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 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.