Question

salaries for the research and development department are given as $48,345; $27,957; $42,565; $19,522; $32,421; and $37,598. find the mean, the median, and the mode of the salaries.
a. the mean of the salaries is $ (round to the nearest dollar as needed.)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here $n = 7$, and $x_1=48345$, $x_2 = 27957$, $x_3=42565$, $x_4 = 19522$, $x_5=32421$, $x_6=37598$.

Step2: Calculate the sum

$\sum_{i = 1}^{7}x_{i}=48345 + 27957+42565+19522+32421+37598$
$=48345+27957+42565+19522+32421+37598=208408$.

Step3: Calculate the mean

$\bar{x}=\frac{208408}{7}\approx29772.57\approx29773$.

Answer:

$29773$