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Percentile no. $$$25$$$ of $$$7.7$$$, $$$8.4$$$, $$$9$$$, $$$8$$$, $$$6.9$$$
Related calculators: Five Number Summary Calculator, Box and Whisker Plot Calculator
Your Input
Find the percentile no. $$$25$$$ of $$$7.7$$$, $$$8.4$$$, $$$9$$$, $$$8$$$, $$$6.9$$$.
Solution
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 $$$6.9$$$, $$$7.7$$$, $$$8$$$, $$$8.4$$$, $$$9$$$.
Since there are $$$5$$$ values, then $$$n = 5$$$.
Now, calculate the index: $$$i = \frac{p}{100} n = \frac{25}{100} \cdot 5 = \frac{5}{4}$$$.
Since the index $$$i$$$ is not an integer, round up: $$$i = 2$$$.
The percentile is at the position $$$i = 2$$$.
So, the percentile is $$$7.7$$$.
Answer
The percentile no. $$$25$$$A is $$$7.7$$$A.