Question
n industry research group gathered salary information from four random graphic designers who work full-time in the field. Which salary is closest to the industry average? (1 point) Responses $63,000 $63,000 $52,000 $52,000 $39,000 $39,000 $48,000
Answers
GPT-4o mini
To determine which salary is closest to the industry average, we first calculate the average of the given salaries.
The salaries provided are:
- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000
Now, let's sum these salaries:
\[
63,000 + 63,000 + 52,000 + 52,000 + 39,000 + 39,000 + 48,000 = 396,000
\]
Next, we count the number of salaries:
There are 7 salaries.
Now, we calculate the average salary:
\[
\text{Average} = \frac{396,000}{7} \approx 56,571.43
\]
Now, we compare each salary to the average of approximately $56,571.43 to find out which is closest:
- $63,000 (difference: $63,000 - $56,571.43 = $6,428.57)
- $63,000 (difference: $6,428.57)
- $52,000 (difference: $56,571.43 - $52,000 = $4,571.43)
- $52,000 (difference: $4,571.43)
- $39,000 (difference: $56,571.43 - $39,000 = $17,571.43)
- $39,000 (difference: $17,571.43)
- $48,000 (difference: $56,571.43 - $48,000 = $8,571.43)
The closest salary to the industry average of $56,571.43 is $52,000, as the differences indicate it's only $4,571.43 away from the average.
Therefore, the salary that is closest to the industry average is **$52,000**.
The salaries provided are:
- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000
Now, let's sum these salaries:
\[
63,000 + 63,000 + 52,000 + 52,000 + 39,000 + 39,000 + 48,000 = 396,000
\]
Next, we count the number of salaries:
There are 7 salaries.
Now, we calculate the average salary:
\[
\text{Average} = \frac{396,000}{7} \approx 56,571.43
\]
Now, we compare each salary to the average of approximately $56,571.43 to find out which is closest:
- $63,000 (difference: $63,000 - $56,571.43 = $6,428.57)
- $63,000 (difference: $6,428.57)
- $52,000 (difference: $56,571.43 - $52,000 = $4,571.43)
- $52,000 (difference: $4,571.43)
- $39,000 (difference: $56,571.43 - $39,000 = $17,571.43)
- $39,000 (difference: $17,571.43)
- $48,000 (difference: $56,571.43 - $48,000 = $8,571.43)
The closest salary to the industry average of $56,571.43 is $52,000, as the differences indicate it's only $4,571.43 away from the average.
Therefore, the salary that is closest to the industry average is **$52,000**.