The mean weight of five complete computer stations is 167.2 pounds.
The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.
We have to determine the weight of fifth computer station.
Let the weight of fifth computer station be 'x' pounds.
Mean is calculated by sum of all the observations divided by the total number of observations.
So, [tex] \frac{158.4+162.8+165+178.2+x}{5}=167.2 [/tex]
[tex] \frac{664.4+x}{5}=167.2 [/tex]
[tex] {664.4+x}=167.2 \times 5 [/tex]
[tex] {664.4+x}=836 [/tex]
x= 171.6 pounds
The weight of fifth computer station is 171.6 pounds.
