A. MIN, MODE, MEDIAN AND STANDARD DEVIATION CALCULATION FOR THE TEST SCORES.

SCORESXfMid-pointxfxfx

1 30200

4 60500

7 98864512

10 1215111651815

13 - 15714981372

TOTALf = 30fx = 327 fx = 3699

1. Mean:X = 327 30 = 10.9

2. Median:(a) Median location: n = 30 2 3 = 15

(b) The median location is at 10 12. Lm = 9.5f m-1 = 0 + 0 + 8 = 8f m = 15C m = 3

(c) Median score : X = 9.5 + (30 8) 5159.5 + (1.46) 59.5 + 7.3=16.8

3. Mode:(a) The highest frequency is 15, so the modal class is 10-12. Lm = 9.51 = 72 = 8C = 3

(b) Mode/Modal scores: X = 9.5 + ( 7 ) 3 7+8 9.5 + ( 7 ) 3 159.5 + 1.4=10.9

4. Standard deviation(a) Variance == S = 3699 (327) 30 30 1 3699 3564.329 134.7 29= 4.64

(b) Standard deviation = S = = 2.15

B. T-SCORE AND Z-SCORE FOR TEST SCORESSCOREST SCOREZ - SCORE

731.9- 1.81

836.6- 1.34

941.2- 0.88

1045.9- 0.41

1150.40.04

1255.10.57

1359.70.97

1464.41.44