Question

find the mean for the given sample data.
a company had 15 employees whose salaries are shown below.
find the mean salary.
(1 point)
$14,740.00
$17,440.00
$22,110.00
$11,055.00

Explanation:

Step1: Sum up all the salaries

$$\begin{align*} &7500 + 15500+26400+10000+16000+17800+7800+8900+15200+20100+11200+18100+23000+14000+9600\\ =&(7500 + 15500)+26400+(10000+16000)+17800+(7800+8900)+15200+(20100+11200)+18100+(23000+14000)+9600\\ =&23000+26400 + 26000+17800+16700+15200+31300+18100+37000+9600\\ =&(23000+26400)+(26000+17800)+(16700+15200)+(31300+18100)+(37000+9600)\\ =&49400+43800+31900+49400+46600\\ =&(49400+43800)+(31900+49400)+46600\\ =&93200+81300+46600\\ =&(93200+81300)+46600\\ =&174500+46600\\ =&221100 \end{align*}$$

Step2: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 15$ (the number of employees) and $\sum_{i=1}^{n}x_{i}=221100$ (the sum of salaries).

$\bar{x}=\frac{221100}{15}=14740$

Answer:

$\$14,740.00$