# Use the following values to answer the items below: 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 9, 9, 10, 11 What is the percentile rank of X = 6.5?

Use the following values to answer the items below:
4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 9, 9, 10, 11
What is the percentile rank of X = 6.5?
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Gael Irwin
To find Percentile rank of X =6.5:
4,4,4,5,5,6,6,6,6,7,8,8,9,9,10,11
Total number of observations = 16
Percentile rank formula:
$\text{percentie rank}=\left(\frac{L}{N}\right)\left(100\right)$
Of these 16 data values, 9 are less than or equal to the data value 6.5
$\text{percentie rank}=\left(\frac{9}{16}\right)\left(100\right)\phantom{\rule{0ex}{0ex}}\text{percentie rank}=\left(0.5625\right)\left(100\right)\phantom{\rule{0ex}{0ex}}\text{percentie rank}=56$
Therefore, the percentile rank of X =6.5 is 56%