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?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
The correct response is: statements 1 and 3
1. The mean age of employees from Company A is higher than the mean age of employees from Company B:
For Company A: Mean = (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38) / 16 = 40.25
For Company B: Mean = (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 41.06
Therefore, the mean age of employees from Company B is higher than the mean age of employees from Company A.
2. The median age of employees from Company A is lower than the median age of employees from Company B:
For Company A: Median = (39 + 40) / 2 = 39.5
For Company B: Median = (40 + 43) / 2 = 41.5
Therefore, 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:
For Company A: Range = 52 - 27 = 25
For Company B: Range = 51 - 29 = 22
Therefore, the range of ages of employees from Company A is higher than the range of ages of employees from Company B.