Percentile no. $$$75$$$ of $$$29$$$, $$$21$$$, $$$17$$$

Find the percentile no. $$$75$$$ of $$$29$$$, $$$21$$$, $$$17$$$.

The percentile no. $$$p$$$ 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 $$$17$$$, $$$21$$$, $$$29$$$.

Since there are $$$3$$$ values, then $$$n = 3$$$.

Now, calculate the index: $$$i = \frac{p}{100} n = \frac{75}{100} \cdot 3 = \frac{9}{4}$$$.

Since the index $$$i$$$ is not an integer, round up: $$$i = 3$$$.

The percentile is at the position $$$i = 3$$$.

So, the percentile is $$$29$$$.

The percentile no. $$$75$$$A is $$$29$$$A.