The annual salary for a computer technician at Company A varies from $41,000 to $63,000, with a mean of $58,000. At Company B, the annual salary for the same position varies from $45,000 to $62,000, with a mean of $56,000. Which statement is TRUE when comparing the salaries of computer technicians for the two companies?
Responses
A Salaries for computer technicians at Company A vary more than salaries at Company B.Salaries for computer technicians at Company A vary more than salaries at Company B.
B The highest paid computer technician works at Company B.The highest paid computer technician works at Company B.
C On average, a computer technician at Company B earns more than at Company A.On average, a computer technician at Company B earns more than at Company A.
D Every computer technician at Company B earns more than every computer technician at Company A.
The mean at B is 56 k
the mean at A is 58 k
Therefore on average B does NOT make more than A.
HOWEVER the RANGE for A , 22 k, is greater than the RANGE for B , 17 k
Therefore choice A is it.
Let''s work on this "range" concept :)
You are correct. The statement "On average, a computer technician at Company B earns more than at Company A" is incorrect. The mean salary at Company A is actually higher than the mean salary at Company B. The correct statement would be that the range of salaries for computer technicians at Company A is greater than the range of salaries at Company B.
The range is a measure of how spread out or varied a set of data is. It is calculated by subtracting the minimum value from the maximum value. In this case, the range for Company A is $22,000 ($63,000 - $41,000) and the range for Company B is $17,000 ($62,000 - $45,000). This means that the salaries for computer technicians at Company A vary more widely than the salaries at Company B. Therefore, statement A is true.
To compare the salaries of computer technicians at Company A and Company B, we can analyze the information provided.
For Company A:
- The salary range is from $41,000 to $63,000.
- The mean (average) salary is $58,000.
For Company B:
- The salary range is from $45,000 to $62,000.
- The mean (average) salary is $56,000.
Now let's go through the provided statements to determine which one is true:
A. Salaries for computer technicians at Company A vary more than salaries at Company B.
To assess this statement, we need to compare the salary ranges. In this case, the range for Company A is wider ($41,000 to $63,000) compared to Company B ($45,000 to $62,000). Therefore, this statement is true.
B. The highest paid computer technician works at Company B.
Based on the salary ranges provided, it is not possible to determine which company has the highest paid computer technician. This statement is not necessarily true.
C. On average, a computer technician at Company B earns more than at Company A.
To assess this statement, we compare the mean (average) salaries. The mean salary at Company B is $56,000, while at Company A it is $58,000. Therefore, this statement is not true.
D. Every computer technician at Company B earns more than every computer technician at Company A.
There is no information provided about specific individuals' salaries, so we cannot determine whether every computer technician at Company B earns more than every computer technician at Company A. This statement is not necessarily true.
Based on the analysis, the true statement is:
A. Salaries for computer technicians at Company A vary more than salaries at Company B.