On an examination given to 8,800 students, Hal's score of 405 was higher than the scores of 3,852 of the students who took the examination. What is the percentile for Hal's score? (Round your answer to the nearest percentile.
Question
On an examination given to 8,800 students, Hal's score of 405 was higher than the scores of 3,852 of the students who took the examination. What is the percentile for Hal's score? (Round your answer to the nearest percentile.
Solution
To calculate the percentile for Hal's score, you need to follow these steps:
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First, you need to determine the number of students who scored less than Hal. According to the problem, this number is 3,852.
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Next, you need to divide this number by the total number of students who took the exam, which is 8,800. So, 3,852 ÷ 8,800 = 0.4375.
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To convert this decimal to a percentile, you multiply by 100. So, 0.4375 x 100 = 43.75.
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Since the problem asks you to round your answer to the nearest percentile, you would round 43.75 to 44.
So, Hal's score is in the 44th percentile.
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