Question

Find the 25th, 50th, and 75th percentile from the following list of 33 data 1 00 13 14 15 18 19 20 25 32 36 34 42 37 50 30 38 54 41 47 65 69 71 72 58 75 82 84 85 88 91 99 100 25th percentile- 50th percentile- 75th percentile-

Answer 1

data the order Arrange in ascending given / 8,13,14, 15, 18, 19, 20, 25, 30, 32, 34, 36, 37, 38 41,42,47, 50,54,58, 65, 69,71, 72, 75,82,84,85,88 91,99, 100 Formula box kth Percentile let K the Percentile is the index (sanking or Position) the total number of data Values is too (n+1) 25th Percentile na Here Ka 25 na 33 K 100 (n+1) 25 100 33+0) 0.25 X34 i 8.5 ဂျစ် th 25 Percentive - Avg of gth value & oth vale cs Scanned with CamScanner

th 25 Aug of 20825 percentile 20 +25 2 th 25 Percentile = 22.5 goth percentile (n+1) 100 50 (33+0) 100 0- 17 th Soth 17 Therefore Position value Percentile 42. 50th percentile =42 K EMAD 75th percentile 100 275 78 00 (334) = 25.5 75th percentile Aug of a5th & 6th posihon Valle = Aug of 72875 aft = 72+75 2 7 3.5 = th 75 percentile cs Scanned with CamScanner

Therefore

25th percentile is 22.5

50th percentile is 42

75th percentile is 73.5