Question: Quartiles divide a sample into four nearly equal pieces. In general, a sample of size n can be broken into k nearly equal pieces by

Quartiles divide a sample into four nearly equal pieces. In general, a sample of size n can be broken into k nearly 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.

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