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 cut points (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.