Welcome to MM207 - Statistics!Unit 2 Seminar

Monday8:00 – 9:00 pm ET

Professor: Dan WatsonGood Evening Everyone!

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Organizing Data: Graphs and Tables

• Common GraphsHistogram Circle graphs (Pie chart)Bar graphs Time series graphPareto chart Stem-and-leaf plot

• Excel templates for creating Histograms and Pie Charhttps://docs.google.com/leaf?id=0B0ucIB81tO7DYjg0YjQzNDAtMDA2Yy00YzMzLWE1NzAtMTdlMjQ3OTJkY2Nm&sort=name&layout=list&num=50

• Additional resources available in the classroom by clicking on:

Unit 11 -> Web Resources

Analysis Toolpak

Histogram Add-in

Creating a Histogram in Excel

Creating a Histogram in ExcelEnter in Left and Right Endpoints for ClassesCalculate Midpoint by using the formula =(A4+B4)/2. Copy this cell (ctrl+c), Highlight the remaining midpoint cells and select paste (ctrl+v).

Creating a Histogram in ExcelEnter in Frequency for Column DCalculate Relative Frequency by using the formula =(D4)/50. Copy this cell (ctrl+c), Highlight the remaining relative frequency cells and select paste (ctrl+v).

Creating a Histogram in ExcelClick on ‘Insert’ -> ‘Chart’ -> ‘Column’Highlight the Frequency and select appropriate histogram

Creating a Histogram in ExcelTo set the x axis, right click on the chartand select ‘Select Data’, click on ‘Category (x) axis labels, and highlight theMidpoints

Creating a Histogram in ExcelTo make the bars touch each other, right click on one of the barsand select ‘Format Data Series’Set the Gap Width to 0%

Creating a Histogram in ExcelFinished Product! -> Copy and Paste Histogram into your Word Document

Creating a Pie Chart in Excel

Creating a Pie Chart is the same procedureClick on ‘Insert’ -> ‘Chart’ -> ‘Pie’

Mode, Median, and Mean Summary

• Mean: The mean is the arithmetic average of the data set. (page 67) • Median: The median is the central value of an ordered data set. (page 68)• Mode: The mode of a data set is the value that occurs most frequently.

(page 69)

Mode, Median, and Mean Summary

• Mean: The mean is the arithmetic average of the data set. (page 67)

Mode, Median, and Mean Summary

• Median: The median is the central value of an ordered data set. (page 68)

Mode, Median, and Mean Summary

• Mode: The mode of a data set is the value that occurs most frequently. (page 69)

Mode, Median, and Mean Summary

• Mode: The mode of a data set is the value that occurs most frequently. (page 69)

Range Summary

• Range is the difference between the largest and smallest values in a data set

Sample Standard Deviation

• The variance is a measure of how far a set of numbers are spread out from each other

Sample Standard Deviation

• The sample standard deviation gives you how the data is spread about the sample mean.

Sample Standard Deviation• The sample standard deviation gives you how the data is

spread about the sample mean.

Empirical Rule

• Empirical Rule for data with a bell-shaped distribution, the standard deviation has the following characteristics.

1. About 68% of the data lies within one standard deviation of the mean.

2. About 95% of the data lies within two standard deviations of the mean.

3. About 99.7% of the data lies within three standard deviations of the mean.

Empirical Rule

Empirical Rule