Question

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 4.3 Mbps. 0.1 0.2 0.3 0.4 0.4 0.4 0.5 0.6 0.7 0.7 0.7 0.7 0.8 0.9 0.9 0.9 1.5 1.5 1.7 1.8 1.9 2.1 2.6 2.6 2.6 2.7 2.7 3.1 3.3 4.3 5.1 5.9 6.2 7.1 7.2 7.3 8.7 8.8 9.5 9.6 10.9 11.1 11.2 11.4 12.7 13.4 14.4 14.7 15.5 27.2 Percentile of 4.3=

Answer 1

Solution:
Arranging Observations in the ascending order, We get :
0.1,0.2,0.3,0.4,0.4,0.4,0.5,0.6,0.7,0.7,0.7,0.7,0.8,0.9,0.9,0.9,1.5,1.5,1.7,1.8,1.9,2.1,2.6,2.6,2.6,2.7,2.7,3.1,3.3,4.3,5.1,5.9,6.2,7.1,7.2,7.3,8.7,8.8,9.5,9.6,10.9,11.1,11.2,11.4,12.7,13.4,14.4,14.7,15.5,27.2

Here, n=50

P_4.3=(4(n+1)100)^th value of the observation

=(4⋅51/100)^th value of the observation

=(2.04)^th value of the observation

=2^nd observation +0.04[3^rd-2^nd]

=0.2+0.04[0.3-0.2]

=0.2+0.04(0.1)

=0.2+0.004

=0.204

P_4.3= 0.2