Question

Wionna needs to average 5.8 from 14 judges. The mean score from 13 judges is 5.9. What is the lowest score she can receive from the fourteenth judge and still win? Plz help me on this I don't get it! XC

Answer 1

(5.9*13+s)/(13+1)
`\geq`5.8

(76.7+s)/14
`\geq`5.8

76.7+s
`\geq`81.2

s
`\geq`4.5

Answer 2

Let the score from the 14th judge be x.

We know that the 13 judges gave her an average score of 5.9. Therefore, her total was 13 * 5.9, which comes to 76.7. This is the sum of her points from the 13 judges.

Now the 14th judge needs to award her so many points for her average score to be 5.8. Remember, the 14th score is an x.

Therefore, the formula winds down to:

5.8 = (76.7 + x)/14

Cross-multiply.

5.8 * 14 = 76.7 + x
81.2 - 76.7 = x
x = 4.5

Therefore, Winona needs a score of 4.5 to get an average of 5.8 to win the competition.