The Calculation of Frequency Distribution, Mean, Variance, and The Calculation of Frequency Distribution, Mean, Variance, and

Table 1.4 Score of Frequency Distribution of the Post-test of the Controlled Class No. Interval Low Class Boundary Up Class Boundary X i f i f k X i 2 f i. X i f i. X i 2 1. 60-63 59.5 63.5 61.5 4 4 3782.25 246 15129 2. 64-67 63.5 67.5 65.5 2 6 4290.25 131 8580.5 3 68-71 67.5 71.5 69.5 3 9 4830.25 208.5 14490.75 4. 72-75 71.5 75.5 73.5 9 17 5402.25 661.5 48620.25 5. 76-79 75.5 79.5 77.5 3 21 6006.25 232.5 18018.75 6. 80-83 79.5 83.5 81.5 9 30 6642.25 733.5 59780.25 30 2213 164619.5 6. Mean M = ∑ ∑ = = 73.76 7. Variance S 2 S 2 = ∑ = = = = 47.37 8. Standard Deviation S d S d = √ = √ = 6.88 APPENDIX 3 Normality of Pre-test

A. Experimental Class Pre-test Calculation

The formulation: Z i = ̅  X = the students’ score from the experimental class interval  ̅ = the mean score of experimental group class pre-test  = standard of deviation FZ i = Z i value on Z table SZ i = FZ i -SZ i = the difference value of FZ i and SZ i Table 2.1 Normality of Pre-test of the Experimental Class No X f Z i FZ i f k SZ i FZ i -SZ i 1 53 5 -1.74 0.0409 5 0,1666 0,1257 2 60 4 -0.88 0.1894 9 0.3000 0,1106 3 65 4 -0.26 0,3974 13 0,4333 0,0359 4 67 3 -0.01 0,496 16 0,5333 0,0373 5 70 4 0.35 0,6368 20 0,6666 0,0298 6 75 5 0.96 0,8289 25 0,8333 0,0044 7 77 2 1.21 0,8869 27 0.9000 0,0131 8 80 3 1.58 0,9429 30 1.0000 0,0571

B. Controlled Class Pre-test Calculation

The formulation: Z i = ̅  X = the students’ score from the controlled class interval  ̅ = the mean score of controlled class pre-test  = standard of deviation FZ i = Z i value on Z table SZ i = FZ i -SZ i = the difference value of FZ i and SZ i Table 2.2. Normality Pre-test of the Controlled Class No X f Z i FZ i f k SZ i FZ i -SZ i 1 57 3 -1,58 0,0571 3 0,1 0,0429 2 63 5 -1,19 0,117 7 0,2333 0,1163 3 67 5 -0,8 0,2119 9 0,3 0,0881 4 68 3 -0,15 0,4404 14 0,4666 0,0262 5 70 4 0,1 0,5398 17 0,5666 0,0268 6 75 5 0,63 0,7357 23 0,7666 0,0309 7 78 2 0,89 0,8133 27 0,9000 0,0867 8 80 3 1,41 0,9207 30 1.0000 0,0793 APPENDIX 4 Normality of Post-test

A. Experimental Class Post-test Calculation

The formulation: Z i = ̅  X = the students’ score from the experimental class interval  ̅ = the mean score of experimental group class post-test  = standard of deviation FZ i = Z i value on Z table SZ i = FZ i -SZ i = the difference value of FZ i and SZ i Table 2.3. Normality Pos-test of the Experimental Class No X f Z i FZ i f k SZ i FZ i -SZ i 1 67 2 -2.24 0.0125 2 0.0666 0.0541 2 73 2 -1.42 0.0778 4 0.1333 0.0555 3 75 3 -0.76 0.2236 7 0.2333 0.0097 4 77 5 -0.43 0.3336 12 0.4000 0.0664 5 80 6 0.06 0.5239 18 0.6000 0.0761 6 83 5 0.55 0.7088 23 0.7666 0.0578 7 87 4 1.04 0.8508 26 0.8666 0.0158 8 89 3 1.37 0.9147 30 1.0000 0.0850

B. Controlled Class Post-test Calculation

The formulation: Z i = ̅  X = the students’ score from the controlled class interval  ̅ = the mean score of controlled class post-test  = standard of deviation FZ i = Z i value on Z table SZ i = FZ i -SZ i = the difference value of FZ i and SZ i Table 2.4. Normality Post-test of the Controlled Class No X f Z i FZ i f k SZ i FZ i -SZ i 1 60 3 -2 0.0228 4 0.1333 0.1105 2 67 2 -0.98 0.1635 6 0.2000 0.0365 3 70 5 -0.54 0.2946 9 0.3000 0.0054 4 73 3 -0.25 0.4013 13 0.4333 0.0320 5 75 5 0.18 0.5714 18 0.6000 0.0286 6 77 4 0.61 0.7291 21 0.7000 0.0291 7 80 4 0.90 0.8159 26 0.8666 0.0507 8 83 4 1.34 0.9099 30 1.0000 0.0901

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