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.
(1 point)
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 2 and 3
statements 2 and 3
statements 1 and 3
statements 1 and 3
statements 1 and 2
statements 1 and 2
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The correct statement is: statements 1 and 2
Explanation:
1. The mean age of employees from Company A is (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38) / 16 = 39.88
The mean age of employees from Company B is (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 41.38
Since 41.38 > 39.88, 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 40
The median age of employees from Company B is 44
Since 44 > 40, the median age of employees from Company B is higher than the median age of employees from Company A.
3. The range of ages of employees from Company A is 52 - 27 = 25
The range of ages of employees from Company B is 51 - 29 = 22
Since 25 > 22, the range of ages of employees from Company A is higher than the range of ages of employees from Company B.