In a class of 40 students, each student received a distinct score on a final examination. … — GMAT

In a class of $40$ students, each student received a distinct score on a final examination. If a particular student's score is at the $85\text{th}$ percentile of the class scores, how many students scored lower than this student?

$34$ Cevap
B
$85$
C
$6$
D
$35$
E
$33$

Cevap

34 students scored lower than this student.

The 85th percentile of a group of 40 students means that 85% of the class scored below this student. Calculating

85\%

40

yields

0.85 \times 40 = 34

. Therefore, exactly 34 students scored lower.

Adım Adım Çözüm

Understand the definition of percentile rank.

Being at the

85\text{th}

percentile means that the student's score is strictly higher than

85\%

of the other scores in the dataset.

By definition, the

p\text{th}

percentile of a set of distinct values separates the lower

p\%

of the data from the rest.

Calculate

85\%

of the total number of students (

40

0.85 \times 40 = 34

Multiplying the percentage by the sample size gives the exact count of students below the percentile threshold.

Anahtar Kavram

Percentile Rank

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru