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.
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
statement 1
Thats not one of the answers.
No, which one of these are correct:
statements 1, 2, and 3
statements 1 and 3
statements 2 and 3
statements 1 and 2
My apologies for the confusion.
The correct answer is:
Statement 1 - The mean age of employees from Company A is higher than the mean age of employees from Company B.
Did you mean statment 1 AND statment 2?
Show your reasoning.
To calculate the mean age, we need to add up all the ages and divide by the total number of employees in each company.
For Company A:
Mean age = (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 41.875
For Company B:
Mean age = (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 41.25
Hence, the mean age of employees from Company A is higher than the mean age of employees from Company B.
Now calculate the medaian, and see if statment 2 is true.
To calculate the median age, we need to list all the ages in each company in order and find the middle value.
For Company A:
Arranging the ages in ascending order: 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
For Company B:
Arranging the ages in ascending order: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 49, 51, 50
The median is the middle value which is: 44
Hence, statement 2 is false. The median age of employees from Company A is higher than the median age of employees from Company B.