Question
An 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
(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 will first calculate the average of the provided salaries.
The salaries given are:
- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000
Next, we will sum these salaries:
\[
63,000 + 63,000 + 52,000 + 52,000 + 39,000 + 39,000 + 48,000 = 396,000
\]
Now, we will count the number of salaries:
There are 7 salaries in total.
To find the average, we divide the total sum of the salaries by the number of salaries:
\[
\text{Average} = \frac{396,000}{7} \approx 56,571.43
\]
Now, we compare the given salaries to the calculated average of approximately $56,571.43:
- $63,000 (Difference = $6,428.57)
- $63,000 (Difference = $6,428.57)
- $52,000 (Difference = $4,571.43)
- $52,000 (Difference = $4,571.43)
- $39,000 (Difference = $17,571.43)
- $39,000 (Difference = $17,571.43)
- $48,000 (Difference = $8,571.43)
The salary closest to the average ($56,571.43) is **$52,000** (with a difference of $4,571.43).
Therefore, the closest salary to the industry average is **$52,000**.
The salaries given are:
- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000
Next, we will sum these salaries:
\[
63,000 + 63,000 + 52,000 + 52,000 + 39,000 + 39,000 + 48,000 = 396,000
\]
Now, we will count the number of salaries:
There are 7 salaries in total.
To find the average, we divide the total sum of the salaries by the number of salaries:
\[
\text{Average} = \frac{396,000}{7} \approx 56,571.43
\]
Now, we compare the given salaries to the calculated average of approximately $56,571.43:
- $63,000 (Difference = $6,428.57)
- $63,000 (Difference = $6,428.57)
- $52,000 (Difference = $4,571.43)
- $52,000 (Difference = $4,571.43)
- $39,000 (Difference = $17,571.43)
- $39,000 (Difference = $17,571.43)
- $48,000 (Difference = $8,571.43)
The salary closest to the average ($56,571.43) is **$52,000** (with a difference of $4,571.43).
Therefore, the closest salary to the industry average is **$52,000**.