what is the answer

Question

The following are distances (in miles) traveled to the workplace by 15 employees of a certain hospital.
5, 32, 36, 7, 22, 1, 14, 14, 34, 15, 18, 9, 2, 24, 3
Find 25th and 70th percentiles for these distances.

Answer 1

4.5 = 25th %ile

20 = 70th %ile

rewrite the 15 digits in order smallest to largest

1,2,3,5,7,

9,14,14,15,18

22,24, 32,34,36

70th percentile has 70% below and 30% above

.7x15 = 10.5 .3x15 = 4.5 11th largest = 22 10th largest =18

average of 18 and 22 = 20 = the 70th percentile

25th percentile has 25% below = 15x.25 = 15/4 = 3.75

3rd largest = 3, 4th largest = 5

3/4 of the way from 3 to 5 = 4.5 = the 25th percentile