending order: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52. The median age is the middle age, which is 41.
Range: The range is the difference between the maximum and minimum values. In this case, the range is 52 - 27 = 25.
Company B:
Mean age: (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40.5
Median age: Arrange the ages in ascending order: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 49, 51. The median age is the middle age, which is 43.
Range: The range is the difference between the maximum and minimum values. In this case, the range is 51 - 29 = 22.
Based on the calculations, the answers are as follows:
1. The mean age of employees from Company A is higher than the mean age of employees from Company B. - False
2. The median age of employees from Company A is lower than the median age of employees from Company B. - False
3. The range of ages of employees from Company A is higher than the range of ages of employees from Company B. - True
Therefore, the correct answer is:
• statements 2 and 3