i. A percentile divides a distribution into one hundred equal parts. ii. A student scored in the 85 percentile on a standardized test. This means that the student scored lower than 85% of the rest of the students taking the test.
iii. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations.
A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (i) is a correct statement, but not (ii) or (iii).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct because a percentile does indeed divide a distribution into 100 equal parts. (iii) is correct as the interquartile range is indeed the difference between the third and first quartiles, representing the middle 50% of data. (ii) is incorrect because scoring in the 85th percentile means the student scored higher than 85% of the other students, not lower.

I a Percentile Divides a Distribution into One Hundred Equal