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Getting the Standard Deviation from your calculator: The following data set was used to get the mean with several different calculators. 1, 1, 1, 4, 7, 7, 7 standard deviation = 3 Popular calculators used by students: Casio fx-115MS Casio FX 115 ES TI-30Xa Ti-30XIIs TI-36x TI-83, TI-83Plus TI-89 There are hundreds of calculators on the market that find the standard deviation. If you do not have one of these calculators, you have several options. Look at the manual for your calculator. Go to Google and type “standard deviation with __________ calculator”. Casio fx-115MS Click on the Mode button twice until you see “SD”. Select 1. This puts the calculator in Statistics Mode. Enter the first number, 1. Hit the M+. (n= 1 will appear in the window) Enter the second number, 1. Hit the M+ key. (n=2 will appear in the window) ..... Enter the last number, 7. Hit the M+ key. (n=7 will appear in the window) Hit shift, 2. (This invokes the S-Var option.) Hit 1 for the sample mean. Hit Enter. Hit 3 for the sample standard deviation that we will use in class. Hit Enter. Casio FX 115 ES MODE button 3 for STAT 1 for 1-VAR Enter your data 1, enter, 1, enter, etc SHIFT 1 for [STAT] 5 for Var 3 for population standard deviation or 4 for sample standard deviation. Also, 2 for mean. TI-30Xa Enter the first number, 1. Hit the Σ+ (Sigma+) key. ( n=1 will appear in the window) Enter the second number, 1. Hit the Σ+ (Sigma+) key. (n=2 will appear in the window) ..... Enter the last number, 7. Hit the Σ+ (Sigma+) key. (n=7 will appear in the window) Hit 2nd x2 (by hitting the 2nd key you are actually selecting the x-bar written above the key.) This gives you the mean. Hit 2nd sqrt(x). This gives you the sample standard deviation which we will use in class. Make sure you turn your calculator off and on for new data sets. TI-30XIIS Hit 2nd, Data (this means really that you are entering the STAT menu) Select 1-Var. A blank screen will appear. Select Data again. X1 will appear. Enter in 1. Scroll down, you will see FRQ=1. Scroll down. You will see X2=. Enter 1. Scroll down, you will see FRQ=2. Scroll Down. .... Enter the last number 7. Scroll down, you will see FRQ=7. Select STATVAR. Use the right arrow key to get: n, x-bar, and sx. If I ask you to compute the standard deviation by hand, I am looking for sx— not the other listed values. TI-36X Hit the 2nd and x<>y button. (This puts us in Statistics 1 mode.) Enter the first number, 1. Hit the Σ+ (Sigma+) key. (1 will appear in the window) Enter the second number, 1. Hit the Σ+ (Sigma+) key. (2 will appear in the window) ..... Enter the last number, 7. Hit the Σ+ (Sigma+) key. (7 will appear in the window) Hit 2nd x2 (by hitting the 2nd key you are actually selecting the x-bar written above the key.) This gives you the mean. Hit 2nd sqrt(x). This gives you the sample standard deviation which we will use in class. Make sure you turn your calculator off and on for new data sets. TI-83, TI-83 Plus Hit 2nd and click on 0 (by hitting the 2nd key you are actually selecting the catalog written above the key.) Select LN (You are actually selecting the S in green.) This skips you through the catalog through the s’s. Use the arrow down key at the top to scroll to stdDev( . Hit Enter. This will take you back to the main window. Finish off the statement, so that it looks like this below. stdDev({1,1,1,4,7,7,7}) Notice the insertion of the curly brackets. These are very important. After the above is entered, hit Enter. TI-89 Hit the Catalog key. Select 3 (You are actually selecting the S in purple.) This skips you through the catalog through the s’s. Use the arrow down key at the top to scroll to stdDev( . Hit Enter. This will take you back to the main window. Finish off the statement, so that it looks like this below. stdDev({1,1,1,4,7,7,7}) Notice the insertion of the curly brackets. These are very important. After the above is entered, hit Enter. How do I calculate standard deviation on my TI-83 family or TI-84 Plus family calculator? Standard deviation can be calculated using several methods on the TI-83 family and TI-84 Plus family graphing calculators. Standard deviation can be calculated by using the stdDev() function. The stdDev() function can be located by performing the following: • Press [2nd][LIST] • Scroll to MATH and select 7:stdDev( Follow the examples listed below to calculate standard deviation of one or two list of data. Ex. Find the standard deviation of the data list. List1: 2,3,5,1,4 • Press [2nd], [LIST], scroll to MATH and select 7:stdDev( • Press [2nd] [(] [2] [,] [3] [,] [5] [,] [1] [,] [4] [2nd] [)] [)] • The screen should now display 'stdDev({2,3,5,1,4})' • Press [ENTER] and the standard deviation of the list will be displayed Ex. Find the standard deviation of the two data list. List1: 2,3,5,1,4 List2: 1,2,5,4,1 • Press [2nd], [LIST], scroll to MATH and select 7:stdDev( • Press [2nd] [(] [2] [,] [3] [,] [5] [,] [1] [,] [4] [2nd] [)] [)] [,]and [2nd] [(] [1] [,] [2] [,] [5] [,] [4] [,] [1] [2nd] [)] [)] • The screen should now display 'stdDev({2,3,5,1,4},{1,2,5,4,1})' • Press [ENTER] and the standard deviation of the two list will be displayed The standard deviation is also calculated and displayed when 1-variable or 2-variable statistics are calculated. The example below will demonstrate how to calculate 1-variable statistics on the TI-83 family and TI-84 Plus family. x ={5, 9, 7, 4, 6, 250, 35, 100, 84} • Press [STAT] [ENTER] to enter the statistics list editor • Enter the numbers into the list by pressing each number and [ENTER] • Press [STAT] [right cursor] to enter the CALC menu • Select 1:1-Var Stats, 1-Var Stats will be typed on the home screen, press [ENTER] • The statistics will be displayed (The cursor keys can be used to scroll through the entire list of results) The example below will demonstrate how to calculate 2-variable statistics on the TI-83 family and TI-84 Plus family. Data for this example: x: {3,5,8,10} y: {7,2,3,1} To enter the data into the calculator, do the following: • Enter STAT edit mode by pressing [STAT][1]. • Enter the data in the L1 and L2 lists, pressing enter after each entry. • Press [2nd][QUIT] to leave the editor. To calculate 2-variable statistics, do the following: • Press [STAT][right cursor] to enter the CALC menu. • Select 2:2-Var Stats. (2-Var Stats will be typed on the home screen) • Press [2nd][L1][,][2nd][L2][ENTER] • The statistics will be displayed (The cursor keys can be used to scroll through the entire list of results)