1. Chapter 2 Section 5 Notes Coach Bridges
Measures of Position
Chapter 2
Section 5
Notes
Coach Bridges
PATRICE WAS HERE!!! (: ENJOY YOUR DAY MR. BRIDGES!

2. Fractiles
Numbers that partition, or divide, an ordered data set into equal parts
The median is a fractile because it divides an ordered data set into two equal parts

3. Quartiles There are three quartiles
These quartiles approximately divide an ordered data set into four equal parts
One quarter of the data falls on or below the first quartile Q1
One half the data falls on or below the second quartile Q2
About three quarters of the data falls on or below the third quartile Q3

4. 5 Number Summary Minimum Maximum Quartile 1 Quartile 2 – Median

5. Examples Find the 3 quartiles of the following data set
13, 9, 18, 15, 14, 21, 7, 10, 11, 20, 5, 18, 37, 16, 17

6. 2nd Example Find the 3 quartiles of the following data set
23, 25, 30, 23, 20, 22, 21, 15, 25, 24, 30, 25, 30, 20, 23, 29, 20, 19, 22, 23, 29, 23, 28, 22, 28

7. Box and Whisker Plot Find the five-number summary
Construct a horizontal scale that spans the range of the data
Plot the five number summary
Draw a box from Q1 to Q3 and vertical line through Q2
Draw Whiskers for min and max

8. Interquartile Range (IQR)
Difference between the first and the third quartile in a data set
IQR = Q3 – Q1

9. Standard Score – Z Score
Z = value – mean
standard deviation