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, 2, and 3
• statements 2 and 3
• statements 1 and 2
• statements 1 and 3
• statements 1, 2, and 3
To determine which statement is true:
1. Calculate 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 = 39.13
Company B: (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 40.81
The mean age of employees from Company A (39.13) is indeed lower than the mean age of employees from Company B (40.81).
2. Calculate the median age for each company:
Company A: Median age is the average of the two middle ages, which is (40 + 41) / 2 = 40.5
Company B: Median age is the average of the two middle ages, which is (40 + 43) / 2 = 41.5
The median age of employees from Company A (40.5) is indeed lower than the median age of employees from Company B (41.5).
3. Calculate 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 is higher (25) than the range of ages of employees from Company B (22).
Therefore, all three statements are true.