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

58.33%.

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=((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=((100*(4-0.5)))/(6)`

`P=((100*3.5))/(6)`

`P=(350)/(6)`

`P=(350)/(6)`

`P=58.333`

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