Question

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 2 and 3
statements 2 and 3

statements 1, 2, and 3
statements 1, 2, and 3

statements 1 and 3
statements 1 and 3

statements 1 and 2

Answer 1

Compute each summary:

Company A (sorted): 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52
- Mean = 639/16 = 39.94
- Median = (40 + 41)/2 = 40.5
- Range = 52 − 27 = 25

Company B (sorted): 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 48, 49, 51
- Mean = 661/16 = 41.31
- Median = (43 + 43)/2 = 43
- Range = 51 − 29 = 22

Therefore statements 2 and 3 are true (statement 1 is false).