1. The mean age of employees from Company A is higher than the mean age of employees from Company B. - True
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
Explanation:
1. To calculate the mean age for Company A: (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38)/16 = 40.875
To calculate the mean age for Company B: (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48)/16 = 41.8125
Therefore, the mean age of employees from Company A is 40.875 which is lower than the mean age of employees from Company B which is 41.8125.
2. To find the median age, we need to arrange the ages in ascending order and find the middle value.
For Company A: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52
The median age for Company A is (42+44)/2 = 43
For Company B: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 49, 51,
The median age for Company B is (43+44)/2 = 43
Therefore, the median age for employees from Company A and Company B is the same, which is 43.
3. The range is calculated by subtracting the lowest age from the highest age.
For Company A, the range is 52-27 = 25
For Company B, the range is 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.
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 answer