The final score of a figure skating competition is determined by finding the average of six judges' scores. Write a formula for
2 answers:
Answer:
a)
b)
Detailed explanation:
a) The judges provided a total of six scores:
We need to calculate the average of these scores:
To determine the fourth judge's score, we can rearrange the formula to yield
b) The computed average score = 5.7
Judge: 1 2 3 4 5 6
Score: 5.6 5.8 5.6 x 5.9 5.4
Substituting the values into the equation provides us with:
x = 5.9
This indicates the score recorded by the fourth judge is 5.9
The average A is calculated by adding the scores given by each judge and dividing by the total number of judges.
Hence
To determine the score given by judge 4, we need the final average score (A) and the scores from the other five judges.
The overall score A comes to 5.7
The scores from judges 1, 2, 3, 5, and 6 are 5.6, 5.8, 5.6, 5.9, and 5.4 respectively.
With this information, we can compute x4:
Thus, the fourth judge's score was
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