45.9k views
3 votes
For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.

User Ashishsony
by
7.2k points

1 Answer

2 votes

Answer:

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%.

User Abel Valdez
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories