Question

For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.

Answer 1

Answer:

58.33%.

Step-by-step explanation:

We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.

First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.    

We can see that our data set has 6 data points and 2.9 is 4th data point.  

We will use percentile rank formula to solve our problem.  

$P=\frac{(100*(i-0.5))}{n}$, where,

P= Percentile rank,

i= Rank of the data point,

n = Total number of data points.

Upon substituting our given values we will get,

$P=\frac{(100*(4-0.5))}{6}$

$P=\frac{(100*3.5)}{6}$

$P=\frac{350}{6}$

$P=\frac{350}{6}$

$P=58.333$  

Therefore, percentile rank for the value 2.9 is 58.33%.