Page 12 - Top Class Mathematics F4

Questions based on new SPM 2021
format (following the instrument sample)
Mathematics Form 4 Year-End Assessment

Section C
Bahagian C
[15 marks]
[15 markah]
Answer one question in this section.
Jawab satu soalan dalam bahagian ini.

16. Diagram 7 shows the marks obtained by 30 students in a Mathematics test.
Rajah 7 menunjukkan markah yang diperoleh oleh 30 orang pelajar dalam suatu ujian Matematik.

26 48 66 34 55 29
90 57 18 50 67 46
40 92 64 86 70 59
84 31 53 62 78 72
52 68 60 75 38 95
Diagram 7
Rajah 7
(a) Draw a stem-and-leaf plot to represent the information above.
Lukis plot batang-dan-daun untuk mewakili maklumat di atas.
[4 marks / 4 markah]
(b) Based on the given information, calculate
Berdasarkan maklumat yang diberikan, hitung
(i) range / julat [1 mark / 1 markah]
(ii) interquartil range / julat antara kuartil [2 marks / 2 markah]
(iii) mean / min [3 marks / 3 markah]
(iv) variance / varians [4 marks / 4 markah]
(v) standard deviation / sisihan piawai [1 mark / 1 markah]
Answer / Jawapan:

(a) Stem Leaf
Batang Daun
1 8
2 6 9
3 1 4 8
4 0 6 8
5 0 2 3 5 7 9
6 0 2 4 6 7 8
7 0 2 5 8
8 4 6
9 0 2 5

Key: 3 1 means 31 marks.
Kekunci: 3 1 bermakna 31 markah.

(b) n = 30
Σx = 26 + 48 + 66 + 34 + 55 + 29 + 90 + 57 + 18 + 50 + 67 + 46 + 40 + 92 + 64 + 86 + 70 + 59 + 84
+ 31 + 53 + 62 + 78 + 72 + 52 + 68 + 60 + 75 + 38 + 95
= 1 765
Σx = 26 + 48 + 66 + 34 + 55 + 29 + 90 + 57 + 18 + 50 + 67 + 46 + 40 + 92 + 64 + 86
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
+ 70 + 59 + 84 + 31 + 53 + 62 + 78 + 72 + 52 + 68 + 60 + 75 + 38 + 95 2
2
2
2
2
2
2
2
2
2
2
2
2
2
= 116 033
(i) Range / Julat = 95 – 18
= 77
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11 Ass Top Class Math F4.indd 168 05/12/2020 5:21 PM