Following are the playback rimes (in hours) for a sample of 20 MP3 players
8,15,21,21,23,23,24,26,27,30,30,31,41,50,61,62,63,63,64,71
What is the 65th percentile?
Position | X (Asc. Order) |
1 | 8 |
2 | 15 |
3 | 21 |
4 | 21 |
5 | 23 |
6 | 23 |
7 | 24 |
8 | 26 |
9 | 27 |
10 | 30 |
11 | 30 |
12 | 31 |
13 | 41 |
14 | 50 |
15 | 61 |
16 | 62 |
17 | 63 |
18 | 63 |
19 | 64 |
20 | 71 |
The 65% percentile is located between the values in the positions 13 and 14. Those value in ascending order, are 41 and 50.
The value of 13.65 - 13 = 0.65
corresponds to the proportion of the distance between 41 and 50
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