Answer to Question #143913 in Statistics and Probability for Vladimyr Lubin

Question

(3.3.17) Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 9.3 Mbps.
0.2, 0.3, 0.3, 0.3, 0.3, 0.4, 0.4, 0.5, 0.5, 0.6
0.6, 0.6, 0.7, 0.8, 0.9, 0.9, 1.2, 1.3, 1.4, 1.7
1.7, 1.9, 2.2, 2.2, 2.4, 2.6, 2.8, 3.4, 3.5, 4.2
4.2, 4.4, 5.9, 6.2, 6.6, 6.6, 7.5, 9.3, 10.2, 10.3
10.9, 11.7, 12.1, 13.2, 13.3, 13.8, 14.5, 14.7, 15.6, 30.8
Percentile of 9.3=

Answer 1

9.3 Mbps is the 38th data value in the sorted data set.

Thus 37 of the 50 data values are smaller than 9.3 Mbps.

$$\dfrac{37}{50}=0.74=74\%$$

The xth percentile has the property that x% of the data values are below the percentile. Thus 9.3 Mbps corresponds with the 74 percentile.