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.

P 75

Solution 26BSC

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 75th Percentile is

The obtained locator value is 18. The value of 75th Percentile is the 18th value counting from the lowest. Thus, the 18th value is 255 seconds. Therefore, 75th Percentile value is 255 seconds.