Question

the 40th percentile of the data
5,6,7,9,10,14,17,18,19,21,22,24,25,32,33,34,36,38,39,40
is

33.5
38.5
5.5
23
18.5
8

Explanation:

Step1: Count data points

n = 20

Step2: Calculate position i

i = (40/100)*20 = 8

Step3: Find 8th and 9th values

8th=18, 9th=19

Step4: Compute average

(18+19)/2 = 18.5

Answer:

18.5