Statistics and Data (Algebraic) 4/6/2017 8:43 PM Precalculus Lesson 9.7 Statistics and Data (Algebraic) © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.

Quick Review

What you’ll learn about Parameters and Statistics Mean, Median, and Mode The Five-Number Summary Boxplots Variance and Standard Deviation Normal Distributions … and why The language of statistics is becoming more commonplace in our everyday world.

Mean

Median The median of a list of n numbers {x1,x2,…,xn} arranged in order (either ascending or descending) is the middle number if n is odd, and the mean of the two middle numbers if n is even.

Mode The mode of a list of numbers is the number that appears most frequently in the list.

Example Finding Mean, Median, and Mode Find the (a) mean, (b) median, and (c) mode of the data: 3, 6, 5, 7, 8, 10, 6, 2, 4, 6

Weighted Mean

Five-Number Summary

Boxplot

Outlier A number in a data set can be considered an outlier if it is more than 1.5×IQR below the first quartile or above the third quartile.

Standard Deviation

Normal Curve

The 68-95-99.7 Rule If the data for a population are normally distributed with mean μ and standard deviation σ, then Approximately 68% of the data lie between μ - 1σ and μ + 1σ. Approximately 95% of the data lie between μ - 2σ and μ + 2σ. Approximately 99.7% of the data lie between μ - 3σ and μ + 3σ.

The 68-95-99.7 Rule

Homework: Text pg783/784 Exercises #2-26 (intervals of 4)