Question

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find Upper Q 1. 0.1 0.3 0.3 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.7 0.7 0.7 0.8 0.9 1.1 1.2 1.5 1.7 1.8 2.1 2.1 2.1 2.1 2.5 3.3 3.5 3.6 4.4 5.5 6.2 7.1 7.2 7.6 7.9 8.1 8.2 8.8 9.6 10.4 11.3 11.4 11.5 12.4 12.9 13.8 15.3 15.3 15.8 28.5 Upper Q 1equals Mbps ​(Type an integer or a decimal. Do not​ round.)

Answer 1

Solution:-

Data,

0.1,0.3,0.3,0.4,0.5,0.5,0.6,0.6,0.7,0.7,0.7,0.7,0.7,0.8,0.9,1.1,1.2,1.5,1.7,1.8,2.1,2.1,2.1,2.1,2.5,3.3,3.5,3.6,4.4,5.5,6.2,7.1,7.2,7.6,7.9,8.1,8.2,8.8,9.6,10.4,11.3,11.4,11.5,12.4,12.9,13.8,15.3,15.3,15.8,28.5

Arranging Observations in the ascending order,

0.1,0.3,0.3,0.4,0.5,0.5,0.6,0.6,0.7,0.7,0.7,0.7,0.7,0.8,0.9,1.1,1.2,1.5,1.7,1.8,2.1,2.1,2.1,2.1,2.5,3.3,3.5,3.6,4.4,5.5,6.2,7.1,7.2,7.6,7.9,8.1,8.2,8.8,9.6,10.4,11.3,11.4,11.5,12.4,12.9,13.8,15.3,15.3,15.8,28.5.

Here, n=50

Q1=(n+1/4)th value of the observation

=(51/4)th value of the observation

=(12.75)th value of the observation

=12th observation +0.75[13th-12th]

=0.7+0.75[0.7-0.7]

=0.7+0.75(0)

=0.7+0

=0.7