Question

a random sample of print - o - matic printing companys employee salaries (in dollars) are recorded in the table below.

a. for the data shown above, find the following.
round the answer in the first blank to 2 decimal places.
put the correct units in the second blank.
find the mean:
find the median:
find the mode:
b. remove the high ceo salary of 272500 dollars from the data.
recompute the following.
round the answer in the first blank to 2 decimal places.
put the correct units in the second blank

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$.
Here, $n = 10$, and $\sum_{i=1}^{10}x_{i}=74235 + 272500+100702+64553+109739+90090+98837+76029+100702+57380=1044767$.
So, $\bar{x}=\frac{1044767}{10}=104476.70$.

Step2: Find the median

First, sort the data: $57380,64553,74235,76029,90090,98837,100702,100702,109739,272500$.
Since $n = 10$ (even), the median $M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}=\frac{90090 + 98837}{2}=\frac{188927}{2}=94463.50$.

Step3: Determine the mode

The mode is the value that appears most frequently. In the data set, $100702$ appears twice, and other values appear only once.

Answer:

Mean: $104476.70$ dollars
Median: $94463.50$ dollars
Mode: $100702$ dollars