Chapter 2 Section 5 Notes Coach Bridges

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Presentation transcript:

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!

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

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

5 Number Summary Minimum Maximum Quartile 1 Quartile 2 – Median

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

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

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

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

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