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Clayton and Timothy took different sections of Introduction to Economics. Each section had a different final exam. Timothy scored 83 out of 100 and had a percentile rank in his class of 72. Clayton scored 85 out of 100 but his percentile rank in his class was 70. Who performed better with respect to the rest of the students in the class, Clayton or Timothy? Explain your answer.

Respuesta :

Answer:

Since Timothy scored on the higher percentile, he performed better with respect to the rest of the students in the class.

Step-by-step explanation:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

So, when comparing scores, whoever scored on the higher percentile scored more than a higher percentage of students, so had the better relative score.

In this problem, we have that

Timothy scored on the 72nd percentile.

Clayton scored on the 70th percentile.

Since Timothy scored on the higher percentile, he performed better with respect to the rest of the students in the class.

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