A dancer’s score in a dance competition is the average of the scores awarded by eight judges on a scale ranging from 0 to 10. If the first five judges have awarded the dancer scores of 6.5, 7, 8, 7.5, and 6, respectively and the dancer did not receive a score lower than 5 from any of the other judges, then her final score in the competition will be:
A) Greater than 5
B) Greater than or equal to 5.5
C) Between 6 to 7
D) Greater than or equal to 6.25
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Answer: ( B)
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Answer:
Her final score in the competition will be: D) Greater than or equal to 6.25
Step-by-step explanation:
- The given scores by 1st five judges are 6.5, 7, 8, 7.5, and 6.
- Total of the score of five judges = 6.5 + 7 + 8 + 7.5 + 6
= 35
- Each of the rest three judges have given marks ≥ 5
- The minimum score given by the three judges = 15
- So total score will be = 35 + 15 = 50
- Final score must be ≥ 50.
- Score should be in the range of 0 t0 10. To express the score in that scale we have to take the average.
- Average = total score/ 8
- Average final score ≥ (50/8) = 6.25
- Average score must be equal to or greater than 6.25.
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