In Exercises, use the same list of 24 sorted Old Faithful eruption duration times given for Exercises. Find the indicated percentih or quartih.

P50

Solution 25BSC

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 50th Percentile is

The obtained locator value is 12. The value of 50th Percentile is midway between the value and the next value in the original data set. That is, the value of 50th percentile is midway between the 12th and 13th value. Therefore, the 50th percentile is,

Hence, the 50th percentile is 247.5