Question: The salaries for 6 employees of XYZ company are $5000, $2500, $3200, $4100, $2200 and $1800. Find the percentile rank for a salary of $3200.
A ) 42nd percentile
B ) 58th percentile
C ) 66th percentile
D ) 0.58th percentile
Steps to derive
1 Write the salaries in increasing order.
$1800, $2200, $2500, $3200, $4100, $5000
2 Percentile rank for a salary of $3200, p = (number of employees below $3200)+0.5Total number of employees × 100%
3 There are 3 values below $3200. So, percentile is 3+0.56 × 100% = 58th percentile.
4 So, the employee with a salary of $3200 draws an amount which is more than the amount drawn by 58% of all the employees.
Hence the right answer is Option B
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