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

Answer 1

To find the salary closest to the industry average, we first need to calculate the average salary based on the provided data.

The salaries listed are:
- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000

First, we sum these salaries:

\[
63,000 + 63,000 + 52,000 + 52,000 + 39,000 + 39,000 + 48,000 = 63,000 + 63,000 = 126,000 \\
126,000 + 52,000 = 178,000 \\
178,000 + 52,000 = 230,000 \\
230,000 + 39,000 = 269,000 \\
269,000 + 39,000 = 308,000 \\
308,000 + 48,000 = 356,000
\]

Now, we divide the total by the number of salaries:

\[
\text{Average} = \frac{356,000}{7} \approx 50,857.14
\]

Next, we determine which of the listed salaries is closest to the calculated average of approximately $50,857.14. The given salaries are:

- $63,000
- $63,000
- $52,000
- $52,000
- $39,000
- $39,000
- $48,000

Now, we compare them to the average:
- |$63,000 - $50,857.14| = $12,142.86
- |$52,000 - $50,857.14| = $1,142.86
- |$39,000 - $50,857.14| = $11,857.14
- |$48,000 - $50,857.14| = $2,857.14

The salary closest to the average is **$52,000**, as it has the smallest difference from the average salary.