Consider a class of examination scores. $\{ 93,88,83,75,72,68,65,62,59,55 \}$ What is the percentile rank of a score of 65?
A) 65th percentile
B) 30th percentile
C) 40th percentile
D) 20th percentile
E) 70th percentile

Question

Quizplus · Accepted Answer

To determine the percentile rank of a score, we need to find the percentage of scores that are equal to or below the given score. In this case, there are 7 scores below 65 (59, 62, 65, 68, 72, 75, 83) out of a total of 10 scores. This means that 7/10 or 0.7 (in decimal form) of the scores are below 65. To convert to a percentile, we multiply by 100 to get 70%. However, since we are looking for the percentage of scores below 65, we need to subtract this from 100 to get the percentile rank of the score. Therefore, the percentile rank of a score of 65 is 100% - 70% = 30%, which corresponds to choice (B).

Consider a Class of Examination Scores {93,88,83,75,72,68,65,62,59,55}\{ 93,88,83,75,72,68,65,62,59,55 \}{93,88,83,75,72,68,65,62,59,55} What Is the Percentile Rank of a Score of 65

Consider a Class of Examination Scores $\{ 93,88,83,75,72,68,65,62,59,55 \}$ What Is the Percentile Rank of a Score of 65