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 respectively. What is the weight of the fifth computer station?
I'm not sure how to attempt this problem?
total weight = 167.2 * 5 = 836
add the four
that weight + the last one = 836
5 times the average...minus the four individual weights
To find the weight of the fifth computer station, you can use the formula for the mean (average) weight and solve for the missing value. The formula for the mean is:
Mean = (Sum of all weights) / (Number of weights)
In this case, we know that the mean weight of the five computer stations is 167.2 pounds. We also know the weights of four of the computer stations: 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.
To find the sum of all weights, you can add up the weights of the four known computer stations:
Sum of weights = 158.4 + 162.8 + 165 + 178.2
Once you have the sum of all weights, you can use the mean formula to solve for the weight of the fifth computer station:
167.2 = (Sum of all weights) / 5
Now, you can solve for the sum of all weights:
167.2 * 5 = Sum of all weights
Finally, subtract the sum of the four known weights from the sum of all weights to find the weight of the fifth computer station:
Sum of all weights - (Sum of weights of four known computer stations) = Weight of the fifth computer station
To find the weight of the fifth computer station, you can use the concept of finding the average or mean weight.
The mean weight of the five computer stations is given as 167.2 pounds.
To find the total weight of the five computer stations, you can multiply the mean weight by the number of computer stations. In this case, it is 167.2 pounds multiplied by 5, which equals 836 pounds.
Next, you need to subtract the weights of the four computer stations that are given.
158.4 pounds + 162.8 pounds + 165 pounds + 178.2 pounds = 664.4 pounds
Now, subtracting the total weight of the four given computer stations from the total weight of all five computer stations will give you the weight of the fifth computer station.
836 pounds - 664.4 pounds = 171.6 pounds
Therefore, the weight of the fifth computer station is 171.6 pounds.