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 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 2
statements 1 and 2
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The correct statement is:
Statements 1 and 3
Explanation:
1. Calculating the mean age for each company:
Company A: (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38) / 16 = 39.06
Company B: (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 40.06
The mean age of employees from Company A (39.06) is lower than the mean age of employees from Company B (40.06).
2. Calculating the median age for each company:
Company A: Median age = 40
Company B: Median age = 43
The median age of employees from Company A (40) is lower than the median age of employees from Company B (43).
3. Calculating the range of ages for each company:
Company A: 52-27 = 25
Company B: 51-29 = 22
The range of ages of employees from Company A (25) is higher than the range of ages of employees from Company B (22).
Therefore, the correct statement is statements 1 and 3.