Question

how to calculate percentile

Answer 1

Percentile :-  A number where a certain percentage of an statistical data scores fall below that percentile.

formula :-

INDIVIDUAL AND DISCRETE SERIES 

1)  P1 = 1 × (N+1/100) th term
2)  P2 = 2 × (N+1/100) th term
3)  P3 = 3 × (N+1/100) th term
4)  P4 = 4 × (N+1/100) th term ....................
5)  P99 = 99× (N+1/100) th term 

CONTINUOUS SERIES 

1) P1 = L1 + (p1 - C / F) × i  ( p1-c / f upon f should be whole eg - 14 - 3/100)
2) P2 = L1 + (p2 - C / F) × i
3) P3 = L1 + (p3 - C / F) × i
4) P4 = L1 + (p4 - C / F) × i
5) P99 = L1 +(p99 - C / F) × i 

EXAMPLE :- 

QUE ;- Calculate the 10th term percentile from the following data .

C.I :- 33,22,55,47,21,68,49,40,33,38,42,48,52,37

SOLUTION :- 
 
firstly we have to arrange that data into ascending order so the order is,

21,22,33,33,37,38,40,42,47,48,49,52,55,68

S.NO :- 1,2,3,4,5,6,7,8,9,10,11,12,13,14
C.I     :- 21,22,33,33,37,38,40,42,47,48,49,52,55,68

NOW, we have to calculate 10th percentile so 

N = 14

P10 = 10 × (14+1/100) th term
            on solving them 10/100 = 10 so (15/10) th term
 
P10 = (15/10) th term
       = 15/10 th term 
          on solving them we get answer 1.5

now, P1.5 = 1st term + .5 ( 2nd term - 1st term )

P1.5 = 21 + .5 (22-21)

                                       P1.5 = 21.5 ANSWER

Hope it will help you 

thank you

Answer 2

If you have to find the percentile of X, Find the number of terms having value more than X. Percentile = no of terms having value more than X/ no of terms * 100. Hope it helps!