your medical terminology instructor listed the following grades for the class out of a 75 point test:

33,34,43,45,45,54,55,59,60,62,64,66,67,68,67,68,68,69,70,70
a.find the 90th percentile
b. your score was 59, what is your percentile?

a.

k =90

n = 20

90th percentile = k/100 *n


90/100* 20

=18

90th percentile = 69

b.

percentile = R/(n +1)

8/(20+ 1)

8/21 = .38095 *100 =

40

90

To find the 90th percentile and determine your percentile score, we will follow these steps:

Step 1: Sort the scores in ascending order.
33, 34, 43, 45, 45, 54, 55, 59, 60, 62, 64, 66, 67, 68, 67, 68, 68, 69, 70, 70

Step 2: Calculate the index of the 90th percentile by multiplying the total number of scores (N) by the desired percentile (P) and converting it to a number with no decimal places.
N = 20 (since there are 20 scores)
P = 90 (90th percentile)

Index = N * P / 100 = 20 * 90 / 100 = 18

Step 3: Identify the score at the index calculated in the previous step.
The 18th score in the sorted list is the 90th percentile score.

90th percentile score = 68

Thus, the answer to part a) is 68, which is the 90th percentile score.

To determine your percentile score (part b), we need to calculate the percentage of scores in the list that are lower than yours.

Step 4: Count the number of scores that are less than or equal to your score (59).
In this case, there are 8 scores (33, 34, 43, 45, 45, 54, 55, 59) that are less than or equal to 59.

Step 5: Calculate the percentile by dividing the count from Step 4 by the total number of scores and multiplying it by 100.
Percentile = (Count / N) * 100 = (8 / 20) * 100 = 40

Thus, the answer to part b) is your percentile score of 40.