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 3
statements 1 and 3

statements 1 and 2
statements 1 and 2

statements 2 and 3
statements 2 and 3

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

statements 1 and 3

Explanation: To determine the correct statement, we need to calculate the mean, median, and range for both sets of data.

For Company A:
Mean = (34+28+36+27+45+44+30+42+41+40+50+48+52+45+39+38) / 16 = 39.125
Median = Middle value = 40
Range = 52 - 27 = 25

For Company B:
Mean = (29+32+48+51+49+37+33+35+36+40+45+48+43+43+44+48) / 16 = 41.1875
Median = (37+40) / 2 = 38.5
Range = 51 - 29 = 22

Therefore, the mean age of employees from Company A is 39.125, which is lower than the mean age of employees from Company B (41.1875), so statement 1 is false.

The median age of employees from Company A is 40, which is higher than the median age of employees from Company B (38.5), so statement 2 is false.

The range of ages of employees from Company A is 25, which is higher than the range of ages of employees from Company B (22), so statement 3 is true.

Therefore, the correct answer is that statement 1 and 3 are true.