A department consisting of 5 employees has a mean monthly sales total of \12{}000. If a ne… — GRE General Test

A department consisting of $5$ employees has a mean monthly sales total of $\$12{}000$ . If a new employee with a monthly sales total of $\$18{}000$ joins the department, what is the new mean monthly sales total, in dollars, for the $6$ employees?

Answer: 13000 dollars

Answer

13000

To find the new mean, multiply the initial mean by the initial number of employees to get total sales:

5 \times 12{}000 = 60{}000

. Add the new employee's sales:

60{}000 + 18{}000 = 78{}000

. Finally, divide by the new total number of employees (

6

) to get

\frac{78{}000}{6} = 13{}000

Step-by-Step Solution

Find the total sales of the original 5 employees.

5 \times 12{}000 = 60{}000

The sum of values is equal to the mean multiplied by the number of observations.

Calculate the total sales for all 6 employees.

60{}000 + 18{}000 = 78{}000

Add the new employee's sales to the initial total.

Calculate the new mean sales per employee.

\frac{78{}000}{6} = 13{}000

Divide the combined total sales by the new total number of employees (6).

Key Concept

Mean of Combined Data Sets

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