This document introduces measures of position such as median, percentile, and describes how to calculate position within a data set. It provides examples of calculating position, such as finding the median of test scores, determining one's position compared to siblings by age, and calculating the percentage of students shorter than someone who is the 3rd tallest out of 11 people.

1. INTRODUCTION TO
MEASURES OF
POSITION

2. Have you wondered what grade you need for
each subject area to qualify for honors?

3. We will focus on the concept of the
measures of position.
Find Your Center…
The midpoint between two numbers 𝑥
and 𝑦 on the real number line is
𝑥+𝑦
2
.

4. Remember:
The median divides the distribution into two equal
parts. It is a point in the distribution where one-half (or
50%) of the distribution lies below it and one-half (or
50%) above it.

5. A group of students obtained the following scores
in their statistics quiz:
8, 2, 5, 4, 5, 7, 1, 3, 6, 9
How would you know your position if you obtained a
score of 4?
What is the position of your score from the highest?
What percent of the students are below your score?

6. In a family of 7, Jose, Pedro, Elena, Maria, and
Salve are siblings from eldest to youngest
What is Elena’s position from the eldest?
What percent of the siblings are younger than Elena?

7. 1. You are the third tallest student
in a group of 11. If you are the 3rd
tallest, how many students are
shorter than you?
2. How many percent are shorter
than you?