To determine Leo's percentile based on his score of 480 in a mathematics test taken by 750 students, we follow these steps:
Percentiles indicate the percentage of scores that fall below a certain value. For example, being in the 80th percentile means that 80% of the scores are below your score.
To find the percentile rank of Leo's score, we can use the formula:
[ \text{Percentile} = \left( \frac{\text{Number of students below Leo's score}}{\text{Total number of students}} \right) \times 100 ]
Substituting the values we have:
[ \text{Percentile} = \left( \frac{615}{750} \right) \times 100 ]
[ \frac{615}{750} = 0.82 ]
[ 0.82 \times 100 = 82 ]
Leo's score of 480 places him in the 82nd percentile. This means Leo scored better than 82% of the other students who took the test.
Based on the calculations, the correct answer is:
C. 82nd percentile
This means that Leo's performance was notably higher than the majority of his peers on the mathematics test.