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Jobisdone [24]
3 years ago
7

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find P10. 0.1 0.1 0.3 0.3 0.3 0.4 0.4 0.4 0.

6 0.7 0.7 0.7 0.8 0.8
Computers and Technology
1 answer:
sasho [114]3 years ago
3 0

Answer:

P_{10} =0.1

Explanation:

Given

0.1, 0.1, 0.3, 0.3, 0.3, 0.4, 0.4, 0.4, 0.6, 0.7, 0.7, 0.7, 0.8, 0.8

Required

Determine P_{10}

P_{10} implies 10th percentile and this is calculated as thus

P_{10} = \frac{10(n+1)}{100}

Where n is the number of data; n = 14

P_{10} = \frac{10(n+1)}{100}

Substitute 14 for n

P_{10} = \frac{10(14+1)}{100}

P_{10} = \frac{10(15)}{100}

Open the bracket

P_{10} = \frac{10 * 15}{100}

P_{10} = \frac{150}{100}

P_{10} = 1.5th\ item

This means that the 1.5th item is P_{10}

And this falls between the 1st and 2nd item and is calculated as thus;

P_{10} = 1.5th\ item

Express 1.5 as 1 + 0.5

P_{10} = (1 +0.5)\ th\ item

P_{10} = 1^{st}\ item +0.5(2^{nd} - 1^{st}) item

From the given data; 1st\ item = 0.1 and 2nd\ item = 0.1

P_{10} = 1^{st}\ item +0.5(2^{nd} - 1^{st}) item becomes

P_{10} =0.1 +0.5(0.1 - 0.1)

P_{10} =0.1 +0.5(0)

P_{10} =0.1 +0

P_{10} =0.1

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