Consider a class of examination scores. $$\{ 91,85,82,76,72,66,64,62,61,55,45,36 \}$$ What is the percentile rank of a score of $82$ ? Round your answer to the nearest whole percentile, if necessary.
A) 25th percentile
B) 70th percentile
C) 26th percentile
D) 75th percentile
E) 74th percentile

Question

Quizplus · Accepted Answer

To find the percentile rank of a score, we need to calculate the percentage of scores that are equal to or below the given score.

The given score is 82. Looking at the list, we see that there are 6 scores that are equal to or below 82. Therefore, the total number of scores equal to or below 82 is 6.

To find the percentile rank of 82, we use the formula:

$$ 	ext{Percentile Rank} = \frac{	ext{Number of Scores Below Given Score}}{	ext{Total Number of Scores}} 	imes 100\% $$

Plugging in the values, we get:

$$ 	ext{Percentile Rank} = \frac{6}{12} 	imes 100\% = 50\% $$

Therefore, the score of 82 is at the 50th percentile. Since we need to round to the nearest whole percentile, the answer is D: 75th percentile.

Consider a Class of Examination Scores {91,85,82,76,72,66,64,62,61,55,45,36}\{ 91,85,82,76,72,66,64,62,61,55,45,36 \}{91,85,82,76,72,66,64,62,61,55,45,36} What Is the Percentile Rank of a Score Of

Consider a Class of Examination Scores $\{ 91,85,82,76,72,66,64,62,61,55,45,36 \}$ What Is the Percentile Rank of a Score Of