Question

Given a data set: (n=6): 7, 4, 9, 0, 7, 3     Find the 25 percentile of the data

Answer 1

Answer :-

The pth percentile is a value such that at least p percent of the observations is less than or equal to this value and at least

(100−p)percent of the observations is greater than or equal to this value.

The first step is to sort the values.

The sorted values are
0,3,4,7,7,9.

Since, there are 6 values, then
n=6.

Now, calculate the index i=(p/100)*n=(25/100)*6=1.5

Since index i is not an integer,

round up: i=2.

The percentile is at the position i=2nd observation is 3

Hence,

the 25th percentile is 3.