Question

Use the following cell phone airport data speeds (Mbps) from a particular network. Find P70

Answer 1

Note that the data is in ascendinhg order.

We shall find the position of the pth percentile as follows;

`\begin{gathered} i=(p)/(100)* n \\ \text{Where } \\ p=70,n=50\text{ (number of data)} \end{gathered}`

We now have;

`\begin{gathered} i=(70)/(100)*50 \\ i=35 \end{gathered}`

In the 34th and 35th position we have;

`\begin{gathered} \text{The 35th percentile is;} \\ ((5.4+5.7)/(2)) \\ =((11.1)/(2)) \\ =5.55 \end{gathered}`

ANSWER:

`P_(70)=5.55\text{Mbps}`