Question

Calculate the 65th percentile of the data shown x 1.2, 2.5, 3.9, 10.3 ,11.2 ,12.6 ,18.4, 20.4 ,23.9 ,24.3 ,26

Answer 1

Step 1:

Arrange the datain ascending order:

1.2, 2.5, 3.9, 10.3,11.2, 12.6,18.4, 20.4,23.9, 24.3, 26

Step 2:

65th percentile is a value such that 65% of the data is this value. 35% of data is this value.

Step 3:

n = 11

Step 4:

Index i is given by:

Step 5:

Since index i is not an integer, round up:

i = 8

Step 6:

The percetile is at the position i =8.

It is

20.4

So,

Answer is:

20.4