None of the above statements is true.
- To calculate the mean age of Company A: sum all the ages and divide by the number of employees: (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38) / 16 = 40.25
- To calculate the mean age of Company B: sum all the ages and divide by the number of employees: (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 41.5
Therefore, the mean age of employees from Company B is higher than the mean age of employees from Company A.
- To find the median age of Company A, we need to arrange the ages from lowest to highest: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52. The median is the middle value, which is 42.5 (average of 42 and 44).
- To find the median age of Company B, we also need to arrange the ages from lowest to highest: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 48, 49, 51. The median is also 42.5 (average of 43 and 44).
Therefore, the median age of employees from Company A is the same as the median age of employees from Company B.
- The range of ages of employees in Company A is the difference between the highest and lowest ages: 52 - 27 = 25.
- The range of ages of employees in Company B is the difference between the highest and lowest ages: 51 - 29 = 22.
Therefore, the range of ages of employees in Company A is higher than the range of ages of employees in Company B.
So, none of the given statements is true.
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 answer