Statistical Analysis with Excel

Learning Objectives Be able to use the Dial Caliper to measure Be able to use Microsoft Excel to –Calculate mean, median, mode, standard deviation, maximum and minimum values –Create a frequency chart –Create a histogram

Dial Caliper Interpretation: Practice Continue taking measurements. –Each person take 5-7 cubes, measure and record their values, then trade with three other people so you will have 28 measurements. Your task is to complete the measurements at the beginning of class today. Later in class we will take a look at using MS Excel to help with data analysis.

Spreadsheet Programs First developed in 70s –VisiCalc Dan Bricklin and Bob Frankston –Operated on Apple II –Not patented Excel based on earlier spreadsheet

Purpose of a Spreadsheet Store raw data Make calculations Analyze data Create charts to represent data Get out your notes and open Microsoft Excel.

Basics of Excel Column labels are letters – A, B, C Row labels are numbers – 1, 2, 3 A cell is the intersection of a column and row – C12 Worksheet –all of the cells on a “page” Workbook –collection of worksheets –Excel file

Basics of Excel Change worksheet name –Double click on sheet name –Type new name –Enter Change the name of the worksheet to ‘Heights’

Store Raw Data Create appropriate heading(s) for data Input data –Type by hand –Copy from electronic table Data array –Row –Column –Table Input height data as shown.

Calculations Cell designations used to indicate values Order of operations  Parentheses ( )  Exponents ^  Multiply *  Divide /  Add +  Subtract – Formula Bar

Calculations Always begin with = Use arrow keys or click in cell to select cells for values in formula –Arrow left to A5 –Type + –Arrow left to B5 –Type / –Type 12 –Enter Formula Bar Input a formula to calculate height in decimal feet for the first height.

Calculations To copy a formula –Select cell to copy –Right click –Copy –Select the range of cells to copy to –Right click –Paste Create a heading and copy formula to appropriate cells.

Raw Data and Calculated Values Format cells –Select data range –Right click within range –Select Format Cells –Adjust format Number –Decimal places Alignment –Horizontal Change format of height to 2 decimal places.

Calculations Functions –Defined mathematical calculation Function Excel command Addition of numbersSUM MeanAVERAGE MedianMEDIAN Standard Deviation (population)STDEV.P Mode (unimodal)MODE.SNGL MinimumMIN MaximumMAX Copy the formulas into your notes.

Calculations Functions –SUM (array) Gives the sum of an array Find the sum of the heights in decimal feet. –Select the cell for output –Type = –Type SUM( –Select the range of numbers to sum –Enter

Functions Use functions to find the following statistics for the set of height measurements –Mean –Mode: –Standard Deviation (population) –Minimum –Median –Maximum Use your notes to find the formulas.

Loading the Analysis Toolpak File -> Options Click Add-Ins -> Manage box -> Excel Add-ins Go Add-Ins available box, Select the Analysis ToolPak check box ->OK

Frequency Chart and Histogram Frequency Chart –indicates the frequency of occurrence within a class interval Histogram –graphical representation of the Frequency Chart

Frequency Chart and Histogram Select class intervals –Use ft intervals for height data –Define Bin values Bins give the boundary point between class intervals Values less than or equal to bin value (but greater than previous bin value) are counted 1) Create the Bin chart for the decimal height measures.

Frequency Chart and Histogram Select the Data Analysis Tool –Data tab > Analysis panel

Frequency Chart and Histogram Select the Data Analysis Tool –Data tab > Analysis panel –Choose Histogram tool –OK

Frequency Chart and Histogram x Select the Data Analysis Tool –Data tab > Analysis panel –Choose Histogram tool –OK –Select Input Range –Select Bin Range –Choose Output Range Select a cell on the worksheet –Select ‘Chart Output’ –OK

Selecting Input Range 1) Click on 2) Click and Drag to Select the Values to Graph 3) Hit ‘Enter’

Selecting Bin Range 1) Click on 2) Click and Drag to Select the Bin Values 3) Hit ‘Enter’

Chart Output 1) Click on ‘Output Range’ Button 2) Click to check ‘Chart Output’ 3) Click on a Cell on the Worksheet to select where the Histogram will show up. 4) Click ‘OK’

Frequency Chart and Histogram Frequency Chart Histogram

Correct Data Labels 2) Double click on ‘Bin’ to ‘Height’ 1) Double click on ‘Histogram’ and change to ‘Heights of Students’ 3) Double click on ‘Frequency’ and delete it.

Excel Worksheet Using the data from the Cube Measures Find the Mean, Median, Mode, Standard Deviation and create a histogram of the data. Push: Experiment with the Histogram, display other statistics on the data. YourNameCubeStatistics And complete the 3.3 Worksheet