Question

The MCAT is the admission exam that medical schools use as one of the criteria for accepting students. The exam is based on a scale of 0-45. The following data shows the MCAT scores for nine students.

32 36 29 31 30 35 34 26 30

The 35th percentile of this data set is:________

a. 31
b. 32
c. 31.5
d. 30

Answer 1

d. 30

Explanation:

The computation of the 35th percentile of this data set is shown below:

Before that first we have to series the number in ascending number

S. No Numbers

1 26

2 29

3 30

4 30

5 31

6 32

7 34

8 35

9 36

Now use the formula

Here n = 9

Percentile = 100

`= (35(9 + 1))/(100) \\\\`

= 3.5th

= 3th + 0.5 (4th - 3th)

= 3th + 0.5 (30 - 30)

= 3th + 0

= 30