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Chapter 3: Q17 (page 126)

In Exercises 17–20, use the following cell phone airport data speeds (Mbps) from Sprint. Find the percentile corresponding to the given data speed.

0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.5 0.6 0.6 0.7 0.8 1.0 1.1 1.1 1.2 1.2 1.6 1.6 2.1 2.1 2.3 2.4 2.5 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 8.2 9.6 10.6 13.0 14.1 15.1 15.2 30.4

2.4 Mbps

Short Answer

Expert verified

The value of data speed equal to 2.4 Mbps is in the 58th percentile.

Step by step solution

01

Given information 

A list of 50 sprint data speeds is provided.

02

The formula for percentile 

A percentileof a value is the percentage of values that lie below that value in a sorted data set.

It is computed as follows for a value x of the data set:

Px=NumberofvaluesbelowxTotalnumberofvalues×100

03

Computation to determine percentile for 2.4 Mbps

Steps to follow to compute the percentile.

  • Arrange the data speeds in ascending order.
  • Count the total number of values.
  • Count the number of values less than 2.4.
  • Perform the calculation as shown below:

Thus, the percentile for 2.4 Mbps speed is computed as follows:

P2.4=Numberofvaluesbelow2.4Totalnumberofvalues×100=2950×100=58

Therefore, a value of 2.4 Mbps lies in the 58th percentile.

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