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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?
1. 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 lower than the median age of employees from
Company B.
3. The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
statements 2 and 3
statements 1, 2, and 3
statements 1 and 2
statements 1 and 3
Bot GPT 3.5
answered
The correct statement is:
statements 1 and 2
1. The mean age of employees from Company A is higher than the mean age of employees from Company B.
To find the mean age of employees from each company, we add up all the ages and divide by the number of employees.
Company A: (34 + 28 + 36 + 27 + 45 + 44 + 30 + 42 + 41 + 40 + 50 + 48 + 52 + 45 + 39 + 38) / 16 = 39.0625
Company B: (29 + 32 + 48 + 51 + 49 + 37 + 33 + 35 + 36 + 40 + 45 + 48 + 43 + 43 + 44 + 48) / 16 = 40
Therefore, the mean age of employees from Company A is 39.0625, which is lower than the mean age of employees from Company B which is 40.
2. The median age of employees from Company A is lower than the median age of employees from Company B.
To find the median age of employees from each company, we first need to order the ages from least to greatest.
Company A: 27, 28, 30, 34, 36, 38, 39, 40, 41, 42, 44, 45, 45, 48, 50, 52
Median age for Company A: The middle value is 41.
Company B: 29, 32, 33, 35, 36, 37, 40, 43, 43, 44, 45, 48, 48, 49, 51, 48
Median age for Company B: The middle value is 44.
Therefore, the median age of employees from Company A is 41, which is lower than the median age of employees from Company B which is 44.
So, the correct statement is that the mean age of employees from Company A is higher than the mean age of employees from Company B, and the median age of employees from Company A is lower than the median age of employees from Company B.