2015-10-06T16:10:43+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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) ×

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)