Sukatan serakan, min mod dan median serta graf

Sukatan serakan untuk tingkatan 1 dan 3 menjawab soalan ujian akir tahun

1. SUKATAN SERAKAN MEASURE OF DISPERSION

2. 2,3,3,4,4,5,6,7,9,10,12 min max Range = max – min = 12 – 2 =10 New std deviation = 9.87 X 2 = 19.74

3. min max First quartile variance = 43294 – 58.6 2 10 = 895.44 Std deviation = = 29.92   difference = 895.44 – 29.92 = 865.52 2,3,5,5,6,6,6,7,7,7,8,9 median

4. 35,40,42,46,52,52,53,55,62,62,66,69,73,73,75 min max median Q1 Q3 median max min Q1 Q3 2m 1m 1m 1m 75

5. 45-49 44.5 50-54 55-59 60-64 65-69 49.5 54.5 59.5 64.5 69.5 39.5 54.5 59.5 64.5 69.5 49.5 2 6 8 10 3 1 1 1 1 2 12

6. 39.5 44.5 49.5 54.5 59.5 64.5 69.5 1 6 5 4 3 2 7 8 9 10 1 1 2 Bentuk loceng / bell shaped 1

7. a. MIN/ MEAN 10(1)+ 8 (2)+ 7(3)+ 5(4)+ 3(5)+ 3(6)+ 2(7) 10 + 8+7+5+3+3+2 = 3 b. varians / variance 10(1) 2 + 8 (2) 2 + 7(3) 2 + 5(4) 2 + 3(5) 2 + 3(6) 2 + 2(7) 2 10 + 8+7+5+3+3+2 - 3 2 =3.2632 1 1 2 1 13

8. 5 9 17 23 27 30 20.5 40.5 60.5 80.5 100.5 120.5 1 1

9. 0.5 20.5 40.5 60.5 80.5 100.5 120.5 5 30 25 20 15 10 35 1 1 2 1 1 Kekerapan longgokan Cumulative frequency Sempadan atas Upper boundary

10. 40.5 45.5 50.5 55.5 60.5 70.5 65.5 4 10 20 33 45 50 14

11. 40.5 45.5 50.5 55.5 60.5 65.5 70.5 5 30 25 20 15 10 35 40 45 50 1 1 2 1

12. T.T/MIDPOINT 3 8 13 18 23   a) i ) mean/min =   ii) Sisihan piawai / standard deviation - (   = 5.36 2 1 2 1

13. Sempadan atas /upper boundary 0.5 - 5.5 5.5 - 10.5 10.5- 15.5 15.5 - 20.5 20.5-25.5 Kekerapan longgokan / cumulative frequency 1 4 9 17 20 0.5 5.5 10.5 15.5 20.5 25.5 2 12 10 8 6 4 14 16 18 20 • • • • • • Sempadan atas /upper boundary Kekerapan longgokan / cumulative frequency Paksi seragam /Uniform axes P1 k2 Graf polygon longgokan betul / correct cumulative frequency N1 Semua titik bersambung betul / all point plot Correctly

14. 1 2

15. 14.5 19.5 24.5 29.5 34.5 39.5 44.5 49.5 5 10 15 20 25 30 35 40 45 50 Sempadan atas /upper boundary Kekerapan longgokan / cumulative frequency • • • • • • • • Paksi seragam /Uniform axes P1 k2 Graf polygon longgokan betul / correct cumulative frequency N1 Semua titik bersambung betul / all point plot Correctly

16. Julat antara kuartil / interquartile range = Q3-Q1   From graph, = 35.5 35.5   28 Julat antara kuartil / interquartile range = 35.5-28 = 9.5 Persentil ke 80/ the 80 th percentile   = 40 From the graph = 38 1 1 1 1 1

17. a) min/mean= b) varian /variance= 1 1 2 1 1 1

18. 0 0.5 20.5 40.5 60.5 80.5 100.5 120.5 5 10 15 20 25 30 35 Sempadan atas /upper boundary Kekerapan longgokan / cumulative frequency Paksi seragam /Uniform axes P1 k2 Graf polygon longgokan betul / correct cumulative frequency N1 Semua titik bersambung betul / all point plot Correctly

19. Bentuk loceng Pencong ke kiri Masa larian 100m(L16) terserak lebih luas berbanding 100m (L18) 100m (L16) running times are spread wider than 100m (L18) 100m L18 lebih baik kerana mempunyai catatan masa yang lebih baik 100m L18 is better because it has a better time record 1 1 1 1 18

20. 12.5 13.5 14.5 15.5 16.5 17.5 18.5 19.5 • • • • Q1 = 1 X 100 4 = 25 15.0 MEDIAN = 1 X 100 2 = 50 16.0 Q3 = 3 X 100 4 = 75 16.9 JULAT/ RANGE = MAX - MIN =19.5-12.5 = 7 JULAT ANTARA KUARTIL/ INTERQUARTILE RANGE =Q3-Q1 = 16.9-15 = 1.9 TABURAN SIMETRI/ SYMMETRY DISTRIBUTION 1 1 1 1 1 •