Q19 In Exercises 17鈥�20, use the fo... [FREE SOLUTION]

Chapter 3: Q19 (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
0.7 Mbps

Expert verified

0.7 Mbps corresponds to the 34^th percentile.

A group of 50 airports was sampled for data speeds, measured in Mbps.

A percentileof an observation highlights the percentage of observations less than that given value.

Mathematically,

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

Steps to compute the percentile:

The percentile corresponding to 0.7 Mbps:

$P_{0.7} = \frac{N u m b e r o f v a l u e s b e l o w 0.7}{T o t a l n u m b e r o f v a l u e s} 脳 100 = \frac{17}{50} 脳 100 = 34$

Therefore, 0.7 Mbps corresponds to the 34^th percentile.

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