SINGING In a singing competition that involved 50 contestants, Reina’s score ranked higher than 40 of the contestants. In what percentile did Reina score?
Question
SINGING
In a singing competition that involved 50 contestants, Reina’s score ranked higher than 40 of the contestants. In what percentile did Reina score?
Solution
To determine the percentile in which Reina scored, follow these steps:
- Identify the number of contestants who scored lower than Reina. According to the information, Reina’s score ranked higher than 40 contestants.
- Calculate the number of contestants who scored lower than Reina: 40.
- Determine the total number of contestants: 50.
- Use the percentile formula:
- Substitute the values into the formula:
- Simplify the fraction:
- Multiply by 100 to convert to a percentage:
Therefore, Reina scored in the 80th percentile.
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