Answered: What is the 90th percentile of the…

Math

Statistics

What is the 90th percentile of the following set of numbers: 4, 8, 9, 11, 13, 17, 20?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 8MCQ

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Question

What is the 90th percentile of the following set of numbers: 4, 8, 9, 11, 13, 17, 20?

Expert Solution

Step 1

Introduction

Percentiles are a statistical measure that divide a set of data into 100 equal parts, each representing 1% of the data. The pth percentile is a value that separates the bottom p% of the data from the top (100-p)% of the data. In other words, it is the value below which p% of the data falls. The calculation of percentiles is useful in various fields such as education, psychology, and medicine to determine the distribution of scores and to compare the scores of individuals or groups. In this answer, I'll explain how to find the 90th percentile of a set of numbers.