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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.2 - Problem 15e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.2 - Problem 15e

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# Quartiles divide a sample into four nearly equal pieces.

ISBN: 9780073401331 38

## Solution for problem 15E Chapter 1.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 15E

Problem 15E

Quartiles divide a sample into four nearly equal pieces. In general, a sample of size n can be broken into knearly equal pieces by using the cutpoints (i / k) (n+1) for i = 1,…., k − 1. Consider the following ordered sample:

2 18 23 41 44 46 49 61 62 74 76 79 82 89 92 95

a.         Tertiles divide a sample into thirds. Find the tertiles of this sample.

b. Quintiles divide a sample into fifths. Find the quintiles of this sample.

Step-by-Step Solution:

Step 1 of 3:

It is given that a sample of size n can be divided into k nearly equal parts using the cutpoints

(n+1) ;i=1,2,....,k-1.

Also the given ordered sample is 2,18,23,41,44,46,49,61,64,74,76,79,82,89,92,95.

We have to find the tertiles and quintiles of the sample.

Step 2 of 3

Step 3 of 3

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Quartiles divide a sample into four nearly equal pieces.