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Chapter 4: Measures of Position
That is, the value of 10 corresponds to approximately the 46
th
percentile.
Again, we can use the
Basic Statistics
workbook to compute the answer.
The output is given in
Figure 4-9
. Note the data was entered in the Data 1
column.
Figure 4-9:
Computed percentile for
Example 4-4
Example 4-5:
The average radio DJ earns a salary of only $20,000 per
year. Below are the salaries of a sample of 10 radio DJs (1000s of dollars):
19 21 30 13 22 20 18 12 15 19
What is the percentile rank for a salary of 21,000?
Solution:
First, we need to arrange the values from the minimum to the
maximum values. The ordered array is given below:
12 13 15 18 19 19 20 21 22 30
Observe that the number of values below the value of 21 is 7 and the total
number of values in the data set is 10. Thus, using the formula, the
corresponding percentile will be
( )
.
That is, the value of 21 in the data set corresponds to the 75
th
percentile.
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