Which of the following statements regarding percentiles is true? (More than one statement may be true).
A: In any data set, $\mathrm { P } _ { 90 }$ is greater than $\mathrm { P } _ { 80 }$

B: In any data set, $\frac { P _ { 10 } + P _ { 90 } } { 2 }$ is equal to $Q _ { 2 }$

C: In a set of 20 test scores, the percentile of the second highest score is 95

A) C
B) B
C) A
D) All of the above

Question

Which of the following statements regarding percentiles is true? (More than one statement may be true).
 A: In any data set, $\mathrm { P } _ { 90 }$ is greater than $\mathrm { P } _ { 80 }$

B: In any data set, $\frac { P _ { 10 } + P _ { 90 } } { 2 }$ is equal to $Q _ { 2 }$

C: In a set of 20 test scores, the percentile of the second highest score is 95

A) C
B) B
C) A
D) All of the above

Quizplus · Accepted Answer

Percentiles are measures that divide a data set into 100 equal parts. $\mathrm { P } _ { 90 }$ is typically greater than $\mathrm { P } _ { 80 }$ because it represents a higher position in the data set. However, $\frac { P _ { 10 } + P _ { 90 } } { 2 }$ is not necessarily equal to $Q _ { 2 }$ (the median), and in a set of 20 scores, the second highest score would not typically be at the 95th percentile.

Which of the Following Statements Regarding Percentiles Is True? (More P90\mathrm { P } _ { 90 }P90​

Which of the Following Statements Regarding Percentiles Is True? (More $\mathrm { P } _ { 90 }$