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Chapter 4: Measures of Position
Step 3.1
:
If
is not a whole number, round up to the next whole number.
Locate this position in the ordered set. The value at this location is the
required data value for the given percentile
.
Step 3.2:
If
is
a whole number, find the average of the values in the
and
( )
positions in the ordered set. The average value of these
data points at these locations will be the required data value for the given
percentile
.
Example 4-6:
The last time the Summer Olympics was held in the United
States was in 1996 in Atlanta, Georgia. The data given below represents the
19 countries with the largest numbers of total Olympic medals, excluding
the United States, which had 101 medals. Find the 65
th
percentile for the
data set.
63 65 50 37 35 41 25 23 27 21 17 17 20 19
22 15 15 15 15
Solution:
First, we need to arrange the data set in order. The ordered set is:
15 15 15 15 17 17 19 20 21 22
23 25 27 35 37 41 50 63 65.