# Quartiles and Percentiles Worksheets

What Are Quartiles and Percentiles in Statistics? Percentile is not a term strictly related to statistics; we use percentiles in our everyday life. We use percentile to better understand the health indicators, test scores, and other measurements that we make on a regular basis. In statistics, percentiles are used to interpret and understand a set of data. The nth percentile is the value below which a percentage of data in a data is present. For instance, a 20 years old male measuring six feet height lies in the 89th percentile for this height. It means of all the 20 years old male; 89 percent measures equal to or less than six feet. In statistics, we use quartiles to group summarize the set of numbers. Typically, we use five numbers to make up quartiles. Quartiles are the group of five numbers that we use to break a data set into four groups. The five numbers are listed below: Minimum or the 0th percentile, it is known as the smallest number in the group. 1st quartile or the 25th percentile, it is the number that splits the lowest 25th of the group from the highest 75th. Median or the 50th percentile, it is the number present in the middle of the group. 3rd quartile or the 75th percentile, it is the number that separates the lowest 75th of the group from the highest 25th of the group. Maximum or the 100th percentile, it is the largest number.

• ### Basic Lesson

Guides students through solving problems that involve the concepts of quartiles and percentiles. Complete the table and find the interval that contains the median. Read the data set and write in the table the frequency of each number. The median is the middle value of the data set (arranged in ascending order).

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving quartiles and percentiles based questions. Find the percentile rank for a score of 6 on this test. Locate the 6. Since there are 2 values equal to 6, assign one to the group "above 6" and the other to the group "below 6".

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of quartiles and percentiles. Find the percentile rank for a score of 60 on this test.

• ### Independent Practice 2

Students use quartiles and percentiles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of quartiles and percentiles.

• ### Skill Quiz

This tests the students ability to understand the application of quartiles and percentiles.

• ### Answer Key

Answers for all lessons and independent practice.

#### Those Fractions!

A mnemonic device of naming the numerator any name beginning with an "N" and calling the denominator "dog" is one way to remember how to convert a fraction to a decimal. You put the person inside the house (the bracket) and the dog stays outside.