find the value of the 20th and 85th percentiles of the date. 19,10,8,6,12,8,18,21,20,3,18,13,6,2,14,13,12,16,17,21

A)20th percentile = 7 85th percentile = 18
B)20th percentile = 3 85th percentile = 20
C)20th percentile = 6 85th percentile = 19
D)20th percentile = 7 85th percentile = 19

1 answer

To find the 20th percentile, first arrange the data in ascending order: 2, 3, 6, 6, 8, 8, 10, 12, 12, 13, 13, 14, 16, 17, 18, 18, 19, 20, 21, 21

Now, calculate the position of the 20th percentile: 20 * 0.2 = 4

The 20th percentile is the 4th value in the ordered list, which is 6.

To find the 85th percentile, calculate the position: 20 * 0.85 = 17

The 85th percentile is the 17th value in the ordered list, which is 19.

Therefore, the correct answer is:

C) 20th percentile = 6, 85th percentile = 19