Chapter 10.1, Problem 9PPS

To determine

To find percentile rank of M.

Answer to Problem 9PPS

Percentile ranking of M is 72.2

Explanation of Solution

Given information:

Name	Score
A	84
B	96
C	80
D	72
E	80
F	80
GA	84
I	84
H	92
J	100
K	84
L	80
M	88
N	80
O	76
P	80
R	84
Y	92

Formula used: Percentile formula is,

  $percentile=\frac{b}{n}\times 100$

Where, b is number of terms below the percentile

n is total number of terms

Calculation:

Re-arranging the students according to the increasing order of their marks,

Name	Score
A	72
B	76
C	80
D	80
E	80
F	80
GA	80
I	80
H	84
J	84
K	84
L	84
M	84
N	88
H	92
Y	92
B	96
J	100

Number of students above M (b) = 13

Total number of terms (n) = 18

Substituting the values,

  $percentile=\frac{13}{18}\times 100$

On solving,

  $percentile=72.2\%$

Hence, Percentile ranking of M is 72.2