Casio fx-82MS and fx-100AU To enter some scores: 10, 12, 13, 16 MODE 2 to put the calculator into statistics mode – a small SD will appear on the display SHIFT CLR 1 = AC (the CLR shares with the mode key.) This will clear the statistics memory. Do this every time you enter scores, or rectify a mistake in entry. 10 M+ 12 M+ 13 M+ 16 M+ this has entered the four scores the number of scores (n) is 4 – this is displayed while entering Calculator symbol mean Sample standard deviation Population standard deviation Sample variance Scores added up Scores squared then added up Common symbol steps answer x xn 1 x or s SHIFT 2 1 = SHIFT 2 3 = 12.75 2.5 xn SHIFT 2 2 = 2.165 s2 SHIFT 2 3 = x = SHIFT 1 2 = 6.25 51 SHIFT 1 1 = 669 x x 2 x x 2 2 By using the shift key you are accessing the S-VAR key for the mean and standard deviations and the S-SUM key for the sums of the scores. To enter lots of some scores: score 10 12 13 16 frequency 12 5 9 7 SHIFT CLR 10 SHIFT 12 SHIFT 13 SHIFT 16 SHIFT 1 = AC , 12 M+ , 5 M+ , 9 M+ , 7 M+ (the comma (,) key is next to the M+ key) By using the shift key you are accessing the semi colon which is used to separate the score from its frequency. (the total number of scores (n) entered is 33) Once the scores are entered find the mean and standard deviation as above If the scores are a sample x 12.394 s 2.263 s 2 5.121 x 409 x 2 5233 If the scores are a population 12.394 2.228 2 4.966 x 409 x 2 5233 To enter grouped data: group > 0 up to and including 10 >10 up to and including 20 >20 up to and including 30 >30 up to and including 40 frequency 25 33 21 30 You need to use the midpoint of each group and the frequency: (0+10)/2=5 (10+20)/2=15 (20+30)/2=25 (30+40)/2=35 SHIFT CLR 5 SHIFT , 15 SHIFT , 25 SHIFT , 35 SHIFT , 1 = AC 25 M+ 33 M+ 21 M+ 30 M+ (n = 109) If the scores are a sample Approximate: x 20.138 Approximate: s 11.272 Approximate: s 2 127.064 If the scores are a population Approximate: 20.138 Approximate: 11.220 Approximate: 2 125.898 The mean and standard deviation are only approximate because we are using each class centre to approximate the individual scores in each group. The Linear Regression functions To enter an x and y data set x score (independent variable) 5 8 6 7 10 MODE 3 1 SHIFT CLR 1 = AC 5 , 20 M+ 8 , 18 M+ 6 , 22 M+ 7 , 28 M+ 10 , 27 M+ y score (dependent variable) 20 18 22 28 27 a small reg will appear on the display The comma is used to separate an x score from a y score, whereas the semi colon is used to separate a score from its frequency. SHIFT 2 and the right replay arrow twice 1 the regression line A = 16.189 = this will give A – the y-intercept of SHIFT 2 and the right replay arrow twice 2 = this will give B – the slope of the regression line B = 0.946 SHIFT 2 and the right replay arrow twice 3 = coefficient r = 0.417 this will give r – the correlation The means and sums are found by using the S-VAR and S-SUM keys and the right replay arrow key.