To use your calculator for calculating statistics, you must become familiar with the process of changing into and out of the required mode For basic statistics using CASIO fx-MS CASIO fx-Tl CASIO fx-W CASIO fx-100S MODE 2 When you are successfully in statistics mode, a symbol sd should appear at the top of your screen. For basic statistics using MODE MODE CASIO fx-570W 1 When you are successfully in statistics mode, a symbol sd should appear at the top of your screen. For basic statistics using SHARP Advanced D.H.L. calculator 2nd F DRG 1 When you are successfully in statistics mode, a symbol Stat x should appear at the top of your screen. BEFORE ENTERING ANY DATA It is important that you are not carrying any previously entered data into the next calculation, so make sure that your memory is cleared. THE FIRST OPERATION YOU DO WHENEVER YOU START TO PROCESS ANY DATA IS TO CLEAR ANY EXISTING DATA. THIS DOES NOT HAPPEN SIMPLY BY TURNING THE CALCULATOR OFF!!! Casiofx-82TL Casiofx-82MS Casiofx-100S fx-82W fx-570W SHIFT AC = SHIFT or MODE MODE 1 = SHIFT C 2 Sharp Advanced DHL CA 2nd F DEL 2nd F DRG or 1 To check the number of entries: Casiofx-82TL Casiofx-82MS Casiofx-100S fx-82W fx-570W RCL C SHIFT 1 3 = You can also use the “up/down” replay arrows to check and change entries. Sharp Advanced DHL RCL 0 RCL 3 Entering the data Data may be entered as individual scores, or in multiples of each score. To enter the data individually : M+ x value or value of the score This is referred to as the DATA ENTRY key. Enter the following data 250 208 300 225 225 210 210 250 275 275 202 225 290 210 320 When you have entered them all, check that the number of entries is correct ie n 15 And now the statistics and their respective symbols Sample symbol Population symbol Size n N Mean x Standard deviation s Variance s2 Calculator symbol n x n for population x n1 for sample 2 These symbols are different on the Sharp calculator To understand the meaning of these statistics, refer to other resources To find them on your Casio fx-82MS calculator: for symbol Sample size n use SHIFT S-SUM 1 Mean x SHIFT x n SHIFT Sample Standard Deviation x n1 SHIFT = 1 = S-VAR 2 Population Standard Deviation 3 S-VAR 2 2 = 3 = S-VAR 2 To calculate the variance, get the s.d. and then use: x2 = To find them on the Casio fx-82TL and 570W calculators: for symbol Sample size n Mean Population Standard Deviation Sample Standard Deviation use RCL x x n x n1 C SHIFT 1 = 2 = SHIFT SHIFT = 3 To calculate the variance, get the s.d. and then use: x2 = To find them on your Casio fx-82W calculator: for symbol Sample size n use RCL Mean 3 = 1 = 2 = SHIFT x Population Standard Deviation x n Sample Standard Deviation x n1 SHIFT SHIFT = 3 To calculate the variance, get the s.d. and then use: x2 = To find them on your Sharp DHL calculator: for symbol n Sample size Mean use RCL 0 x RCL 4 Population Standard Deviation x RCL 6 Sample Standard Deviation sx RCL 5 To calculate the variance, get the s.d. and then use: x2 = To find them on your Casio fx-100S calculator: for symbol Sample size n Mean use RCL 3 x RCL 1 Population Standard Deviation x n RCL 2 Sample Standard Deviation x n1 RCL 3 To calculate the variance, get the s.d. and then use: x2 = Using the data you have already entered, find the mean, standard deviations and variances for both population and sample Recall n 15 mean 245 Population sd 37.07 Sample sd 38.38 Population variance 1374.53 Sample variance 1472.7 All correct? Great work. If you have not the correct answers, then you will have to re-enter Your data – after CLEARING the previous entries. If you have a Casio fx-82MS, you can check your data entries and correct them. Try this example: 32.10, 12.10, n 11 -45.00, 18.00, 66.00, 2.53, -8.10, 21.00, -31.00, 2.10 mean 1.68 Population sd 32.97 Sample sd 34.58 Population variance 1086.89 Sample variance 1195.58 -51.25, If you do not have these answers, first check how you entered the negative values. You must use the +/- or (-) key for negative values – NOT the operation “minus” key. To enter multiple or grouped data • Enter six 2’s on your calculator • What if you had to enter 20, 50, …? • Now try: Casio fx 82 MS, TL and W and 570W: x-value 2 Casio 100S SHIFT ’ f M+ x-value × f M+ SHIFT ’ 6 M+ 2 × 6 M+ Sharp D.H.L x-value 2nd F STO f M+ 2 2nd F STO 6 M+ PRACTISE x f 2 11 3 12 4 16 5 15 6 20 7 17 8 17 9 12 Casio fx 82 MS, TL and W and 570W: x-value SHIFT ’ f M+ Casio 100S x-value × f M+ Sharp D.H.L x-value 2nd F STO f M+ n 120, x 5.66, 2.127, s 2.135 2 4.52 and s 2 4.56