In a diving competition, Claudia needed a score of 52 or more to take first position. For her final dive she chose a dive with a degree of difficulty of 2.7. The scores she received from the judges were 7.0, 8.0, 7.5, 8.5, 7.5, 8.0 and 8.0

a) Remove the highest and lowest scores and calculate the average of the remaining five scores (add them up and then divide by 5).
b) Calculate the 'three-judge total' by multiplying this average by 3.
c) Calculate her final score by multiplying the 'three judge total' by the degree of difficulty. Did she do well enough to win?

1 answer

a) After removing the highest and lowest scores, the remaining scores are 7.0, 7.5, 7.5, 8.0, and 8.0.
Average = (7.0 + 7.5 + 7.5 + 8.0 + 8.0) / 5 = 38 / 5 = 7.6

b) Three-judge total = 7.6 x 3 = 22.8

c) Final score = 22.8 x 2.7 = 61.56

Claudia's final score is 61.56, which is enough to win as she needed a score of 52 or more.
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