Question

use the following cell phone airport data speeds:

0.2, 0.2, 0.3, 0.3, 0.4, 0.4, 0.6, 0.7, 0.7, 0.8, 0.8, 0.8, 0.8, 0.9, 0.9, 0.9, 1.3, 1.6, 1.8, 1.8, 1.8, 2.3, 2.5, 2.6, 2.9, 2.9, 3.2, 3.6, 3.8, 4.3, 4.6, 5.6, 5.8, 6.4, 6.5, 6.8, 7.4, 7.5, 7.6, 9.8, 9.9, 10.9, 11.4, 12.3, 12.9, 13.5, 13.7, 14.2, 15.5, 25.2

Q1= ____Mbps

Answer 1

Solution :

Given that 0.2, 0.2, 0.3, 0.3, 0.4, 0.4, 0.6, 0.7, 0.7, 0.8, 0.8, 0.8, 0.8, 0.9, 0.9, 0.9, 1.3, 1.6, 1.8, 1.8, 1.8, 2.3, 2.5, 2.6, 2.9, 2.9, 3.2, 3.6, 3.8, 4.3, 4.6, 5.6, 5.8, 6.4, 6.5, 6.8, 7.4, 7.5, 7.6, 9.8, 9.9, 10.9, 11.4, 12.3, 12.9, 13.5, 13.7, 14.2, 15.5, 25.2

=> The first quartile of the data set is Q1 = 0.8 Mbps

Explanation :-

=> The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

=> So, the bottom half is

0.2 0.2 0.3 0.3 0.4 0.4 0.6 0.7 0.7 0.8 0.8 0.8 0.8 0.9 0.9 0.9 1.3 1.6 1.8 1.8 1.8 2.3 2.5 2.6 2.9   

=> The median of these numbers is 0.8

=> first quartile Q1 = 0.8