Question

salaries for the research and development department are given as $48,345, $27,957, $42,591, $19,551, $32,421, and $37,582. find the mean, the median, and the mode of the salaries. a. the mean of the salaries is $34741. (round to the nearest dollar as needed.) b. the median is $□

Explanation:

Step1: Arrange salaries in ascending order

$19551, 27957, 32421, 37582, 42591, 48345$

Step2: Determine the number of data - points

There are $n = 6$ data - points.

Step3: Calculate the median

Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is $32421$ and the 4th value is $37582$. Median $=\frac{32421 + 37582}{2}=\frac{70003}{2}=35001.5\approx35002$

Answer:

$35002$