In Exercises 21–28, use the same list of 24 sorted Old Faithful eruption duration times given for Exercises 17–20. Find the indicated percentile or quartile.
We know that, the locator for finding the value corresponding to the given Percentile in the sorted list of the given data found by
Where be the total number of observations in the given data set, be the percentile being used, and be the locator that gives the position of a value in the given data set.
Thus, the location of 25th Percentile is
The obtained locator value is six. The value of 25th Percentile is the sixth value counting from the lowest. Thus, the sixth value is 234 seconds. Therefore, 25th Percentile value is 234 seconds.