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BAND Out of the 30 bands at the competition, Coastal High School’s band scored higher than 27 others. Find the percentile rank for Coastal High School’s band.  th percentile

Question

BAND Out of the 30 bands at the competition, Coastal High School’s band scored higher than 27 others. Find the percentile rank for Coastal High School’s band.  th percentile

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Solution

To find the percentile rank for Coastal High School’s band, follow these steps:

  1. Determine the number of bands that scored lower than Coastal High School’s band. According to the information, Coastal High School’s band scored higher than 27 other bands.

  2. Use the formula for percentile rank: Percentile Rank=(Number of values below the scoreTotal number of values)×100 \text{Percentile Rank} = \left( \frac{\text{Number of values below the score}}{\text{Total number of values}} \right) \times 100

  3. Substitute the given values into the formula: Percentile Rank=(2730)×100 \text{Percentile Rank} = \left( \frac{27}{30} \right) \times 100

  4. Calculate the fraction: 2730=0.9 \frac{27}{30} = 0.9

  5. Multiply by 100 to convert to a percentage: 0.9×100=90 0.9 \times 100 = 90

Therefore, the percentile rank for Coastal High School’s band is the 90th percentile.

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