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Answer :
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.
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Final answer:
To find the weight of the fifth computer station, subtract the sum of the weights of the four given stations from the mean weight.
Explanation:
The mean weight of five complete computer stations is 167.2 pounds. To find the weight of the fifth computer station, we can calculate the sum of the weights of all five stations and then subtract the sum of the weights of the four given stations. The weight of the fifth station can be found by subtracting the sum of the weights of the four given stations from the mean weight.
Sum of the weights of all five stations = 5 * 167.2 pounds
Sum of the weights of the four given stations = 158.4 pounds + 162.8 pounds + 165 pounds + 178.2 pounds
Weight of the fifth station = Sum of the weights of all five stations - Sum of the weights of the four given stations
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