Question

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 6.5 Mbps. 0.1 0.2 0.2 0.2 0.2 0.4 0.5 0.5 0.6 0.6 0.6 0.7 0.7 0.8 0.9 1.2 1.3 1.5 1.6 1.8 1.8 2.3 2.4 2.8 2.8 2.9 2.9 3.3 3.8 4.4 4.6 5.9 6.5 6.8 7.2 7.3 7.8 8.8 9.3 9.6 11.1 11.4 11.4 12.9 13.1 13.3 13.6 13.8 13.9 28.7 Percentile of 6.5equals

Answer 1

Solution:
Arranging Observations in the ascending order, We get :
0.1,0.2,0.2,0.2,0.2,0.4,0.5,0.5,0.6,0.6,0.6,0.7,0.7,0.8,0.9,1.2,1.3,1.5,1.6,1.8,1.8,2.3,2.4,2.8,2.8,2.9,2.9,3.3,3.8,4.4,4.6,5.9,6.5,6.8,7.2,7.3,7.8,8.8,9.3,9.6,11.1,11.4,11.4,12.9,13.1,13.3,13.6,13.8,13.9,28.7

Here, n=50

P_6.5 =(6 .5 (n+1)100)^th value of the observation

=(6.5⋅51 /100)^th value of the observation

=(3.31)^th value of the observation

=3^rd observation +0.31[4^th-3^rd]

=0.2+0.31[0.2-0.2]

=0.2+0.31(0)

=0.2+0

=0.2

P_6.5 = 0.2