Question

Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 9.2 Mbps 0.2 0.7 0.3 0.7 2.1 3.5 12.1 0.4 0.8 2.1 4.2 12.3 0.5 0.8 2.2 5.8 12.5 0.5 0.8 2.3 7.2 12.5 0.6 0.9 2.4 7.5 13.3 0.6 0.6 0.7 1.5 2.9 11.5 29.1 0.6 3.5 11.6 2.4 7.9 13.4 2.9 9.2 13.7 2.9 9.8 15.9 Percentile of 9.2- (Round to the nearest whole number as needed.)

Answer 1

given data in ascending order

0.2,0.3,0.4,0.5,0.5,0.6,0.6,0.6,0.6,0.7,0.7,0.7,0.8,0.8,0.8,0.9,1.3,1.3,1.4,1.5,1.5,2.1,2.1,2.2,2.3,2.4,2.4,2.9,2.9,2.9,3.5,3.5,4.2,5.8,7.2,7.5,7.9,9.2,9.8,11.5,11.6,12.1,12.3,12.5,12.5,13.3,13.4,13.7,15.9,29.1

now we have to calculate the percentile for 9.2

So according to the formula the percentile

L+(0.5 S)1/N 100

where L=number of below rank =37

S=Number of same ranks =1

N= total numbers=50

PR%=

L+(0.5* S)1/N100 37(0.5 1)1/50 100 0.75 100- 75th