Q20 In Exercises 17鈥�20, use the fo... [FREE SOLUTION]

Chapter 3: Q20 (page 126)

In Exercises 17鈥�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
9.6 Mbps

Expert verified

The speed of 9.6 Mbps corresponds to the 86^th percentile.

The sample provided has a group of 50 data speeds.

The percentileof a given value involves calculating the ratio of the number of values less than that given value to the total number of values.

The ratio of two values is multiplied by 100 to obtain the percentile. In terms of a mathematical expression, it is written as follows:

$P_{x} = \frac{N u m b e r o f v a l u e s b e l o w x}{T o t a l n u m b e r o f v a l u e s} 脳 100$

Steps to find the percentile value:

The percentile corresponding to a data speed of 9.6 Mbps is as follows:

$P_{9.6} = \frac{N u m b e r o f v a l u e s b e l o w 9.6}{T o t a l n u m b e r o f v a l u e s} 脳 100 = \frac{43}{50} 脳 100 = 86$

Therefore, 9.6 Mbps corresponds to the 86^th percentile.

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