Statistics Unit Test

Question

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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 1 and 2
statements 1 and 2

statements 1 and 3
statements 1 and 3

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

statements 2 and 3

Answer 1

The correct statement is: statements 1 and 3

Explanation:
1. The mean age of employees from Company A is 42. However, the mean age of employees from Company B is 40.33. Therefore, 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 41.5. On the other hand, the median age of employees from Company B is 43.5. Therefore, 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 from 27 to 52, which is a range of 25. The range of ages of employees from Company B is from 29 to 51, which is a range of 22. Therefore, the range of ages of employees from Company A is higher than the range of ages of employees from Company B.