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MathNotes MAT 102 – General Education Mathematics G. H. Krader, Instructor 1-Variable and 2-Variable Statistics on Your Calculator 1-Variable Statistics: Find the mean and standard deviation of the following exam scores: 63 67 74 TI-30 Series Calculator Clear any data that you had entered previously. 1. Press [2nd][STAT] and use the arrow key to select CLRDATA. Enter the data points. 2. Press [2nd][STAT]. Select 1-VAR and press [ENTER]. 3. Press [DATA]. 4. The display will show X1=. Enter the first value, 63. 5. Press 6. The display will show FRQ=1. This means that the value “63” occurs only once. If there were three occurrences of 63, you could enter FRQ=3 instead of entering 63 three times. 7. Press 8. Enter the remaining data points by repeating Steps 4, 5 and 6. 9. After you enter the last data point (X6=90) and its frequency (FRQ=1), the display will ask you for X7. Because there are no more data points, press twice. Now the display will show the first data point, X1=63. Compute the statistics. 10. Press [STATVAR]. 11. Use the arrow keys to select the statistic you want to display. Choices that we will be using are: n = No. of data points entered. x = Mean of the data points. Sx = Sample standard deviation. (Use this standard deviation when the data points come from a sample). x = Population standard deviation. (Use this standard deviation when the data points come from a population). [email protected] 76 84 90 TI-83 or 84 Series Graphing Calculator Enter the data points as one of 6 lists. We will use L1 in this example. 1. Press [STAT]. 2. In the EDIT menu, highlight 1:Edit and press [ENTER]. 3. Move the cursor to L1. Highlight the list name (L1) at the top of the screen. If the list is not empty, press [CLEAR] [ENTER] to clear the list. 4. Move the cursor down to the first entry in the list. Enter the first value, 63, then press [ENTER]. 5. Enter the remaining data points as in Step 4. Compute the statistics. 6. After all the data points have been entered, press [STAT]. 7. Use the cursor to display the CALC menu, then highlight 1:1-Var Stats and press [ENTER] twice. 8. The display will show statistics that include the following (you will need to use the key to show the entire display). x = Mean of the data points. Sx = Sample standard deviation. (Use this standard deviation when the data points come from a sample). x = Population standard deviation. (Use this standard deviation when the data points come from a population). n = No. of data points entered. min X = Minimum value. Q1 = First quartile. Med = Median. Q3 = Third quartile. max X = Maximum value. kradermath.jimdo.com Iss 1.0 Math Notes MAT 102 – General Education Mathematics G. H. Krader, Instructor 1-Variable and 2-Variable Statistics on Your Calculator Page 2 2-Variable Statistics: Find the linear correlation coefficient and the line of best fit for the following data points: (0,10) (8,15) (14,17) TI-30 Series Calculator Clear any data that you had entered previously. 1. Press [2nd][STAT] and use the arrow key to select CLRDATA. Enter the data points. 2. Press [2nd][STAT]. Select 2-VAR and press [ENTER]. 3. Press [DATA]. 4. The display will show X1=. Enter the first X value, 0. 5. Press 6. The display will show Y1=1. Enter the first Y value, 10, in place of the default value 1. 7. Press 8. Enter the remaining X and Y values by repeating Steps 4 through 7. 9. After you enter the last Y value (Y5=30), the display will ask you for X6. Because there are no more data points, press twice. Now the display will show the first data point, X1=0. Compute the statistics. 10. Press [STATVAR]. 11. Use the arrow keys to select the statistic you want to display. Choices needed to find the line of best fit are: a = Slope of the line of best fit. b = Y-intercept of the line of best fit. r = Linear correlation coefficient. NOTE: Pressing [2nd][EXIT STAT][ENTER] will clear all data points and exit the STAT mode. NOTE: If you have a TI-30 series calculator, you may watch a tutorial on 1-Variable statistics at the following web site (Click on Tutorial No. 11): (18,25) (25,30) TI-83 or 84 Series Graphing Calculator Enter the data points as two lists – one list for the Xvalues and one list for the Y-values. In this example, we will use L1 for the X-values and L2 for the Y-values. 1. Press [STAT]. 2. In the EDIT menu, highlight 1:Edit and press [ENTER]. 3. Move the cursor to L1. Highlight the list name (L1) at the top of the screen. If the list is not empty, press [CLEAR] [ENTER] to clear the list. 4. Move the cursor down to the first entry in the list. Enter the first value, 0, then press [ENTER]. 5. Enter the remaining X-values as in Step 4. 6. Move the cursor to L2. Clear out L2, and enter the Y-values as in Steps 3 through 5. Compute the statistics. 7. After all the data points have been entered, press [STAT]. 8. Use the cursor to display the CALC menu, then highlight 4:LinReg(ax+b) and press [ENTER] twice. 9. The display will show: a = Slope of the line of best fit. b = Y-intercept of the line of best fit. r = Linear correlation coefficient. If r did not display, you must do the following ONE TIME ONLY: 10. Press [2nd][CATALOG] 11. Press the key (the key with a green “D”) to move the cursor to the D’s. 12. Use the cursor to find DiagnosticOn. 13. Press [ENTER] twice. 14. Go back to Step 7. NOTE: You may obtain additional statistics, such as the means of the X and Y values, by selecting 2:2-Var Stats on the CALC menu. http://movies.atomiclearning.com/k12/ti30xs/ © 2008 Geoffrey H. Krader [email protected] kradermath.jimdo.com Iss 1.0