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Here are the exam scores from Sister Alvarado's class. Please find the 80th percentile. Student Quiz Score 1 90 2 70 3 60 4 70 5 50 6 60 7 70 8 90 9 60 10 30 11 20 12 70 13 50 14 70 15 80

Question

Here are the exam scores from Sister Alvarado's class. Please find the 80th percentile. Student Quiz Score 1 90 2 70 3 60 4 70 5 50 6 60 7 70 8 90 9 60 10 30 11 20 12 70 13 50 14 70 15 80

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Solution

Sure, here are the steps to find the 80th percentile of Sister Alvarado's class exam scores:

  1. First, we need to arrange the scores in ascending order: 20, 30, 50, 50, 60, 60, 60, 70, 70, 70, 70, 70, 80, 90, 90.

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

  3. Since the rank is not a whole number, we need to interpolate between the 12th and 13th scores. The 12th score is 70 and the 13th score is 80.

  4. The 80th percentile score can be calculated as follows: 70 + 0.8 * (80 - 70) = 78.

So, the 80th percentile of Sister Alvarado's class exam scores is 78.

This problem has been solved

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