KhalebF431163 KhalebF431163
  • 25-10-2022
  • Mathematics
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Use the following cell phone airport data speeds (Mbps) from a particular network. Find P70

Use the following cell phone airport data speeds Mbps from a particular network Find P70 class=

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TrystynF732061 TrystynF732061
  • 25-10-2022

Note that the data is in ascendinhg order.

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

[tex]\begin{gathered} i=\frac{p}{100}\times n \\ \text{Where } \\ p=70,n=50\text{ (number of data)} \end{gathered}[/tex]

We now have;

[tex]\begin{gathered} i=\frac{70}{100}\times50 \\ i=35 \end{gathered}[/tex]

In the 34th and 35th position we have;

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

ANSWER:

[tex]P_{70}=5.55\text{Mbps}[/tex]

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