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Here are the exam scores from Sister Alvarado's class. Please find the 80th percentile.Student Quiz Score1 902 703 604 705 506 607 708 909 6010 3011 2012 7013 5014 7015 80Group of answer choices85068060.772

Question

Here are the exam scores from Sister Alvarado's class. Please find the 80th percentile.Student Quiz Score1 902 703 604 705 506 607 708 909 6010 3011 2012 7013 5014 7015 80Group of answer choices85068060.772

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Solution 1

To find the 80th percentile of Sister Alvarado's class quiz scores, follow these steps:

  1. First, arrange the scores in ascending order: 30, 50, 50, 60, 60, 60, 70, 70, 70, 70, 80, 90, 90.

  2. Next, find the rank of the 80th percentile using the formula: Rank = Percentile/100 * (Number of data points + 1). In this case, the rank would be 0.80 * (15 + 1) = 12.8.

  3. Since the rank is not a whole number, we need to interpolate to find the 80th percentile. The 12th score in the ordered list is 80 and the 13th score is 90.

  4. Interpolate using the formula: Lower score + (Rank - lower rank) * (Higher score - lower score). In this case, the 80th percentile would be 80 + (12.8 - 12) * (90 - 80) = 80 + 0.8 * 10 = 88.

So, the 80th percentile of Sister Alvarado's class quiz scores is 88.

This problem has been solved

Solution 2

To find the 80th percentile of Sister Alvarado's class quiz scores, follow these steps:

  1. First, arrange the scores in ascending order: 30, 50, 50, 60, 60, 60, 70, 70, 70, 70, 80, 90, 90.

  2. Next, find the rank of the 80th percentile. The rank can be calculated using the formula: Rank = Percentile/100 * (Number of data points + 1). In this case, the rank would be: 80/100 * (15 + 1) = 12.8.

  3. Since the rank is not a whole number, we need to interpolate to find the 80th percentile. The 12th score in the ordered list is 80 and the 13th score is 90.

  4. Interpolate using the formula: Lower score + (Rank - lower rank) * (Higher score - lower score). In this case, it would be: 80 + (12.8 - 12) * (90 - 80) = 80 + 0.8 * 10 = 88.

So, the 80th percentile of Sister Alvarado's class quiz scores is 88.

This problem has been solved

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