Question

Descriptive Statistics

Find the 34th percentile, P₃₄,  from the following data

1200	1300	1500	1700	1900
2000	2100	2400	2500	2700
3000	3100	3300	3500	3600
3700	3900	4000	4300	4400
4500	4700	5000	5100	5300
5400	5500	5800	6300	6400
6500	6600	6700	6800	7100
7600	7900	8000	8600	9000

P34 =

Answer 1

Consider , Xi : observations

1200,	1300,	1500,	1700,	1900,
2000,	2100,	2400,	2500,	2700,
3000,	3100,	3300,	3500,	3600,
3700,	3900,	4000,	4300,	4400,
4500,	4700,	5000,	5100,	5300,
5400,	5500,	5800,	6300,	6400,
6500,	6600,	6700,	6800,	7100,
7600,	7900,	8000,	8600,	9000

n:Total number of observations=40

Given that all observations are increasing order.

34th percentile =P34 = ((34/100) * (n-1))+1)th observation

P34=(14.26th observation) = 14th observation =3500

34 th percentile = 3500.