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 answer

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.